View
1
Download
0
Category
Preview:
Citation preview
24 KOII
PeAalCfOQ G6Koncco oa IIaKeT H A KtJCCJIcHo A
Roq CHO a ne~a 04 I I 8S $OQMuT 60~9016 O~e T H~ ne~aT_ Y~ -M3A~CJO J 56
TIto1I) 510 3aKal 36900
H3n~~na(K~~ OTA~n 06~eAHKe~oro HriC J~Tya ~epHwX HccneAOeaH Aifiua f1o c I(OaCKoH 06acTH
Ofi bB AM H8HH bl M MH cn TYT uepHbl X
MCCn 8llO B3H MM
AYfiH a
P2 85 729
Ll I3 UIHpKOB
KBAHTOB~E np~H UIm h
BO B3A~MOAE~CTR~HX nOflE~
1985
I KBaITOBU8 DpIllln
TeopIJI aJleMJmT8pma BSllIIWlllelcTBHII JdltKPOl8CTHU 1 e KBaHshy
TODIlJ TeopIJI nOJlSl (KllI) B TOlolUle DOCJJeJlH)X lIBYX lleCllTlIJleTH~
HClIHTllB8aT Dce 0011bullbull npllO npoJtJWiDJlecfI MKRHHO PM8 nplUshy
IllIDOD B TOM DIM IlJllIl1UIIIOIl CKMMllTpllH o co6oro Tlffia liP ltPoPIYshy
I I JlHpoBKa RO1OplX CYilOCTUCIUIO II 0DOIlOYI7Tegti KBaHTOBlle DOWlTRf
H DpeIlCTBBneHampR
XPOIIOJlOIlleCKI n opalD 101110 0 0 031UUUIllgtl IlJllHJlIIIION Tallora
polla JIllIIJICJI npHlllJlD nOKallbIlOA KWlKOPOIlOUlOA (1I1 01JlIII (npIUlUllII
Jll(C) middot B ero OCHooe JlomIT IJIOJI 0 IIOIIUMIIVIt MOCTH ltPoO U DOJIeDOlI
WYHKmrn iliH3HqeOKOe cOllepruI~ MOlt TOOIIO CWI08HO C KB8Hshy
TOBHM xapaKTepoM aTOll oWHKUIlH IIllJUlD~ ft ulI oll ul~ITOpJUIM 0606l11eKlleM
peIlJITlm llcTcIIo ll BOJIHoBoll oWllKUllH IDpclllluopu ltItjlHlUl TIlJltIt1 06shy
pa30M ~3He cJlta1l HliTepnpeT81ll111 nOKWIJlIOft IUUll~ PO I II)1I10ft C1IOTshy
JlIII MOlleT 6 1amp lIllHa JIIIIIJh KBOIITOOOMY IlOJIllo n o lolY Ill HOIIOJlhshy
J ODaIIHJJ 1ltB8HTOBOro co06paaeHJIII 0 IIOIIUI1ilIltlIllMOO 11 111 rlll((lSl
CIDAlCTpwI idQaeT 6l1Tb lIoollellll JIJIIIII ltPoJlMlULIIO
BTOJliU ilpollO ICU()JI]03YOlll1M CeR8c D ORrYOJI blllX MIIIIIITCl llOshy
n011BBUX nOCJIeJtoB8HWlX UUllmoN KOTOpUa nOJnt KOM OI nlpn l1r Olf
JUt KBaHTOBHe npellCT8nneHlUl I[BJlHOlOIt npuuum 0YII Oil( HMMr I1lu1
CynejlC1lMMeTpHII YCl8H8BJIItIlaeT eMSI M8WIY 1WW11OllllMlt nIiUI 1I1I1I
IJUlJIOllHMll ltJ[ Jl83Jl1I11WM KB8HTOBHM CTaTH C11 bull ITpo())pi 10UWuu
CYIIOPCmoccTpmt II nepenyTKBllIn 6oae- JJ ~JNH-rIOJUI DCJlOn GTHIIO
qero cynopClIeljlIUl ReJD3il PlYJlsPOBaTb npoCII1M H OCTTIIIIIIUU
IIYTell ~ KlIeCCIIIeCKIIX nOJloR
TJIITbIIM npHilUllDoM TBKOro polin cnell)leT Ha31i1lTL IIpn1l1U1i1 1
1I0JlMl1PyeMllCTII C80lIolBO nepeHoJlMl1PYOMOCTI CIjlo[MYJII I Ullh
2
B KOHne 4O-x rQ)tOB nepnoHatWllaHo npeJtCTaBJlJtIIOCh ltBllt orpampHJReshy
lllIe H8 Sooop MEalllDl3MB ualUUlOneRCTBIDl noJlel r B03MOmlO cllSI3rurnoe
c lleOOBepmO~OTDOM AOCTynllHX MeTOAOraquo KB8HTOsonaA9BKX paC~9TOB
)r8 TOWl apeHlU nocTonelil1O nOllllpIJlac cytllecTBellllOA IpalloltPo~
Mllllllll II B COBpeMlllUlOft 06nonJllRflTOi ltPoPIIYlIBpoue cnoDCIBO nepello~
MIlpyeMOCTH OCTh cooRO1tiO M8CCPIlecJtOA lIIJtleJl1l BSamIDJIeAcIllM noshy
Jlell bull ltPoMAllPYOMOe K8J YCllOBHO BO_OCTl nOCTpoOl1IJI ero OOCshy
Jl8lJOBBTeJlLnoS KBaRTOool Bepcmil YoKHO CK83STL f ttTO rrepcJloprmshy
flYBlII)Cn 9KBlB8J1eHma KB8HTYeMOCTM
06paTMlI BIDMWlHe He TO liTO fUlK ynoorpe6nRell8H DplI UTOM
~elWllIOJIOIIIf T3K H cnOJlb3yeMllll lJl~orll1t COIlpS9YlOIl9llT napshy
lUDIOCT M8CClJteCmlO paCCMOTpemtfl iI BTOplN1l0CTL KBaHTOnoIO
ECJIII ae 00 rJlllBy yrna nOCT8BHTb IltB8RT0800 nOllo K8R eltJlllHll YlDlshy
JlC81LJrul liH3l11ec a OOOKT bull 1IIIIJl1II noIUl It l8Cl11U1lt 11J18CCHshy
001lt04 4013II1ltII 8 oepeXOlRlllllft B IOIX B HWPleamp8IIIIX OpelleJIbHJa oxyshy
lt8JIX TO nepeRopyeCTpound - Kll8f(lyeMOcn - lIJlII06poTO lIJIYIo~
cMllCI Eo IOIOampHO TJlIllltIOll8Th JltaR YCJloDlle oy~OCTBOI)8IIIII BIJYTpeHHe
HonpoTIIBOpampWI01 3W11ll B38llMOileliOTlIBlI KBBlIIOBYX DOJIcR 06n8shy
ABfIIIel KlI800lC IU18AOlON 981U1R110ro _ lllieimo 181lt08 ClGICJJ
l1li ~ 6YIleM BIltlI8IIMBIlTlgt nlUle B njIKlUIIIII oepeUOpllllpyoMOCTIf
B CJlOJt)lJll pe91llllle NY paCCMOTplDI 4iI311lecKOe COlle~e It
WltlllilTllIeom JMleHlle npol1EIl)Ipw nepeHoJlMl1poBOlt B KBIIHroBOI
TOOJ)llll DOlIJI ITO 1801 HAIl Ho06xo)Ullllltl WU80I1IIT JIIIII llMbHeilloro
06cJ1IjeltlUl ee CWIlU c peHOpNIpynnol II lI8JiIIIlle YJlbTjl8fIIIOlIeTOshy
BIIX peOXOJ[JllOCTei B B IltOHelllOM CleTe JIIIII ltPoPMYurPOIUQI npmmllshy
na nepeHOpllllpyeOTB )ro nOIBelleT HOC K OCHOBlIOI(I CaaeTY
I11III010 aOC)llflJOBBlDlil - YCIOHOMelamplgt poJtH JltB8llTOBYX njlllHlDDloB B
IjiOpIIlIPOBWIJIJI 06Ulta coopeowlOlol TOOjlllll OBIIX oOJIel
1N UJ i1-~JlM - ~ 1 -1 11- _ - lJ~ ~ ~- t
r
2 [looneAYOO neOOHO[NllOOOOK
llpowmpo npeHoJlGljlOSlI npoDOllllWI U)lOlt)cce pemolll1Jl
IltIIlJIT01lWC YplJlHaIlllA U B I1fJJIOtc ItpellOTaJlJlReCIl D Bllle oc06oro
opeJDIIICIllDJR 4JoIWYJI1PYlO 110nOJlltllrMJiliO Jlt oeHOllIlOMY 8KeIlY
lIBlIJ[el 310 06CTOll1IlJLCTBO a TIlltIII) HeBOSMOIllOCTL poelo~
4utJlA8Cltott lIHrepnpcTBUBlt COOTHOl1eJIl nepenoIraquoG1PDulU BCJlDllOTBHe
KX ClIltryJllijlllOro xapalttepe awWI8IlT OIlYIIlOHJe CT~ntqCKOft 8
MIIOrl18 bull OplllllllllllllWoHOI HCYIIOJlJle1llOpellllOCrH2I
B nOCII=e roIU 06l11tl1 KIIepee K uepelfojllUljlOSKWI 3H8111shy
TeJIJolIO B03JlOC to aT bull no HpaJneA Mepa lIB nJllllll1ll C 011shy
HoB CIOPOlW DPOWIOpe nepeaojlMJlpoBOK RlIJLI8Cb JlOlllqecKOft
XOTJl H ItOnOJl1dlo CJlOZHol oe8000l Im8HIOOOUOJleBol p8HOPMI1JYIDDl
Jl8BWeA JfOIJtIIIIlI TOII III1W1l13a YJlLTpaiflltotaTollOro OOllel1ellllJl D Hlll
H C ae3HDltIITeJIlolll4olll JIl$IICalllUJOJ oKBWllleOJ 3ijrjJeDIIol 8
PHJIe Olt1JacTell ltampI91K11 eCL ltWIelQlX OT IIIIlqIOl8CTIIU 8 1lX DIII)O)shy
lteSoTBBl
B TO 1lt0 BjKIMR nOllJlTlt nepOHOjllllPYOloOcm B callO RllIlJlTOBol
eoPKH Donn DpHodpeTse Bee OnIbmee 3H8qeKHe KPBTep~ napeHOpshy
MlIpyelolOCTII CMIpeJ BIUIItyIgt 3SPMCT1Il801l1l poJIb npH KllaplOBOM
pIQ1111pelllll CT8Ul8j)11101 IIOJtGJD aJlCKTjlOOJIlld B91l1101ldcTBBI 8
B ltIXlJllmPOBaBllll lJOBSmIa nOKOJlOJIld ~01l01l B 1I0Bebu lICotoshy
IIOBlllUlJlX 110 loIOIIeJlJtIoI cYDepo0100JllDi91iW1 1I4e_ 06lYJ) CTpalell shy
qecJQD IUUIL nOCTpoeHJIJJ KB8HIoBOnoneBOI cxe oampbeJUn~el Bce
~orHpe ll3BIDIOIIeICTUIl nlltllllqAH rpalllllllJl3)J He OCUOBe cynepshy
ClIWOelPIIil ( TOmee cyneprpWIU01UlJt) 7peOOBalllle uopeHOIJdPYeshy
Onl IIlpoeT IIllllpa1IYII poJIb )a1tO He wtylalblo ITO OOJepshy
IWIRe llOHIlrHll nepeHOPMKpyealaquoJOTI HHOBh a BliOBt rJPJlBIlOltaeT llHHshy
MaJIiIe n eJlYlllX ~9I1KOB-TeopoTllXoB (Clot nnp upl34)
OPOJlllJlY1l8 YCTpoHOIIIUI yTjlI$OJIelOB pecxollllMOCTel Texshy
lIlIleCKli peCIJllIIlleTOR H8 l1B8 Tanll BCIJOJlaquo)IQTWIlgtIYII jXlIYIIRJllIshy
38U11J) II mAJlTaBlIe ClIHIYJUtplUlX BJCll8JtOB Te C06ClIJeHBO TIepeshy
HO~BIC)I 1l8lldOJlee eCTeCrBeHRol USCIo poryJIRpl3BUU1 061 shy
88H11eY B lIMJtyJl~CHOW nplOTp6HOTae Jler KO 8cco~ellUl c Hershy
JIJlIIIIOmiddot oaeplllllleJl paallllSKli ToqeIIHX 8CTIlU 11 UPOCTp8IICTIlashy
npoHII npll 3TOM n0JtP93YtceBaJIOCb 0 JlOlWJ[bltylgt IIllBHrOBYJl Tashy
OJlHll DOJIJi MOmIO IJpelCIBIWIIh ICAK IItWIeamp8lllBlI npelleJl1oHHA OJIYshy
181 UeaOJlt8AhHOft EoJIee JIelanHoe KccqeuOBmtlle nOK8~UDaeT I TlO
a~ KOIlItIIIIlIiII nOClleJtODSTeJIloIlO npoeOTH He Yl18eOK Bo91l11C8111
TPYlIHOCB C OOXp9119I1l1e CHMMOTPHI IJPKCYMBX ~O~LHOa KBnHTODOA
TeOPllil nOJlJI TBlO(l(lt8K ClUotlleTP OTHOCHTeJIhIIO Dpe06pasOIl8HJlI
(]y8HE8PO KWIlldpoBOIIIIIX npeoOpaaOll8llKI fl T D 3ro pa30Qapo1l1lB8shy
DlIBlI ~XI du OC03110l 1l0BOJlIgtIIO 11911110 - II KOIllD 4O-x roltOD
B0JI81tCTBHe oe1O K peryllltp3UIlI CT8JJI 01I0CRloCR ICAR K 4Jopromoloshy
HOMY TeXlIlIqeCKOgtry DJlIlewy lie lIliT9JlOIo 1II0IIIIT1o B Bee KBJallhllltOO
ltampIanee 8CCOIlll8Q11A HeKe1opoe BpeM raquoecloIIS nonyVIpaol B
JltlIOlrlOBOR lIJIenJXlltllllBgtCHKC (K3Jl) OWlO peryJIRJlII38lIBR llayJUI -
IIIIJIJtspcs 4JopllllllloHO OIlllJl8DllllOJ H8 IIOIJOJUDI DOOOWOl8TMIoshy
)We UOJl1I C KBaHT8iDI Ollew 6onmo1 HO ItOH8D101 MBCCll t odJIaaashy
lII0I K ~0Iq iIllItE$tllllO~ JlIlICO B ~x 6(x lO)lIX 10shy
KIIe noIJl HIlKWltiIX IjBslIecKIX 8CCOQIIBuaI lie llHS1IJlWOI H BOcnpHBIIshy
trmJ(BOL DlCTO 4Joplll8J1hHo Tuoe e O1H0Dl8HXe BWSYBWlB Tax HSS
BIIMlIT1ItacIaR poryJlJijllt3S11illl 5 0 TB npe)llloaelUlWi B naqMo
7(x 1OIIOB pa311llptlWl peryJlRJlIIBIUIII 6 T peryllBjllt3SIliUl B8-
IIllHeI[IlC~ tIlCJIa H3pelllll njlOcTpeIIOnelDlo-BpelllllDloro MlIoro06pashy
3l11li BIl He[lellOe tQlMO D - lj - E bull OTJDIIUlIIQe80S1 01 4 H8 6ec shy
OHelliO IIWIYJl B8IlIllI1Y
4
5
lOMO RlIIIOIO BCJJelUtJl perylUlpOlUlliWX ltjgteIluwOBOKlX
ntflerpanOB HBoTynatJl Olepel1b IDNII88lB ClDUyJJJlPHoClefl B BtNshy
TIUUll( BypueHAAX OOOTBeTBY1JIUft 08pBMeTp perYJlljllI3SIllII ( shy
nyuc o6peElKlIJl Ilt8cca layJl1l - Bwaplla A 1IlIB 6eC1ltOH8lHO
lJwA napn140Tp pnueploe poryJUtjlll31lIU11 f_~ 4- 1) YCTpeW-
JUlBTCSI K CBoe~ cfH3UQecKOUY 9RaleRBJ) ( 1 ~ OJ) pound 7 0 )
BomlUtaWlZe clfitllYJl1Jpmie B OTOU npeJeJle cnaraeMliC nponopIJKOshy
we CTeneflml bull ~orapli4JllaM I IIIlI CTeneRlllol BeJUDlHll C 1
BW7eJlImTCA ~ 3BTeJ( BlIlQJavCJ11 T e oldpaCiltaJlTCSJ 3Ta no 0shy
JleliJ1RR R1llfOonee cytIteCTDeUHaR onepa~ r4gtamp8T 61lTlgt ~pMa1Ik9oshy
lUlHB pa3JUlUIWMif nyTmm
06ll10 RonOJlb3ym onepallfO BBClleJmJl B acxo)lll1l lBlJl8HlIIIshy
BH T8K U83 IWllTPllJI6HOB T 9 llOnOJrnHTeJlDliIlX CJI8l8earuJ( I C CKJ(shy
rYJlJIjlHHMII lltOocfxl2llJ1eUTBJltlI (npoIloplijOllWlLltllMi A bull 1 II i e) lHiJI~ IroTOPllX noramam C1IHIYJlJlpHble COCfaBlIflDlWc MalpiPOillX
MeNeRIOB KakolO-JIll60 npH9411W4orO qmalPleCKOlO HCTOAJtOBalUUl
ouepllllJlH AJ)OBMellRll OBJUyJUtpmltx 1lt01trpltUleHOB nan no ynaeTCR
iny OTKPOOOHHO 4ltlJlM8lLHYI npolWJt)py 11)0 aaweHHTb liB llPyshy
rYJJ JICJlO 0 TOM lITO B npoCTpaHC1BelUIO- BpeMBlUIOM npenc9BJJeEDi~
npo6l YJIlgtT~OJIeTOB pnCXOJll)lOCTBlaquo nepeMelll8eTCJI IIll CBOshy
lOa WHYC I110 nponarnTOpI IllmKeJtWCpr3 - ~BH8 HIOIlIlT
OCOc1eHHOOTK no nepeWOIDIOa KDalij)8ra 4-ml1epn8JItl s aIE c a t L _ X 2 bull
nOCK~KY TfIIIIlUIO fOItr~ BHJlIWI)JlCJI ~Cpe3 npoHB811ellltJ nposhy
naraTopoB ~o npJIXO)lBTM 11 1l0ll0 c nponOOllelUWoQl nOll0611l1X
CllIIYJlRjlKOCTBa IallJlI1BP KlllllpIlTruG llwloTa~ lltpalUl
S(s ) C I4BTocwA TOUa 3peIM Opo ClIO)lBTCR
R 3QJlSQe onpelltlJlCH1IR onopelljl YMIlaaeUIR 0606l1leflHlD( W laquo OTBeTCTBYmmHA pe311W cospeWBllHoA TOMaTHKH BOHHK b 3O-x _
6
4O-x OJlax 78 6yllY B~3BBH K WI BClIQllbSOB8HHeM 06oeKshy
TOB TIIna llllJlbTa-4IYH1WIII n pa60rax no TOOpeTlllQOO1ltOft ljIIaHKe B
ooOOeHHO ~ooPHR pe4KXHBHorcKHX nGncl C 8ro TOlIIB apelWl opo6lellt8 YCTpallol1ll pacxo)tYlOOcTel
6HJa pecCUOIponn B Hall1Jle 5(x OllOD H H EolOJlll60BIIM II
OCIIBpaClflltOlA9 JlOK838JOIBlI loDI T9opOltR 0 C9pe1OppoBlltaX C ltOJlHoII
MaTSlIDlBlBcmA crporoCTDD HCliopmoaDQe pemaeT 3aIlQqy nOllYleJmJl
JltOlIellWX IIlPU8W1A AIU UTOB TpIt)l paCOIlJllUUl B paMlltBX
TOOjIIDI S03MY111eIlHl Oe3 OOpelllOHllJl KOuTpUeH8gtI PellOnTYjUlWi
ilion TeOplD EolOlJlCloBa - lIapecllKe TIIlI no R - onepalDlll
EoIOJlll60Ba 10 B TeHlle no~JIYIIIIiIX TpeX lloCllllL1lemA IIIWllT-
CJI npeKTabull bull c 1lt01 OCBOsoD Donyilllllllt 0)U03H1llHWt IIOHelfUlX pesY4IofSshy
TOB n nepoHOpwBpyewux KBaHTODOnaxoDux r8opaRX
3 bSaqaCItQB conef8Fme neOOHotJnmOD9K
TpIWllDIoHHUI B3rJlJlA us ~9lAOKOO cOllOJllllllDle TeJBllll8
IlaPOHOpmpomca HenocpeAcTBeHBO CM38H C oro ctIIiIcfOBWM 3Jtaqeshy
RHON 11 BOCXOPT X tJarl1UXWOl IIpeACTSBJIOlilUtM 0 tUlCTMU1lX oaeshy
JlPwoa TaM ILItl HlIHM B3aJ01OAOlcMlraquoeil WIloJDrttOJIlI nepeHOjIGJJOBJGl
ClLlInmam lOJtWe bull OllBfblemiddot 90SQOJOlll 411iSl(1eoJaIX napaare1poraquo t
TBfIXIJ JWK MaCOJi KOHC1EUffW OBll3H II H8KMOPliO APYnIO TaROI
ynJlOIIleHlllll B3rJUtJl 1l0ll0e llpeMll nOJUlOpDOllllCR nlWpo 1(311 Ile
~plJtIlUl101Ol8ll 4ltlPloCYJlllpona onop8lllll nepeHOBamppoBKII OCllonampJOol
Ha onepallD mAlITaHIlR II DIDJlltCHOM upoOfpBHOrBe cmo~CIl B
IWHelHO oqe~e It nepeoupellellOl I1~YI DB_OPOD - IIIIc ell II anshy
PlIlla lQpoHll
)ax BlilIICHDOCh BOOcu6J[OTIIJIK B ooeM cxyue He CJIllBCTUY6
OJQlOSlUICOI0ro COOamperCPBU YUJIl CXOJl(lDll IOOOII napBllMpashy
d BIOJllllUlO B JlarpauKlOJt oepeBOpMllpoBaHHlOla ozte~lOGI Beshy
7
114 poundRHruut I ltMetlIH1(H llenocpe1lOTnelUUlJ tPROlJJBCKB A CMlICJI r C no shy
IdOIIILIJ KOTOpux napsweTJlII3ylJlClIi peSYJUoUY IIUOICJleHBlI It HaGshy
JIIlIl8ewu H8 onUTe xnpnKlepilOTHRlI npolllCCOB HX B98111011elclBI1l
JloIe B 1l1lll00JlOe npoCT1l1o[ C alOJ TOiJll 3pellllJ yqse Il3lIrOBOI
3JIeKtpoJtllliJlMlUlamp pe3YJlhTSTU llUQIOJJoKllll B3IITlle B npoUBOIILHOI
ex nepeHOjlMHpoBlltI (lIaDplMgtP B OXeM p8Mllpuol nOpltlHOpomshy
poB) no nepeaOPMllpoBaHHUX Maceu H 88]l1lJ18 aneKfpoH8 CCgtshy
JlejlUT 98B11ClIIIOCTb OT JlOnOJIHHTeJUHoro 1I8jl8MO~p8 bull lIlleshy
ro pnMepllOOTb MIlcew Ta OOpso HBnplIMOP B Oe8118COOBOA
an8KTpoJIIIH8IIHICe (8 B YJlbTJl84gt1OJUTOBO peJlMe oOwIIIol RaJ
C MIlccol) 8 peynbTT rrpenOjlMlJpoBIIII B03Hl1a1eT P8PHUI neshy
paMeTp HlpaJIIUlA poIh MSaMa6a B BMJJYJILOHOM npoCTpoJtCHe Ushy
pnwep BHaors KOTOPOlCY HCT 11 HCXOQllOII J18rprulU8He ~HOH
CaMOnpoR3BOXLHOro D03HBKHOBeKBn p83MepHoro nSpBMeTpo n~~
H8BIlHIIe P821ejlllol TpIII CMYT8Il11J1
STopo XopollJO HBeCTHJilI H BeO1I8 nOyllJl~eJIhHH O)lgtUlBp clIJshy
988 0 lIOJIeJUd ncell0cIltlUJlpHoro II38IMDJlelO1IlIII ~PllBOHOB 1l1l8Bshy
ruroro tlUU1 8 pcayJlL1aTC nepoR0PMIpoIUtill 1) Hast C8UOnpoRrBOJILHO
B03J1BJt88T tOTaopH08 C8M0elormte ncelUtooKlllISlPuoro nWUl rapaKshy
TjWsywoe OIlOeI 0IlOTOHTOIl CM3H IoIoJl c OJUtO KOH08IITOI
CllIl 0 pe1J1IT8TO rrepeRopompoBlltlI JtpeB_eTCII B TeOJllll) C 1BYshy
WI ldeXaHJI3MWD1 B3WD1)AeAOTBBJI II ltBYMR He3aBlOJuDIMJ( KOHCIAHshy
Tmm CUJ3lt
EOJIee HOBYe O)lgtUlBJlII CBII38H1l C mIJIeJUle onOHWDlOro UlpyDlCshy
llllll COTjJIll R I$Il9KTO lurebull aneCL npoBCXOJUi TllIC1Ie 08shy
HUe c 4IraFl9cml lOqg 3peHKR JmJleHWI KBK uepell8lUl centS3lfl1eeshy
lltX CTenaHei c ooOalIl O ClltMJJjlIIoro nOllJl 1lI0pollODIO~ lIOKTOpshy
1I0~ DjllIOOpeTaDIlelCY COY It T n IN BIIee B BIJIY OUYSlIIIJl
KOrAS B OOUOBe Mexmhl9W1l cnOlltrumo~ HapYlJeHaR JIeu KBaHTOBWO
altWJcMTU III aech llllOonllTlln CHTYOllIUI D cwlUIPTuol MOJl8Jl1l
8
r
alonpo~JIB6oIO B38Jl1)JJolCrJlllJl rne B03HBJlt8e~ B0311lKROCTh
P63JU1lDlOIO BY60PQ xaprurrepzCHK I nottBepr8DlDlXQR He38BBClIMlBI
npeHoJlMllpoDKrult 881160gt100 8kOpellQllJltaIl OIlfYIlIIIII ncgt-_~
DeBT MBOlO B 180PO ClIIIABOro B38lMOJtslclDIH B flO BpeM8 lall[
ROXOlWlll ClI8JI1OlIOXPO~CKlIII Jl8lJl8HIIII811 COllpoT I18ce
JCBaPlU)B B Orutty JCBapK-rJJgtOHBoro B bull lleIClT1Wl bullbull1I6JmJtsshy
T8JlJolllla )l8lIHIlte n8jl8M01jWymCJl qepes XBj)aIlIePlOTIlltII 8JlpoHOB
TSKIIII 001011 B 06111011 ClJtYIII OOOBe~01BBe M8lIlly napaMelshy
paM ICXOrHoro Jmrp8HZlamp8RB 11 KOuelDllDlll B~ I lICDotbajshy
e )WI OlOloaHllH ommlllX )awmx JIIIJIJIOrOJl BeC 0II0J1H1ll1
lUlU 18 KBleCtllBHHOII ypoBile B 8l01 cuyslIIJI aporu napeHOpshy
MRPOBlQl B006~e roBOpst OKa3llB8eTCR lI68JJe1CB81KIDI K8JQ111-J[160
laCllORlD( ODOpalIllJDamp r CBOARmIIMCR K aaWSHomm UOpMllPOBOK MIlca
3S]lIIIIOB It llOIeBWl onepnTOJlHIiX ojlyHIWII ampra CIIQeT BOcnpmllshy
Marl 60J1ee onOOPellCTDOBatUIO I teaK nPOllBltJPJ YCT8lI01)J[(UUUJ OOOTshy
BOTCTBJUi eJIIJy BOXO_ a8TPlIO_ USjlIIII6TpBIII JlarpaHshy
_a I ~lIIeOKllllJ RSBBlIOIIIWIB bullbullCIIOJI]SYruGiIIII JInst nSpeMeTJlIIshy
S8UD peYJllgtT8TOB IIHIIICJleH1lA B H1l6JrlU[sellllX BeJDIIIIIJ
4 Pa3MepKM lpaHCKYl811M I peHOPl4IWJIna
fispwleTp IUUWI fI bull B09~K8IIUlI B npoUllcce ITOpeHOP-
MBPOBIOf C tBCIO MPTOM8ftlleCIQ)I TOIIDI SpeHIUI lie nepBllI B3r1AJl
Ds-BOJDrr It ~onOJJlmrwrHoR oJlHonsJlBIIIHplReoB01 CTottOJiB caoOOshy
JlW a no cJllleeTBY K 803Hl1JQ10BOHBIl nOBOI CBOBOOpssHOI ClIIiIJlIIII
JlEB8IIlel B oeHoBe peHojllllWl38IOl0HHoA rpynnw nOT nOjl8Mop
DpellCT8BJlleT coOoA HOMgtellllelllll Qpe3Blll8bo II8IIlHJI C ~IIcgtshy
Kat OllCl 3POIIWI bull 8Tpl6y npoUllAYlII DepeBopoGpoBJOl B 3QCJIylQIshy
Bae ocoOaro oOcyqOKJU bull
9
IIpexzte Bcero C--leltYeT YCTaHOBHTb ero qJH3HlIe CKlli OMHCJr
HauOOJi08 npoCTO aTO 1KlZH0 onen8TL Ha MaTepHaJIB n epeHOJllDpoBKB
J8paIl8 B tcBaH7OBO~ 3JlBKTpoJlHnaMilJte aTe nepeHOpMHpoBKa B Citshy
~y T~eCTna Yopno ~HOM Onpe~HeTCR nepeHopMXpoBKO~ ~TORshy
noro nponaraTOpB DPHqeM npoJiJSBOJI B 1lli6ope )tOPMllPOBKH noCJIeJtshy
Hem nOJUlOCfLm nepeHOClItCJl Ha era HUBllpH8HTHIlI 4-mmyucRUI
8 PlbJHT e H8 lOoUIYJIbO ~Toaa S38mCJ9itMgyDllero C 3JlBRfPOshy
HOM 4Iinrqecxoo 06cyQ8HB8 RBl60JIBB BlleKBaTHO TIPOBOIJBTCJI 0
IOJlOJIL30BaHlleM peHopriIpyrmoBoro nofUffHJi XHBB_pH8HrHOro (lm81fe
acentoIIoKTlIBROro WI1 6oI)1llom ) 3aPJlJtB TpoHa ~e 4YHlltIl)UI d (Q ) OIlllCT UlleHelDle C HiDlyJILCOM ( a ee JIIIJUIWlIIIKll cliypreshy
06pal1 lt (~) C paccTOaHIeM) ~Ia 3aJlWl BJIeRTpoJUl
CaM qntcr BD3fiKKBon8Hllll TBKDft 3 8lmClIWO Ql1l BIIee DI CTa KBaRtOBYr
rrpapoItY OHa 0lBei8eT ~KTY tl8CTRIQI01 8KpwnrPOBKl sapsmn aJJCJIshy
paM 33 OtleT npoueCCOB DOJ1HPZ3llJlHl B8KYYJW OBOzvmBXCJI K
BHPTYalhHoA ~CCoQlaUlB ~ToHa-npo6HflRn Ha BJIeRTpoH-n03KTpoOHH9
nspu
KaqeCT~eHHO 3BBilOitMQCTb ex OT l Rs o6paK8H8 ceNe ttcT -
BOM KjnnlWX lUi pHC 1 lltaaJlBH K(IIJl8I OOOTBeTOTByeT 1lO3Ml11tOlij
nOBCll8HHD a4JPekHDltoro aapsma no HMOKBfUU YCJfOBHJl COOTneTshy
OBB8 C l3 rCplleMLDI H8 OIlHe sn6tteKilcM 98pattB aJIeKlPORa4 MlAshy
HO alO YCJlOBlle H~ II mme ( O J = 113 Te liDOshy
IUIT OllllO iIlHQJlO HeRO I lITO B 60l1ec o6utQW CJITlse ~BR K3 KPlflUIX
llB pRO I IOgtItlT OIiJL OlllJOH8IHO onpelleJIelUl roqa aa WlOCKOCshy
~H ( IQI bull clt ) Te ]IOOpsHa ny roM aaJl8Hllll tIlyx ttBpaMe POO
f II CI TaIt1JM 06p8SOM lITO ( fo(t) ex l bull C 01 0
TOlKll ap91l1JJ1 nBpIUI8p IIKWIJI t bull B03HEXA~ B npouocce
10
ncpenOJlUHPOBltR eC~lI npoclO fODYmi 4- mmyJIltCD qoTOJW iJcnorushy
3yeMOlO All11 H~MOpe-HBB a8ptUta R eliO OrCrJItSl I iTO BOl1lJ1Ol0Delme
HOllOm ( no CpIlBH8l11D 0 KJIBOOJlcCKIDlt arpaHlDBHoM) IUlpallltlTpa
lJHslJIIecKB CliR3rulO C ilopexonoM K KDaHTOOOJq paccP60rpemm n HO
C ClHlyJIIIJlHll x DpalITepo YJlLTplcjiIOJIeTOllWX lIKJI8JIOll ~ IX nepeHOIgtshy
IltIlPOBtlt8Ml1
TaJltHM oOpaaoM ~OIlOJlHflTeUlildl ttBpaMeTP ( n oOllle CJI)Iqae
KX Jlaquo)IeT 6111amp HecJ(anMto) eon pe3ynLlllT nepcxosa OI CHc1eMl
JUlBCCB-qecKltX 1l000el OIIlCIlBB9)lJ( HCXOmWM JIarpaHZH3JiOM I R 0001-
EeTOT~~Oa KBaHTOB02 3~~e B 06~M ~e XOPOWO H3BeCTHO
1flO tJepexolt Ol Maccn8CYOSi OHOTeMU It KBaHTOOOA He JIlUEFlOlCSl
otUto~nwttHWl O)tHol KJtaoOJ1l8CwA CBC1ewe DOO6lIlc tOBOpR t OTBCshy
ise Hs60p ( IIOgtlaquolT OWU Oec1ltOHelUlI) IltB8HTOBWlt CJOTelol Boop
M~ HII11 paOye BlelleRIIH II ~CIlPOBaHll1l HCKOTOpHX lI0nOJlIDlshy
TeJILHHX MpaMelpoB ~a MlIen eoaxOuH1 It 113BeCTIlllY eUCKtl3ll1lllJ1HJIM
flIunCB Bops I3~ llJIIBC_ K ~pMYJIlpoBj(e npwma lI01l0JllIlrmshy
HOCtH a ~8JrJlD ltpiDpoundDlIIIa JJU[hHOOlB Hx 0YTraquo CO CTOZ1 n TOM CiTO
JWI nOJllloft onellllltmltnlllJll KllaHTOBOI CIIOTe IICOOXO)DlMO 38Jt1~L ee
llampBKpoCKOUHlfeCROe Olltpyampetale tl Ie Y Ra38TL rIBKpoOKOnRtJeCKBe
npHOopu 11 YCJIOBtUI pellllSl JIMrulo 01111 II X8paIlTOjlHaymcq llOshy
nOlIHJlTBJI napaMeTpaNII
OllllWCO pou napruoeTpa mRaJIU He 1I0QepllIiBaTcn Kult
daxo O~MeqeHO BUma OR nPHBO~T K cy~ecTUOBafiHI) peHOpMrpynnH
llM TOm ToOu npoQllItII~b COOTBCTCTBYIII(YIl orallY paccY1IIIeJllI
BeJlH8MC11 H pHc 1 bull ~OnyClKM 0 DU60p ommll 113 RpHDlIX npoll3shy
BelleH YOJIOIJBew d r~~ i ) = at ~ ITO JIYeell ~BJlO C 6031180Coshy
BOI Ollllos9JlfW101 ~jlHl HanpHMBp 6eocoooll MeKTpo)lllll1lMRshy
1lt01 PIgtBlTl1IllIlt 9a~ tgtallO Tcnop Opa~CraBlIb 11 lllIJle ltiYJultIllII
11
(0)
oil -- - -_ -rI _L
1)1 _ _ ~ _ __
_ ~ 1
Y Q
PHe I Ka~eeTBeHHaff BaBleBMOCTb ~K~Oro aa~
OT IIIIII1J1]C8 Q B K3JI 1000Bll8 Clt (r l ~ r ~epI8~ SHOOp o~oa 3 D090QIBHX KpEBHX
(Q )
012 ~ - - -shy -shy
)J1QJlI
lIIe 2 b CIWI XplUl8Jl 0 (Q) -0 dim pxcpo_ 001 IUj)OI ( C( r ) T8Jt 1TOO1i a(N lt1
IloIlllODOCU nepoXQM OT OJDIol napoKBIJlI188ll1111
( 0 I 1 ) It JUlyrol ( 1 ) 06Jl1181~ lol1lleClt1 OCH081 POBOJlllllU8IIllIIDllHOI rpynnw
u
lillY Oeapo3MepWX a pl)jleIiToB Qfl bull 0 T e 381ll1shy
CSTgt B lIIlIe j (~i o(~ ) ilpil TaKO BlJle 381ll1eB CJo1UeT gtleTt
B BIJI3 0 napa ( ( 01 raquo COOTeeTCT Jm60a 01llte
rae a6paRHol KpaDOl PaO~~TpBM Terrep_ onepoUBD nepoxoAa OT
oJljoA rrBPW U8UpllMep (tlt 01 ) K lIPyroD ( i~ oiL )
JI_al Ha Toll a OSMOl KpmlOl - eM pHe 2 lICHO TO ~lIj1II
OllCliB8DItI1I JltpwHYII _aT Olin epa y enexoM n apallOTpil3088IUI
It8K OlCliOl lIB BlIX Tal H JlPYIOst HIwMB CJIOBaMll JJOJlampfIO HweT h
Me CTO paBe HCTBO C( qJ- ~I )(lQlti~ i a ) rlle Ol8mutHO
= ( (I (~ ~ ) bull KoMII1HIPYJI nWllellHIle COOTHOnlellJUl npilshy
XOADI K UTBOIIY ~01l8llbll01O) ypoBllOl1Dl IIJH ~KMOIltOro
aajlQB
[(X olt) = (yen~Z(traquo)
3To ypaBHeoe t M it II ere 06061ll8HBS1 un 60Jtee CJlOKlwe OJIYqae
~SKHT B CCHOB8HKB M8~K8~ecKOro annapB~8 MeTOna ponopuaAasashy
QlOllHol rpyIIIIi npoACTBBIJIJI coOol ~PlYJBPOBl) eDOleTBa lt1YlUltshy
QlOHallOA SBTQMOJlMbHOeH 11lt1 BoIee nonyJUlpBoe ABifgtilepeHQl8Jl1rshy
aoe ypaBHSlU1e DQQWlT 9 HelO npo AII~poHUllpoBlIIIlIe
OrIIe~ lTD DplllO)l8HB8JI gtAeo) noq peCCYIIlIellllft l BUshy
BOA ypBBHaHBJI OWlll anep8llIlBIIH B padOTo Eo1OD16osa bull IIIIpRXgt-
Ba 1I5 uellto BOCXOlUlllO K 1III0HepOllOi po6OTe llTIIlteJlb(lepshy
18 B DepIoIlII8 IIG C AP11OI C~POHII qeeHHaff 1lt8pBHB
JI B OOHOBa BSlIOCHOI po60U Ieu-Mamllhloy 117 DpolOAJIshy
~ K 8lQDtMJleKTIIlOl YpaBBeRllBM beer BeObMi8 ourmoe pSJIlIecltOe
COlleJampWt1IIe KaJc 810 oc06elDlo SlCKO liB 06cyqeHIUI IlPBBeAeHHoro
B IIe B OCHOse MOl JalPfIlHH OUT npe)leTIIIIIOKlle 0 Ha60po
HWl01lBJ1LHJa nJlll6JJBaeBd K JlO bHO IltSaIlTOBOI WleltlpoJXIHIUIIlJttl
llt8ampl1oe bullbull JltOropux 1oI1X8T Owu xaPOJlII90ll8ll0 )lIUIJIYOOII po
13
bull
elttpo R B OKTJlKOCIQDI S8Pf1110 e TIlJOIO pBM3lBl1lOIO
OKlPOHa Upc06pl30B8lllle DtmIlII8lIeHTHOe peHO)lIapyunOBOlIY_shy
HO npellCTaBHTL c060 JltlK nopcXOll OT OJIHOI HMOK8ll1gtllO annpoKshy
ClUi8DHl1 K JUlyro8 TaIaDI 06pa90 D OTJlFIIe OT DJlllrllll3l0IW1Il10ro
DOCTpoelllll pcHO]raquoltlpynna Iou-IlruUUl bull oymiddot eCT lpymta Upc06shy
paO 8IltYTp IIlIOaeCTD8 HeJOJlt8JgtBHX MOJleJlO K31I lUellllo OHa
BeCbMB po(CTBCHHa panopcrpynne BKAbooHa s CrBTlCrlflleoKol
qm31lJ(e rAe COCT8lIJlilJIIIlle nMPPYrmy npe06pa3oBpoundllllllr COOTom D
K8JUlHOBClltOM KpyIIHBKill aJIeWDBIfapHWX IDlltpooJtOI1lIIIeoJOlX 6JloJtOamp
aanpawep dnoKOB OllHHOBUX peweToR
5 rtpHH1lM1J R1UHtyewocTH
Bo3DpaIllastC R np(llJlKlD1aJ1nol CaPOHO onepa1Ulll nepcllojIIGIshy
POBKII KOTOpan 06 C)IJI1laJIBCh llliIIIe 1l KOlIUIgt pa31leJl8 3 3811eHll
1TO B CBeTa npoelleKHHX TaM npmtopoB Calm oD0101BO noponoptJlshy
~CMDC~H MOampe~ 6HTb paccMOTpeao C Honoa TOqxH 3POKaR
06_ JlOIBRY pacO)lJl1lCIDtII M CTa DO JUlDy y r Jlo lllallshy
TOBYI 31lJ18IY BSlIlIIOOllelCTBlIJI OM DlUDIlI ITO aeuePaHOpoOpyeshy
MOCTL 3KBHBanC~Ba HBB03MOODOOTH nOCTpoeRKK ~oBOnonoBOI
IOOJleJI1I C JtWIIIHlI LUlXIlIIJISIok) B381Do1OIlelcIBIlJI noJIel Up llsrJlJUle
o l8JltOI no31lUlU omuLBBDTCSI paBHonpanRHM gtttenll qeTYpex4Jepaashy
OHllOlO B38H1OOIleAcBKR ~pMH H neeDllOBORTopHOro B38BMOJleICTBIR
DlUUill I Do aae IC)a6Ih ttC8BAOCJQI4SlPHOro DlUiBOXOlO lJ381D1OIlelcfshy
BlUI ( a OllHoR JIOHOIBHlOI OWlllII T o He conpoDOQaellWl npJDIHII
DII0H-IIIOllllHlol B381Do1OJlelcTBHe ) a llt8JIlI6poBOUIWI Iok)IlWDo onposhy
CJl811oro D8lDClllOaOTBIR JIOIIIOHOB ( a UeOKOMneHCftpollllHHHllll Wloshy
1IIlDJDoIII) Bee u 1ok)1I8J1lO 08 Iok)ryT 611Th ~O a RORIlX-060
nOCJIeJtOBaTenhltHX IG8JlTOJUlX 180131 IlOIJl K8K COOfBeCBYD1Ol8 dacshy
e90om (VIllI OJIYlWlOCHIOCIQe) uptlJlMll
14
Teueph MOIRO laTh npoOTYI ~PlIYJIlO POBKY nplllUUlt1Ill KMJIshy
-ryOYlCTR 3aMCHHDIlero CBOlcTBO nepeHopcapyeYlClH
- D oopu pcJUUIIllJICTCKlIX nMea CJle)lyeT paCCMSpD8TL
()(aampe no M aCCqOCKO y poBIIC ) lOJIKO T lUte 1AOIlllJlll H axaHllSw
B3 QDK)DeicrBM llOJ1 e bull bull ROOjlHe )to nyCKBm nOCJlelOB8TeJlhJtoe tmaHshy
lonoe pBCOMOlpeUJle I T e f8Jtf(JJT(U( M9CCWQecfGOOI WUlJlOI8MJf
llI(yTpclDle llenpOTlIlIOpcltllllWC OIQHfOBOnWleDIlX IOOlleJle~
6 Pon KDalITODIIX IlJIHHllJIIIOD
06paTllMCH Tenep R POJIll JalIIHTOBllX np(lllllIIJoD D IjJo(lloGlPODashy
IlIltgtI CODPCWloro 06Jllut8 JIII1IHTODOI TeOplIJI nltWI lanOMHIIII BOshy
nCPBla liTO yse B B8tWJe 50-x roADH 6WlO OC03ll8lfO lTD B
oTJlIfllJe OT KBaHTOBOI waXlUcaq I IAO IlJOpquPOUJW uUlsam B38HWOshy
IlelCTIllIJI Ilrumol COBOI)lIJlOCTil qs= llonycROel DDellelUle CooTshy
llO1CTDYUllelO OICJlO npoH3JlOJ111WC ~IKlIIIlI (nOTeIlQIIWlOB) B TOshy
pu KD8ITOllWC nMeil npoa300Jl B JlarjlllHDaHe B381l11OJleI~8KJ ltliKshy
capoBllllHOI CHoTew none orp8HllonmaeTClI netloJrbllllll HMOM ROII shy
CTaHT BSWDIgtJteiClBU KBaHTOBaSl T90PKSl nOJlJI He ItOrrY0Ka8T nposhy
B3BO1gtBHX IjgtyHHI1Jlt qTO JIlWieTCH OJIellCTlUIeli YOJIOBHR nepaHOjlMHshy
pyeMOCTIl
CeJQeT OIII8TIdlb lTO nepOOJ18lMltHO aTO CDOstOlBO npenshy
CTaBlIJlJlOCb CJlu6w MOOW JmQHToao1 TeOpml DWUI OBJ3poundlHHla( C
HecoBe~eHcTao Jlo CrYlfHKl TOrll8 Teope1H IeClQtx MelOItOB D ne~
lyIl oqepelllgt WlTOIl8 Teopo D03lIYIIeHKA ll]lWllt8X RC)TOpol II oposhy
BO)lU80 U800Jl4ltJt8lll11 n epeIlOplolllpy0MgtCTH B nponaonMltWIO~
alOIQ cnyor a 20 JIe-T CBOICTBO n epeHOPKIIPYOMDCH I KBJI01eHliOe
B BHIle Tpe60Mlllll IIOJlIllllllllilllll4 SllollaJDlJl ClllJlWo 0YIIICC1IIOIurym
15
JlOll1gt ) nOC1poeHl1 O7WUlBpTBOI IO)Aegtl 8lIeRrpoaJta611X B9IlKlolleRCTshy
IlHI B B cjJopMnJlOBIIKlt1I nOHlinJi noKOJIelWl qpMIIOHOB B lBOTOIIshy
~ee BpeMH npeJttr8BJtflDTCJI H8C011HotttlHll lJTO ot1llTHHe llatDtWO no
OJsO MeRrpoalllTIIHIoI B CULIIliM BWDIOAelcT1IIIDoI ryT 0111gt
orut08HLl llaquo)JlJf1lectB8H110 c noYOlllU) nopeuopmpycMllX ltB8IftOBOnoueshy
DIIX IIOAenel
CMbullbull IIDJ1Y paIllIOOI KOH07aJlT8MII BSIIIDlgtAeAorBIlII yOtampshy
IUlllJIIllQl)ICII npllIUlJmOIl JlOIIBJILIIOI 1ltaIIlI6poooltltoft CIIlIITlI ( J(](C)
I~llKe II nOJlllol pe Oilll ocjJopOJlJlPOBaR ija91lOKIII
npmllllll B 1954 r llHroll 1 IMJlOOII ROtopHe H8 ero 0080ue BB8JIB
HOBIliI MIl00 cawoAolOrnyDaIIX BeRTOpIllX peiIImDllI07ClQIX UOiIeR
H83JmaellllX Tonepb R8JI1IOPOBOlHllllB nOJllllll BJIJI nOJlllllll Ru18 - IIIIJIshy
)lea 3tlt nOJlB nollODK) OBOBX B1ryTpeHHHX ODOI~B CBSI30lDDJX c
HMIIIleluoonlgt CB060)lllllX ypmlHeHd _eHlll qllfeJlgtllH 0
TOIJO 3peHBII JIX B38K11OAeAOTIJIII C IUlYnDUI nllMllH MilllllJlanHoe
B3I11111OAelofllJle llt8JUlOPOIlOIIIoro nOllJl C UOJIJDUI ~eplDl O)lllOIUIIIIO
no cjJoJlllO bull xBpeneIll3Y0l0II o)llloll KOSOrBlI101 OBRbullbullbull B CJf1UI8
noaOeneBB nltWI Tn ae 08II8Jl KOIIOtWlttB lIXOJIII B ltaJlJlHollml
OHH CBOOO)lllOl YJl8lIIIeHBII nOllJl
K JtOJUlY O-X nlJtOB BWlCiWJOOb ~o Ppound fOUKO aJl8KTPOMarshy
1lIIlHHIl )o TaJalO OIIaOIiQ II CUlgtHliO BaJec~ OopeROshy
CJI K8J[JJOpollOIItIOII BeftOlIJAII nQJlJlloOl BCJI8)CTBHe qero II IIlJlCTB8
B38J111D)1e1OrBy-IIIIJOt Kll8lITOBUX nOJlol Ollpe)16J1J1n1tYl) poftb IUpam
BOOro 1pIl KORCTBKTII OlllllB BRe paYOR 011 CTpollROIl bullbullKOBO
Bol K8pTBHH 007801011 IlOnpoo 0 KBWlTOIlOI TOP rPBBBT81U11l
3ltecamp o1XJ8JtO ncRBlUlWCb 1it CJIlOOtDeIDlO OKP8nu as uocneJtHK8
lOJ1II BIIA_ OBn8lllOl 0 oyn~BpII81 (CtCH)
16
Kax llaoeCTHo CyCIt c_eT MegtIIl 00601 qaC~ c U8JIIIIIJI
B nOJlJ1lemD4lf CIIHK8MB (TOuee - KBaHlOlUIG nOJUl no~eQII
lt10- II gtBJNII-IIpeCftlBOIlOtIIUII COOfBOEBBlIII) UOAOOSO I0Il1 K8lI
rptnmlt lUI11peHHeI OBIIIIB~pIDl I181JlIII8P IlSM0IDII80K0ft OBIIUlUlam
ltPT C JQgtYIOM UCIiWY C OJ[KB8XOllDOl COIBS Jl 6na3lUllO M8QC8MI
O)lllBXD eye n JIBJUIOTClI BlI)lpeRHoB o aPoaA a npe)1CTIUW8T
co6oll ooo6oe p8CIlIIlpelle ClMIeTpHIl COO1BBTCTByuJlel rpynn U--
IUlpe 310 olto6J1leHBe OIIITOe 198 1lt8 7O-x ro)108 npeJ1llOJlllshy
ra paCIDpB 4-oIepeoro DjlOClpBHO 1mult0BCJltoro 10 middotcynapshy
UPOCfpBHOTB8 KOTOpoe H8Jl1lA1 c o6IlIIIIIIIII UPOOTplJllTJBIIID-Ilpeshy
MBHmDCI KOOPJDlH8T8MJI COABJlIllT JlODWlHHTB4bHHO CIIJDIOptW8 8HTIIKOIIIshy
iIlTIPYJJIDe lIeJU1 oo6oil c qpom-llOJllllll 1tOOp1lllHamplW - 1BIt Haa
06paBIDJIjIO 8neOpu IpeCCIIIIH8 ifmleltcOil paaJJBpeHBII cynepcTshy
pHIl DP~ TaI IIIl3IIll6llT ~oe ~IICJ10 IV I8l108 TO IIICJlO CI1lIll0Pshy
HIiX rpacCollBHoJlllX OdPB9)IICBX _ 0 2N bull B Jgt8IIIl cye 1I181l1OIIIIe
UOampJI rpynnJlp)lltCJI no 0PBIIcf8amplle rptnmlt C-C npeoltlpasoJl8l1BI
OOpllBYIl COltnBBTCTBJDIIlB IIJJlIIUOTII coc~bullbullbull 001 pIISJ1lRshy
IDIX CUJlBOB IUIR UeJIJU BIt bull OaJlyIl8J111l[ (aqO - cynepnWJJI)
BoeAcTBl6 8~OPO cCa YOTABAfIBA8T uPOCTHU CBRUB we~
kOHOTaM ll38JIIIO)telcTBIVl HOKOTOpol OOIlylII00Tll 60samp- H gtBpshy
lIII-oOJIoI 06pas-DIIoA cynopnOJI 1k~8110lilUtll CTPYIIT)pu D8POHOPshy
POSOII jlIUIIl CyCw lOO)1e~el 8118 B cepelllJfgt 70-1 lOJIOIl IILIIWIO jlIUl
38MOi8eJlhRIU OOcTORTelhCTB OILaaaJlOCh ITO B l8KIQ MOAIUJa
UCTO OPOIllWlOTCII TOBJellllBll K COKpeu811111l peCltOIDOCTB aw 06I18P1UHIi 1I0)1emJ lBrpBJmIAI B38IDIollelcnaJi TOpIX ltllA1U
npa)1C~8MeHII qOp8B DOJLII OOPBB1JIIIII8 cynojllOJlil IIIIpIIlIIlIITCII C1llshy
Mol OUlOHOII IUllUUltI lIS TOpIX rpe01B lI1I6HBR 080K0Henu KOIlty-
lUI8HOB QIH8xo npB nOJeWDl C1llllll BUllJlOIl lUWHOlO nopllJlKll
110 J OT HOe CllllIfUUAlXampfUp6HDBHll O)UlSwa88TWl IlOCT8TOUBIIl
HeltSoJJtoro uam KOHrPU8HOB He l18pJEWIIIIX 0YIlOPCHMMUT)lUD
17
OcuomISR wacca KQHTJU8UOBpaaeHlDlX lapes lICOOT1ULllRllllBe- cyshy
nelllYTHI1Je~ nOJlJlt ItOMDeH0Ilpy8T APYl APyra lneo~ 0Ita3WJla8TCII
DO~ lIIYDpClBllllgt II]l8BIIJIlI ~1BII8Ba HlmOOpOAO~B8RBO JlIJI
OynBpIOrid Ecn npoBeCTK 0URC8IIHW8 BlUCJ18lW1 no oynepnpanrraM
~_ ~O ltOllllleBOIIY~eCR peOXO1lllraquoDcmI Be B0811l11Q111r 1ClO6ae
loo ~~ _aT SBeOUJ IICOJlIII80K1Jgt 8IaJIOIHD 1I0000e OOSshy
IIIIJWI KOIIIUI ~ 101108 KOB8PIf4IIHOI eopllll BO~ B ItOshy
Cpol HUll bull 8B1III401lllll B BIIpTyamIIIU OOOOIIIWIX OJIJII 061ampshy
JDlHeBil B a_a upooar8OjlII mTUlt806epra - ~1JDmBa OIIoUUOOL
qO CMmen pampCI()lIIJIOCft Co60T1eHHol Bepro 3Jl8JtfpClll4 bull KaJ
nOHIBBA8CL C ~1B01 110 40rap~8cxol
lIaadoJIe M C 4gto01lleOlltol 10 Bp8Bll11 lDWDllCII up8p11
nomoA 1UlIIlJ1ilI08IDIII paogto~1 B 881t010pili CnellDlIMX IIlQJlUIIX
Pen IIJlOT 0 IlD 1oIOIl1WIX pacup8aaol (II gtI) C)Clt 00Il~shyIIIIIX oaO IltampIUI6pClBOIHIl1 n()lll B ItOIOpili BLIIIJIIiI n shy
IIluco B nep8BopllllpClBll1 1lQII0T8BIII 0l1li8amp bull TOlBOCTII kOIIIJelloPJ-
Dr _ OIIIIJIOpiIIIX DoJeI IIIlTIIJIIII Dpil STOW 0ItM 8 tCS ITO
np nDCIBAOMTOOI flBTe CyCa 118 n~ n ex Clampshy
ad T e npJI 1I0001ln10l6JDlI OJUBpiIp8BILl hlJDmBa bull l0lppaA8Ogtshy
ue p8OX~fi npClllUampOpoB bull BOpGHgtltIX ltI1HIltIUlI IlOTOpliB DPII
n OJtQIiIII0H8STJIKI BiAlCteDU OaamplIWBaIJIrml BI8WHO CHONIIBHCHPODEUUWM1t
raquo n epe80JlDPOJ1K8 ~ I ll6 BOIIlDADT 1IOa08
l8uII 06pa_ UCIIfIOBil cepJ88B110 JPI8IIU U DO_OOTlo
C1lOHOMIDIlI IIIc1o1w101O CD CUllUT8IlIIIa 1IOJteu1 IOIltIIIJshy
Hoi DBlItOBOI TeOPU DOampIl bull ~puaI npCl~CT~ cmo-
6oDIa Ot JnTp84aOTOBDl paoxo~l
lJoIOORIlte ~ IoIOrrr JDlIlUCII TeopeT1A801lO1 00801101 T6amp01O
-ug- OOteunVWB ~IM Quel - OJD8~elDUl
up IlOTOpCM B o6IaOfi OOll1OlBO 00amp1[[ lIJIoprd 0GEWltB0IJII8JI
derJIIILIIa sIIIIUDIIU IIOBOTRBTa 0111811 1i n epaollu 6uau 18
T e MeRRT hCg c A8AhUe~ POCTOM 3HeprHH H ORa3WDaBTCH paeshy
HOi3 HeMoOpoA KOHcrrurre d I K01oprut ClOOtlet(ttByel umshy
cNUIte Ctlll9l OrosmteA B AarpaHIJUme B UpaltT1J1l0CKHX RH3JltoaRe~
lO-TJIt[e cJQtX mABOJIOJOUlX J llB4BHMe poundmCCH DOJlHolO 06~eJtK]teHlUl
lllltOIyoae1 B lCjljleKTHBHOro HMDyJILCB 06peaIHI C OqlUl 3pcshy
mt1J TSQOC BllnICJIellHR 13KJ1QD JOtsrpawc co cacpxTJmelllaQl BlPlYMb-
1lJ1MH qOCTHUStm IwpmeHCHpYlJmMH paCXODlIMOCFU JIelfCHX JDJorpor_
MOSHO paCCMaTPlIBaTL IWR cDOco6pa3UYU luntepuarri3~lJrJl mrXOB
fiaYJIH - BKuapoa 11 bull
YAh1JXMIH0JI9TOBWB paCXOlDlJrNgtCTiJ lUjClYIl81JT UP 8lorrd trotlt
napOJRTHUO 34cento It1U I c ootseTCTDyxqae HU 41nute ltMfI a KCKYCCTshy
BemtO D03JWKlmte BCJI9Qc rBB9 aecoBepmeRCTBa TpamlUROHHOro MSTOshy
Ila BCOJOAOllnllllJl pIIsIleJUlDl(ero eJlllwij oynepollMWltpoDlJtli JlarpeHshy
Daamiddot aa HeCHMUeTPlfIlllLB clJsraeMJie KOTOpLl9 He nep80M 3Tane u-cshy
eJlOIlllllHll paCCPHllnIIICR OTIlOJlJolIO AP11 OT JlP11A
YnoltodJUl MlIp aaeMelitBptll(X B3WMOlteilCTmrst LUlCTlUt lS 3JD1UJOU
Base C Wl8BlllOOl ~poltruIH lUIII O 8TYO 6onzmu p8POD II lIIw-Ka- CM9tOBaTWUI - rmrMeD KOrOpWl OfKWlHB8eT 0 1 BB3l KyCOlBK
H YHocn B Jla60JlllTOJllW lIIJl aHaJlBQ lnpe HOKOopoe llpeMfl OR
maal Doe od OroH1OM IIIYOKe R flHielO 0 cOOYJe 11 LtBJ[OM npl(
arrOM 01tJU1Iro KPOMO TpartJflUWlona Jlt160plTOpiUlX CpcoOTll It 060shy
PYAOBBHHR MY nOTpeOOBaAHOb TaKEe Bon sara B 6HHH lIIJl Jleqeshy
HRJI nope30B JUi py lQU 01 OCfPUX KpnCD OCKOJIKQB na3u PacxOMshy
MOCTH I KOUrpueHli peryJUlPH38llID1- B03111lU10 TaJCKe K8 uymw
Jt1Ul noHlIlampUDlll KaprHHW B3antOACIClDHII n llCJlOM t KaK He ftYnu MOshy
DK1lt8MBH1U DJlH BOOJleltoB8JUll1 ueJIolt B83b1
fioCJIBl(OllDlOJlblU1R ytt01 TpaX KDturrOHllX CHfIo1ft-TjllI1l COQfBOIshy
C1BYIllUdl IllC XPOHOJIOIVIeCkOlo) nOJlllJlKY HCnQJh30BllBIDl lIlt)JteT OllTh
npenC1~eH B BIlJlO IlODOJlbllO crpollHoro PfIIln
19
1 IIepexoA OJ lltBIIHoBOI IIOXaKJtICJl R DepeRO~pyelOJR _shy
TOBOR TeOpm DOJIJI ( yln npllJUWUl 1Dl) njllIBQJl K tOtq 110 BBllSH
lIYHlWBORM1gtlI01O npo9BO110 X8pa~DJlIYlO noeJl1DtWIIJlol ijJyrutshy
JSol t WY nanylpoundllm JIJIm 1l000P OpB3BOJ1bHHX DOClOJUIllla - ltOHCfSHr
CM3R
2 yqe D]lIIlUUI8 IKC 0 meJIellBo Ilt8lIlWPOIlOIIUO OMO
D]IIIDOJlIIT P yctBHollJlellllJl eMol ( B npoCTellma CIIJlwtl paBONeB)
~ ROHCTaDT 838JOOJAelcTBItII ASHHOlO 1WllI6pollOIIUl1O nltlJlJi
deg n pD
J Ieno_o nplIHlUIIIB eyea BBOJIa 8IIome OnplUl8JI8ll1Di
1l860pu ooeTOlIIIIe gaR lI3 60 aK 3 4eplOl-DOJlel (eynepshy
tqJUTlWlelll) SIIIDIDAea01BllJI lltOOplll[ ODBeWlSllCJI ollllllODellKol
IltOHOURO eM bullbull bull
liaKoaOD OpeACT8IWIOlCJI BeeWOi eMlJAlWOl neponelmlllS
eI1O aTona
4 liaJIOlIlHle pe60B8IIIB eBDplIllepoHoplOlP1elOJ01II ( nPKHIUIll
CIDl DOHIIIIIIOa 10 YeJlOBBO oayTeTllllll YJIgtTJl84DI~OT08HX paoshy
lroJ1)llllce B 1I01I8lIJD( oollo)ll8UX paClrOAJDS)01II no 4oJlMlJlHIN
n~3HaKaM C~eTQ cTonoHol D~e H ax npoKaBO~ D ~Qrp8HKRQ-
He) DJlI 3aA111HO 9118qemm emma Yl8CtBYUIIIIX lSOTBl1 4aultCllpye
CYDepc_pIIIllYD 1OO1leu nMIlI8I OTO erwl p8BItII)I JtIIY)I DMYshy
SO lIane AOOTII OJtlIOIlH8lHOlO ollJlC8llllS po B31l111OJAelCTBlll 1tB8lIshy
bull 0BlIX 000 B o611B011l )lOCT8tOIII0 BWoo Keprlll
Tew C8IIIDI B09111Oamp8O ns HllIIIIX rJJ83U H8qm8H OcyJleCTlllUftshy
C8 M81fT9 alHll1elJta naee laquolew n0JIYB8KOBOI JUlBHOCft bull bullbull bull MY
XOTD He TOJIlgtIltO HOn 18K y01poell8 OpllPOAB ( II npcllCXOJlllt
trpIlpoJDtHB JmeHU) r 80 bull 00 803MIlampHOOH llOOTW1b ~ llaquo)Se1 6Y1ltl
YlODBlecbullbull ApaROI 18 II1I)I - YBHBU noqetq Il)aPOAB lIIWI8CJI
ftMOHRO lalltOl a He lJJYtol2I bull
20
KaJt YSI OTMIlQaOClgt IICO qeH njllUDlKIlll - 1IlI IIKC eye cmr - no coool DptfponG RBImrOa HltaHMmuat TaR KBY JllR HX
ltIxgt ptqUPOBKl HOo6xo_ lltoro KIJ8HIOBIlt nOHllTlIR
DOIDmIe ltfJa3H 8OJOIoooI ltfJYHKUIII R He33BHellMOeTH OT Hee H86shy
AI11taOMWC BeAMRIi
nOHJIIRO 0 paSJIiltOlllX KB8ltlOBUX ClOTilcmuwx B 0 (1030- H
~JlIIll-l1l4IlX
OOlurroe deg nponcxotlllellltll bull CTPYKTYpc YJJJgtpaqmMOlOBWlt pocshy
XOJDlllaquo)CTeA B IQlaJITOIlOA TCOpllll UOIUI bull 0 II]lIlllllAYpe nepellopltl1polgtshy
til bull
Kwt Mll y6~ltWDCL nOCJI9JlOMlCJI1dIOe lUl[J0JI30BQUlle 3TUI
KBaliTOBW DpIIJillHUOB BBObullbullbull MOOIIYll Jtere_CTHcelYll O1pyn B
up KBWl1OBUX SlMeHB KOlOpwt II OCHOBe cnoel nO)tlHUen CTBTJlCTHshy
qeOKlDt 38SOHOlampePUOCTfDII
JlnepaTYpa
1 IilJlPKOlI I(l SW 1983 H 1063-1072
2 JljpaJ [[AM UpJllUDlJlW ItBlUrroBOI MBXIUlHIOI Iayxa II bullbull I~9
c 4(13 1Jy1I tdl3JIItJI JueprooT0I0III9JIIT M 19I13 0 4G
J tSooft G Phyenalao R~port s 1Q84 1]1 1~_I)~
4 Nnmbu y Ph61 cft Ne~ort8 1994 l2 2)7- 8
5 Gultat50n T Arkl v ( Watb 4strJys 1)46 )A 2 t
Spbullbull B R JllalhlIl7obullbull1968 l bull 1404
6 tJtloort Q VeltallUl)l Nuol Fhyens t 1972 i1 J131
7 CoOoJlo C n ila7c c60plllUt 1936 T ~ c 39
6 Sailwllrll L Tb1 rr Itl8 ltt1Itrlbutlo41IAlnDd Poria 1950
9 SoIWlllOOD lUI nape OC 1957 Ao a _h lZ 227
21
10 Bor0JID60B HB R IIJIpKOB nB BBeJ(eHHe Jl TeoPIJll KBIIJlTOBaHBHX
nonea U3Q3-sBayxa M IIrn6 ~ 113ll4-et Hayxa N 1$4
sectsect 2930 11 Coleman So Weinberg I Phybullbull Royo D 1973 ~ 1888-191 0
12 fiIlp Il Il H Jij) lB 1982 T 35 c 1221
13 Bop U Pbybullbull Rbullbullbull 1935 ~ p 696-702 DopeBOll COl ihlJoo Bop 1l00)lOJlHlie Tp)tll T2 HayRa M bull bull 197I oIB(-I91 Bop U lIa6paH1Dle Tp)tll ~ 2 11ayKa 101 19710526-532
14 Shirkov D V In onlineAl and Turbul ent ProaOS888 in Pb1 shySampgd R Z HampMrood AcadPubl II Y81 cmiddot vol bull bull eI bull
1964 p 16)71 IlAII CCCP 1982 263 c 64-67
15 Bor0JID6oB HR bull mwpKOJl nB bull IlAH OCCP 1955 ~ 103 o al3-al6
16 Biuok~bra EC Peterann A HelyPhTbullbull Aot 1953 y~ p 49~520
17 Gell-aampDn a Lo_ 7 PbJbullbull lev 1954 v~ p 1)00-1)
lS W1180n X aev MOdb7ao 19BJ 22 p 58)-599
19 r OJlloltlgtUUt IlA Ilnu Bn n0l0IIIIl B J)iqI 19I 13 452
20 Parkbullbull A and wbullbull t P bya Let t 1984 v ~ p 99-104
21 31bmTeIJ 1 0 cOIIIUeHHOM OOCTOIIBIIl ~eoP nam - COOp HBrUI TPJIlOB T~ HayJca Yo 1966 c245
PyxOUlC OOCl)1IIWI B H bull lM9JIlocKHll OTlleJI
9 OKI86p~ 1985 rollB
22
bull
W~DK08 aB P2-85-729 KBaHTOB~e np~H~~n~ 80 B3a~MOaeHCT8~~X none~
B80A~TC~ nOH~THe KsaHT080iO np~HUHna KaK npHH~Hna npH OOpM ynHpO BKe KOshy
Topo r o c~ecT8eHHO Hc nOnb3y~Tc~ KBaHTOB~e npeACTaaneHHA H cneUH~H~eCKHe KBaHTOB~e nO~THR Pacc~aTPH8aeTCA ponb Tpex TaKHX n pHHUHnOB
npHHUHna nepeHopHHpyeHocT H HH a4e - KsaHTyeMOC t H - npHHUHna noKanbHoM KanH6poe04HOH cHHHeTpHH - nplo HlI lo1 nA cynepcH_eTp IoH1
B pa3SK TH H K8aHTOBOH TeopHH no~ B CBA3K C nepeWM 1013 3THX npHHUHnoe aHan]H py~ l CR eop-nbHaR CTopoMa CH 3H4eCKOC COAep~HHe npo ue AYPW ncpcHopHHpo eOK 8 KTn ee C8A3 b ~ HanH~HpoundM ynbTpacentHonCTOBWX p aC XOAHHOCTeM H pe HOPMr pynnoH n p HH UH n nepeHOOHHpyeMOcTH OOPMynHPyeMWM KaK rpe60aHHe c~eCTBoeaHHA BHyT shypeHH e HenpoTH Bope wHaOM Ka~TOBO~ epc~~ A~HHO~ ~~eJ~ B3aHHoAe~cTHM non~
oKa3BaeTC~ 3KBHBaneM THhUoI YCI108HO KII3 HTyCHOC TW nH K IIHrOBOC T~I nCUC83aHO ~TO noc~AOaTenbMoe B HCTo~~eCKOH nnaMe kcnonb 308aH~e Tpex KBaHToswx np~I ILllolnOA Dce 60nee orpilM~4H9aeT B03 MOlliHbH AHlfUMo14 eC tue Mex3HH3MbI 83aHMO shyAe~cT8H~ KBaHTOB~X noneK
P~60Ta awnonHeHa B fla60paToDHH Teope TH4e~KOM ~H3HKH OHRH
(JpenpttMT OI5be[lMHVDloro ICC1MTYTa JIIAepx MCcaeao A ilYe 198)
bullnepeaoA a lTopa
Shi rkoy DV P2 -85-729 Quan t um Pri nciples in Field In t e r actions
The concep t of quant um pri nc iple is introduced as a pri nc iple the forshymu lat ion of which is ba sed o n specific qun lu~ Ideas and notions ~e consi shyder t hrae of such princip l ~s
- the princ ip le o f quant izab i lity - t he principl e of local gauge s~etry
- the princ ip le of supersymrnrlry and their role in devel o ptlen t of the quantuo fie l d theory (QFT) Concern ilW the Fi r st o f them we ana lyze forma l aspect s and phy~lca l contents of the rcshyno~ll z4t ion procedure in QFT its relation to ultraviolet dlYergences dnd the renona-grou p The renonmallzabl li ty property formul ated as an eX i stenCe coRd i l ion of self-consistent quantum ve rsi on Wllh a ]iveh mechanl5lll of the f ield interactIon turns OIt to be equivalent to quantizab i lityl t i s ~ howo t holt the consecutlye from a hls torl c~d porflt of v i ew uie of these qtJantuln prlncip l e~ pull ~ tl l l IQrger II~ i t~t i on5 on pOs~ibla fonms of field lnt~shyract lon~
Tht illvnSlif)alion tws ~en performed a t the Labor4llory o f Theoreti cal Phy 5Ir~ JIHA
Prlrdnl or 1-1141 J oi nt Inetitute fo r trucler b rch flubna 1985
I KBaITOBU8 DpIllln
TeopIJI aJleMJmT8pma BSllIIWlllelcTBHII JdltKPOl8CTHU 1 e KBaHshy
TODIlJ TeopIJI nOJlSl (KllI) B TOlolUle DOCJJeJlH)X lIBYX lleCllTlIJleTH~
HClIHTllB8aT Dce 0011bullbull npllO npoJtJWiDJlecfI MKRHHO PM8 nplUshy
IllIDOD B TOM DIM IlJllIl1UIIIOIl CKMMllTpllH o co6oro Tlffia liP ltPoPIYshy
I I JlHpoBKa RO1OplX CYilOCTUCIUIO II 0DOIlOYI7Tegti KBaHTOBlle DOWlTRf
H DpeIlCTBBneHampR
XPOIIOJlOIlleCKI n opalD 101110 0 0 031UUUIllgtl IlJllHJlIIIION Tallora
polla JIllIIJICJI npHlllJlD nOKallbIlOA KWlKOPOIlOUlOA (1I1 01JlIII (npIUlUllII
Jll(C) middot B ero OCHooe JlomIT IJIOJI 0 IIOIIUMIIVIt MOCTH ltPoO U DOJIeDOlI
WYHKmrn iliH3HqeOKOe cOllepruI~ MOlt TOOIIO CWI08HO C KB8Hshy
TOBHM xapaKTepoM aTOll oWHKUIlH IIllJUlD~ ft ulI oll ul~ITOpJUIM 0606l11eKlleM
peIlJITlm llcTcIIo ll BOJIHoBoll oWllKUllH IDpclllluopu ltItjlHlUl TIlJltIt1 06shy
pa30M ~3He cJlta1l HliTepnpeT81ll111 nOKWIJlIOft IUUll~ PO I II)1I10ft C1IOTshy
JlIII MOlleT 6 1amp lIllHa JIIIIIJh KBOIITOOOMY IlOJIllo n o lolY Ill HOIIOJlhshy
J ODaIIHJJ 1ltB8HTOBOro co06paaeHJIII 0 IIOIIUI1ilIltlIllMOO 11 111 rlll((lSl
CIDAlCTpwI idQaeT 6l1Tb lIoollellll JIJIIIII ltPoJlMlULIIO
BTOJliU ilpollO ICU()JI]03YOlll1M CeR8c D ORrYOJI blllX MIIIIIITCl llOshy
n011BBUX nOCJIeJtoB8HWlX UUllmoN KOTOpUa nOJnt KOM OI nlpn l1r Olf
JUt KBaHTOBHe npellCT8nneHlUl I[BJlHOlOIt npuuum 0YII Oil( HMMr I1lu1
CynejlC1lMMeTpHII YCl8H8BJIItIlaeT eMSI M8WIY 1WW11OllllMlt nIiUI 1I1I1I
IJUlJIOllHMll ltJ[ Jl83Jl1I11WM KB8HTOBHM CTaTH C11 bull ITpo())pi 10UWuu
CYIIOPCmoccTpmt II nepenyTKBllIn 6oae- JJ ~JNH-rIOJUI DCJlOn GTHIIO
qero cynopClIeljlIUl ReJD3il PlYJlsPOBaTb npoCII1M H OCTTIIIIIIUU
IIYTell ~ KlIeCCIIIeCKIIX nOJloR
TJIITbIIM npHilUllDoM TBKOro polin cnell)leT Ha31i1lTL IIpn1l1U1i1 1
1I0JlMl1PyeMllCTII C80lIolBO nepeHoJlMl1PYOMOCTI CIjlo[MYJII I Ullh
2
B KOHne 4O-x rQ)tOB nepnoHatWllaHo npeJtCTaBJlJtIIOCh ltBllt orpampHJReshy
lllIe H8 Sooop MEalllDl3MB ualUUlOneRCTBIDl noJlel r B03MOmlO cllSI3rurnoe
c lleOOBepmO~OTDOM AOCTynllHX MeTOAOraquo KB8HTOsonaA9BKX paC~9TOB
)r8 TOWl apeHlU nocTonelil1O nOllllpIJlac cytllecTBellllOA IpalloltPo~
Mllllllll II B COBpeMlllUlOft 06nonJllRflTOi ltPoPIIYlIBpoue cnoDCIBO nepello~
MIlpyeMOCTH OCTh cooRO1tiO M8CCPIlecJtOA lIIJtleJl1l BSamIDJIeAcIllM noshy
Jlell bull ltPoMAllPYOMOe K8J YCllOBHO BO_OCTl nOCTpoOl1IJI ero OOCshy
Jl8lJOBBTeJlLnoS KBaRTOool Bepcmil YoKHO CK83STL f ttTO rrepcJloprmshy
flYBlII)Cn 9KBlB8J1eHma KB8HTYeMOCTM
06paTMlI BIDMWlHe He TO liTO fUlK ynoorpe6nRell8H DplI UTOM
~elWllIOJIOIIIf T3K H cnOJlb3yeMllll lJl~orll1t COIlpS9YlOIl9llT napshy
lUDIOCT M8CClJteCmlO paCCMOTpemtfl iI BTOplN1l0CTL KBaHTOnoIO
ECJIII ae 00 rJlllBy yrna nOCT8BHTb IltB8RT0800 nOllo K8R eltJlllHll YlDlshy
JlC81LJrul liH3l11ec a OOOKT bull 1IIIIJl1II noIUl It l8Cl11U1lt 11J18CCHshy
001lt04 4013II1ltII 8 oepeXOlRlllllft B IOIX B HWPleamp8IIIIX OpelleJIbHJa oxyshy
lt8JIX TO nepeRopyeCTpound - Kll8f(lyeMOcn - lIJlII06poTO lIJIYIo~
cMllCI Eo IOIOampHO TJlIllltIOll8Th JltaR YCJloDlle oy~OCTBOI)8IIIII BIJYTpeHHe
HonpoTIIBOpampWI01 3W11ll B38llMOileliOTlIBlI KBBlIIOBYX DOJIcR 06n8shy
ABfIIIel KlI800lC IU18AOlON 981U1R110ro _ lllieimo 181lt08 ClGICJJ
l1li ~ 6YIleM BIltlI8IIMBIlTlgt nlUle B njIKlUIIIII oepeUOpllllpyoMOCTIf
B CJlOJt)lJll pe91llllle NY paCCMOTplDI 4iI311lecKOe COlle~e It
WltlllilTllIeom JMleHlle npol1EIl)Ipw nepeHoJlMl1poBOlt B KBIIHroBOI
TOOJ)llll DOlIJI ITO 1801 HAIl Ho06xo)Ullllltl WU80I1IIT JIIIII llMbHeilloro
06cJ1IjeltlUl ee CWIlU c peHOpNIpynnol II lI8JiIIIlle YJlbTjl8fIIIOlIeTOshy
BIIX peOXOJ[JllOCTei B B IltOHelllOM CleTe JIIIII ltPoPMYurPOIUQI npmmllshy
na nepeHOpllllpyeOTB )ro nOIBelleT HOC K OCHOBlIOI(I CaaeTY
I11III010 aOC)llflJOBBlDlil - YCIOHOMelamplgt poJtH JltB8llTOBYX njlllHlDDloB B
IjiOpIIlIPOBWIJIJI 06Ulta coopeowlOlol TOOjlllll OBIIX oOJIel
1N UJ i1-~JlM - ~ 1 -1 11- _ - lJ~ ~ ~- t
r
2 [looneAYOO neOOHO[NllOOOOK
llpowmpo npeHoJlGljlOSlI npoDOllllWI U)lOlt)cce pemolll1Jl
IltIIlJIT01lWC YplJlHaIlllA U B I1fJJIOtc ItpellOTaJlJlReCIl D Bllle oc06oro
opeJDIIICIllDJR 4JoIWYJI1PYlO 110nOJlltllrMJiliO Jlt oeHOllIlOMY 8KeIlY
lIBlIJ[el 310 06CTOll1IlJLCTBO a TIlltIII) HeBOSMOIllOCTL poelo~
4utJlA8Cltott lIHrepnpcTBUBlt COOTHOl1eJIl nepenoIraquoG1PDulU BCJlDllOTBHe
KX ClIltryJllijlllOro xapalttepe awWI8IlT OIlYIIlOHJe CT~ntqCKOft 8
MIIOrl18 bull OplllllllllllllWoHOI HCYIIOJlJle1llOpellllOCrH2I
B nOCII=e roIU 06l11tl1 KIIepee K uepelfojllUljlOSKWI 3H8111shy
TeJIJolIO B03JlOC to aT bull no HpaJneA Mepa lIB nJllllll1ll C 011shy
HoB CIOPOlW DPOWIOpe nepeaojlMJlpoBOK RlIJLI8Cb JlOlllqecKOft
XOTJl H ItOnOJl1dlo CJlOZHol oe8000l Im8HIOOOUOJleBol p8HOPMI1JYIDDl
Jl8BWeA JfOIJtIIIIlI TOII III1W1l13a YJlLTpaiflltotaTollOro OOllel1ellllJl D Hlll
H C ae3HDltIITeJIlolll4olll JIl$IICalllUJOJ oKBWllleOJ 3ijrjJeDIIol 8
PHJIe Olt1JacTell ltampI91K11 eCL ltWIelQlX OT IIIIlqIOl8CTIIU 8 1lX DIII)O)shy
lteSoTBBl
B TO 1lt0 BjKIMR nOllJlTlt nepOHOjllllPYOloOcm B callO RllIlJlTOBol
eoPKH Donn DpHodpeTse Bee OnIbmee 3H8qeKHe KPBTep~ napeHOpshy
MlIpyelolOCTII CMIpeJ BIUIItyIgt 3SPMCT1Il801l1l poJIb npH KllaplOBOM
pIQ1111pelllll CT8Ul8j)11101 IIOJtGJD aJlCKTjlOOJIlld B91l1101ldcTBBI 8
B ltIXlJllmPOBaBllll lJOBSmIa nOKOJlOJIld ~01l01l B 1I0Bebu lICotoshy
IIOBlllUlJlX 110 loIOIIeJlJtIoI cYDepo0100JllDi91iW1 1I4e_ 06lYJ) CTpalell shy
qecJQD IUUIL nOCTpoeHJIJJ KB8HIoBOnoneBOI cxe oampbeJUn~el Bce
~orHpe ll3BIDIOIIeICTUIl nlltllllqAH rpalllllllJl3)J He OCUOBe cynepshy
ClIWOelPIIil ( TOmee cyneprpWIU01UlJt) 7peOOBalllle uopeHOIJdPYeshy
Onl IIlpoeT IIllllpa1IYII poJIb )a1tO He wtylalblo ITO OOJepshy
IWIRe llOHIlrHll nepeHOPMKpyealaquoJOTI HHOBh a BliOBt rJPJlBIlOltaeT llHHshy
MaJIiIe n eJlYlllX ~9I1KOB-TeopoTllXoB (Clot nnp upl34)
OPOJlllJlY1l8 YCTpoHOIIIUI yTjlI$OJIelOB pecxollllMOCTel Texshy
lIlIleCKli peCIJllIIlleTOR H8 l1B8 Tanll BCIJOJlaquo)IQTWIlgtIYII jXlIYIIRJllIshy
38U11J) II mAJlTaBlIe ClIHIYJUtplUlX BJCll8JtOB Te C06ClIJeHBO TIepeshy
HO~BIC)I 1l8lldOJlee eCTeCrBeHRol USCIo poryJIRpl3BUU1 061 shy
88H11eY B lIMJtyJl~CHOW nplOTp6HOTae Jler KO 8cco~ellUl c Hershy
JIJlIIIIOmiddot oaeplllllleJl paallllSKli ToqeIIHX 8CTIlU 11 UPOCTp8IICTIlashy
npoHII npll 3TOM n0JtP93YtceBaJIOCb 0 JlOlWJ[bltylgt IIllBHrOBYJl Tashy
OJlHll DOJIJi MOmIO IJpelCIBIWIIh ICAK IItWIeamp8lllBlI npelleJl1oHHA OJIYshy
181 UeaOJlt8AhHOft EoJIee JIelanHoe KccqeuOBmtlle nOK8~UDaeT I TlO
a~ KOIlItIIIIlIiII nOClleJtODSTeJIloIlO npoeOTH He Yl18eOK Bo91l11C8111
TPYlIHOCB C OOXp9119I1l1e CHMMOTPHI IJPKCYMBX ~O~LHOa KBnHTODOA
TeOPllil nOJlJI TBlO(l(lt8K ClUotlleTP OTHOCHTeJIhIIO Dpe06pasOIl8HJlI
(]y8HE8PO KWIlldpoBOIIIIIX npeoOpaaOll8llKI fl T D 3ro pa30Qapo1l1lB8shy
DlIBlI ~XI du OC03110l 1l0BOJlIgtIIO 11911110 - II KOIllD 4O-x roltOD
B0JI81tCTBHe oe1O K peryllltp3UIlI CT8JJI 01I0CRloCR ICAR K 4Jopromoloshy
HOMY TeXlIlIqeCKOgtry DJlIlewy lie lIliT9JlOIo 1II0IIIIT1o B Bee KBJallhllltOO
ltampIanee 8CCOIlll8Q11A HeKe1opoe BpeM raquoecloIIS nonyVIpaol B
JltlIOlrlOBOR lIJIenJXlltllllBgtCHKC (K3Jl) OWlO peryJIRJlII38lIBR llayJUI -
IIIIJIJtspcs 4JopllllllloHO OIlllJl8DllllOJ H8 IIOIJOJUDI DOOOWOl8TMIoshy
)We UOJl1I C KBaHT8iDI Ollew 6onmo1 HO ItOH8D101 MBCCll t odJIaaashy
lII0I K ~0Iq iIllItE$tllllO~ JlIlICO B ~x 6(x lO)lIX 10shy
KIIe noIJl HIlKWltiIX IjBslIecKIX 8CCOQIIBuaI lie llHS1IJlWOI H BOcnpHBIIshy
trmJ(BOL DlCTO 4Joplll8J1hHo Tuoe e O1H0Dl8HXe BWSYBWlB Tax HSS
BIIMlIT1ItacIaR poryJlJijllt3S11illl 5 0 TB npe)llloaelUlWi B naqMo
7(x 1OIIOB pa311llptlWl peryJlRJlIIBIUIII 6 T peryllBjllt3SIliUl B8-
IIllHeI[IlC~ tIlCJIa H3pelllll njlOcTpeIIOnelDlo-BpelllllDloro MlIoro06pashy
3l11li BIl He[lellOe tQlMO D - lj - E bull OTJDIIUlIIQe80S1 01 4 H8 6ec shy
OHelliO IIWIYJl B8IlIllI1Y
4
5
lOMO RlIIIOIO BCJJelUtJl perylUlpOlUlliWX ltjgteIluwOBOKlX
ntflerpanOB HBoTynatJl Olepel1b IDNII88lB ClDUyJJJlPHoClefl B BtNshy
TIUUll( BypueHAAX OOOTBeTBY1JIUft 08pBMeTp perYJlljllI3SIllII ( shy
nyuc o6peElKlIJl Ilt8cca layJl1l - Bwaplla A 1IlIB 6eC1ltOH8lHO
lJwA napn140Tp pnueploe poryJUtjlll31lIU11 f_~ 4- 1) YCTpeW-
JUlBTCSI K CBoe~ cfH3UQecKOUY 9RaleRBJ) ( 1 ~ OJ) pound 7 0 )
BomlUtaWlZe clfitllYJl1Jpmie B OTOU npeJeJle cnaraeMliC nponopIJKOshy
we CTeneflml bull ~orapli4JllaM I IIIlI CTeneRlllol BeJUDlHll C 1
BW7eJlImTCA ~ 3BTeJ( BlIlQJavCJ11 T e oldpaCiltaJlTCSJ 3Ta no 0shy
JleliJ1RR R1llfOonee cytIteCTDeUHaR onepa~ r4gtamp8T 61lTlgt ~pMa1Ik9oshy
lUlHB pa3JUlUIWMif nyTmm
06ll10 RonOJlb3ym onepallfO BBClleJmJl B acxo)lll1l lBlJl8HlIIIshy
BH T8K U83 IWllTPllJI6HOB T 9 llOnOJrnHTeJlDliIlX CJI8l8earuJ( I C CKJ(shy
rYJlJIjlHHMII lltOocfxl2llJ1eUTBJltlI (npoIloplijOllWlLltllMi A bull 1 II i e) lHiJI~ IroTOPllX noramam C1IHIYJlJlpHble COCfaBlIflDlWc MalpiPOillX
MeNeRIOB KakolO-JIll60 npH9411W4orO qmalPleCKOlO HCTOAJtOBalUUl
ouepllllJlH AJ)OBMellRll OBJUyJUtpmltx 1lt01trpltUleHOB nan no ynaeTCR
iny OTKPOOOHHO 4ltlJlM8lLHYI npolWJt)py 11)0 aaweHHTb liB llPyshy
rYJJ JICJlO 0 TOM lITO B npoCTpaHC1BelUIO- BpeMBlUIOM npenc9BJJeEDi~
npo6l YJIlgtT~OJIeTOB pnCXOJll)lOCTBlaquo nepeMelll8eTCJI IIll CBOshy
lOa WHYC I110 nponarnTOpI IllmKeJtWCpr3 - ~BH8 HIOIlIlT
OCOc1eHHOOTK no nepeWOIDIOa KDalij)8ra 4-ml1epn8JItl s aIE c a t L _ X 2 bull
nOCK~KY TfIIIIlUIO fOItr~ BHJlIWI)JlCJI ~Cpe3 npoHB811ellltJ nposhy
naraTopoB ~o npJIXO)lBTM 11 1l0ll0 c nponOOllelUWoQl nOll0611l1X
CllIIYJlRjlKOCTBa IallJlI1BP KlllllpIlTruG llwloTa~ lltpalUl
S(s ) C I4BTocwA TOUa 3peIM Opo ClIO)lBTCR
R 3QJlSQe onpelltlJlCH1IR onopelljl YMIlaaeUIR 0606l1leflHlD( W laquo OTBeTCTBYmmHA pe311W cospeWBllHoA TOMaTHKH BOHHK b 3O-x _
6
4O-x OJlax 78 6yllY B~3BBH K WI BClIQllbSOB8HHeM 06oeKshy
TOB TIIna llllJlbTa-4IYH1WIII n pa60rax no TOOpeTlllQOO1ltOft ljIIaHKe B
ooOOeHHO ~ooPHR pe4KXHBHorcKHX nGncl C 8ro TOlIIB apelWl opo6lellt8 YCTpallol1ll pacxo)tYlOOcTel
6HJa pecCUOIponn B Hall1Jle 5(x OllOD H H EolOJlll60BIIM II
OCIIBpaClflltOlA9 JlOK838JOIBlI loDI T9opOltR 0 C9pe1OppoBlltaX C ltOJlHoII
MaTSlIDlBlBcmA crporoCTDD HCliopmoaDQe pemaeT 3aIlQqy nOllYleJmJl
JltOlIellWX IIlPU8W1A AIU UTOB TpIt)l paCOIlJllUUl B paMlltBX
TOOjIIDI S03MY111eIlHl Oe3 OOpelllOHllJl KOuTpUeH8gtI PellOnTYjUlWi
ilion TeOplD EolOlJlCloBa - lIapecllKe TIIlI no R - onepalDlll
EoIOJlll60Ba 10 B TeHlle no~JIYIIIIiIX TpeX lloCllllL1lemA IIIWllT-
CJI npeKTabull bull c 1lt01 OCBOsoD Donyilllllllt 0)U03H1llHWt IIOHelfUlX pesY4IofSshy
TOB n nepoHOpwBpyewux KBaHTODOnaxoDux r8opaRX
3 bSaqaCItQB conef8Fme neOOHotJnmOD9K
TpIWllDIoHHUI B3rJlJlA us ~9lAOKOO cOllOJllllllDle TeJBllll8
IlaPOHOpmpomca HenocpeAcTBeHBO CM38H C oro ctIIiIcfOBWM 3Jtaqeshy
RHON 11 BOCXOPT X tJarl1UXWOl IIpeACTSBJIOlilUtM 0 tUlCTMU1lX oaeshy
JlPwoa TaM ILItl HlIHM B3aJ01OAOlcMlraquoeil WIloJDrttOJIlI nepeHOjIGJJOBJGl
ClLlInmam lOJtWe bull OllBfblemiddot 90SQOJOlll 411iSl(1eoJaIX napaare1poraquo t
TBfIXIJ JWK MaCOJi KOHC1EUffW OBll3H II H8KMOPliO APYnIO TaROI
ynJlOIIleHlllll B3rJUtJl 1l0ll0e llpeMll nOJUlOpDOllllCR nlWpo 1(311 Ile
~plJtIlUl101Ol8ll 4ltlPloCYJlllpona onop8lllll nepeHOBamppoBKII OCllonampJOol
Ha onepallD mAlITaHIlR II DIDJlltCHOM upoOfpBHOrBe cmo~CIl B
IWHelHO oqe~e It nepeoupellellOl I1~YI DB_OPOD - IIIIc ell II anshy
PlIlla lQpoHll
)ax BlilIICHDOCh BOOcu6J[OTIIJIK B ooeM cxyue He CJIllBCTUY6
OJQlOSlUICOI0ro COOamperCPBU YUJIl CXOJl(lDll IOOOII napBllMpashy
d BIOJllllUlO B JlarpauKlOJt oepeBOpMllpoBaHHlOla ozte~lOGI Beshy
7
114 poundRHruut I ltMetlIH1(H llenocpe1lOTnelUUlJ tPROlJJBCKB A CMlICJI r C no shy
IdOIIILIJ KOTOpux napsweTJlII3ylJlClIi peSYJUoUY IIUOICJleHBlI It HaGshy
JIIlIl8ewu H8 onUTe xnpnKlepilOTHRlI npolllCCOB HX B98111011elclBI1l
JloIe B 1l1lll00JlOe npoCT1l1o[ C alOJ TOiJll 3pellllJ yqse Il3lIrOBOI
3JIeKtpoJtllliJlMlUlamp pe3YJlhTSTU llUQIOJJoKllll B3IITlle B npoUBOIILHOI
ex nepeHOjlMHpoBlltI (lIaDplMgtP B OXeM p8Mllpuol nOpltlHOpomshy
poB) no nepeaOPMllpoBaHHUX Maceu H 88]l1lJ18 aneKfpoH8 CCgtshy
JlejlUT 98B11ClIIIOCTb OT JlOnOJIHHTeJUHoro 1I8jl8MO~p8 bull lIlleshy
ro pnMepllOOTb MIlcew Ta OOpso HBnplIMOP B Oe8118COOBOA
an8KTpoJIIIH8IIHICe (8 B YJlbTJl84gt1OJUTOBO peJlMe oOwIIIol RaJ
C MIlccol) 8 peynbTT rrpenOjlMlJpoBIIII B03Hl1a1eT P8PHUI neshy
paMeTp HlpaJIIUlA poIh MSaMa6a B BMJJYJILOHOM npoCTpoJtCHe Ushy
pnwep BHaors KOTOPOlCY HCT 11 HCXOQllOII J18rprulU8He ~HOH
CaMOnpoR3BOXLHOro D03HBKHOBeKBn p83MepHoro nSpBMeTpo n~~
H8BIlHIIe P821ejlllol TpIII CMYT8Il11J1
STopo XopollJO HBeCTHJilI H BeO1I8 nOyllJl~eJIhHH O)lgtUlBp clIJshy
988 0 lIOJIeJUd ncell0cIltlUJlpHoro II38IMDJlelO1IlIII ~PllBOHOB 1l1l8Bshy
ruroro tlUU1 8 pcayJlL1aTC nepoR0PMIpoIUtill 1) Hast C8UOnpoRrBOJILHO
B03J1BJt88T tOTaopH08 C8M0elormte ncelUtooKlllISlPuoro nWUl rapaKshy
TjWsywoe OIlOeI 0IlOTOHTOIl CM3H IoIoJl c OJUtO KOH08IITOI
CllIl 0 pe1J1IT8TO rrepeRopompoBlltlI JtpeB_eTCII B TeOJllll) C 1BYshy
WI ldeXaHJI3MWD1 B3WD1)AeAOTBBJI II ltBYMR He3aBlOJuDIMJ( KOHCIAHshy
Tmm CUJ3lt
EOJIee HOBYe O)lgtUlBJlII CBII38H1l C mIJIeJUle onOHWDlOro UlpyDlCshy
llllll COTjJIll R I$Il9KTO lurebull aneCL npoBCXOJUi TllIC1Ie 08shy
HUe c 4IraFl9cml lOqg 3peHKR JmJleHWI KBK uepell8lUl centS3lfl1eeshy
lltX CTenaHei c ooOalIl O ClltMJJjlIIoro nOllJl 1lI0pollODIO~ lIOKTOpshy
1I0~ DjllIOOpeTaDIlelCY COY It T n IN BIIee B BIJIY OUYSlIIIJl
KOrAS B OOUOBe Mexmhl9W1l cnOlltrumo~ HapYlJeHaR JIeu KBaHTOBWO
altWJcMTU III aech llllOonllTlln CHTYOllIUI D cwlUIPTuol MOJl8Jl1l
8
r
alonpo~JIB6oIO B38Jl1)JJolCrJlllJl rne B03HBJlt8e~ B0311lKROCTh
P63JU1lDlOIO BY60PQ xaprurrepzCHK I nottBepr8DlDlXQR He38BBClIMlBI
npeHoJlMllpoDKrult 881160gt100 8kOpellQllJltaIl OIlfYIlIIIII ncgt-_~
DeBT MBOlO B 180PO ClIIIABOro B38lMOJtslclDIH B flO BpeM8 lall[
ROXOlWlll ClI8JI1OlIOXPO~CKlIII Jl8lJl8HIIII811 COllpoT I18ce
JCBaPlU)B B Orutty JCBapK-rJJgtOHBoro B bull lleIClT1Wl bullbull1I6JmJtsshy
T8JlJolllla )l8lIHIlte n8jl8M01jWymCJl qepes XBj)aIlIePlOTIlltII 8JlpoHOB
TSKIIII 001011 B 06111011 ClJtYIII OOOBe~01BBe M8lIlly napaMelshy
paM ICXOrHoro Jmrp8HZlamp8RB 11 KOuelDllDlll B~ I lICDotbajshy
e )WI OlOloaHllH ommlllX )awmx JIIIJIJIOrOJl BeC 0II0J1H1ll1
lUlU 18 KBleCtllBHHOII ypoBile B 8l01 cuyslIIJI aporu napeHOpshy
MRPOBlQl B006~e roBOpst OKa3llB8eTCR lI68JJe1CB81KIDI K8JQ111-J[160
laCllORlD( ODOpalIllJDamp r CBOARmIIMCR K aaWSHomm UOpMllPOBOK MIlca
3S]lIIIIOB It llOIeBWl onepnTOJlHIiX ojlyHIWII ampra CIIQeT BOcnpmllshy
Marl 60J1ee onOOPellCTDOBatUIO I teaK nPOllBltJPJ YCT8lI01)J[(UUUJ OOOTshy
BOTCTBJUi eJIIJy BOXO_ a8TPlIO_ USjlIIII6TpBIII JlarpaHshy
_a I ~lIIeOKllllJ RSBBlIOIIIWIB bullbullCIIOJI]SYruGiIIII JInst nSpeMeTJlIIshy
S8UD peYJllgtT8TOB IIHIIICJleH1lA B H1l6JrlU[sellllX BeJDIIIIIJ
4 Pa3MepKM lpaHCKYl811M I peHOPl4IWJIna
fispwleTp IUUWI fI bull B09~K8IIUlI B npoUllcce ITOpeHOP-
MBPOBIOf C tBCIO MPTOM8ftlleCIQ)I TOIIDI SpeHIUI lie nepBllI B3r1AJl
Ds-BOJDrr It ~onOJJlmrwrHoR oJlHonsJlBIIIHplReoB01 CTottOJiB caoOOshy
JlW a no cJllleeTBY K 803Hl1JQ10BOHBIl nOBOI CBOBOOpssHOI ClIIiIJlIIII
JlEB8IIlel B oeHoBe peHojllllWl38IOl0HHoA rpynnw nOT nOjl8Mop
DpellCT8BJlleT coOoA HOMgtellllelllll Qpe3Blll8bo II8IIlHJI C ~IIcgtshy
Kat OllCl 3POIIWI bull 8Tpl6y npoUllAYlII DepeBopoGpoBJOl B 3QCJIylQIshy
Bae ocoOaro oOcyqOKJU bull
9
IIpexzte Bcero C--leltYeT YCTaHOBHTb ero qJH3HlIe CKlli OMHCJr
HauOOJi08 npoCTO aTO 1KlZH0 onen8TL Ha MaTepHaJIB n epeHOJllDpoBKB
J8paIl8 B tcBaH7OBO~ 3JlBKTpoJlHnaMilJte aTe nepeHOpMHpoBKa B Citshy
~y T~eCTna Yopno ~HOM Onpe~HeTCR nepeHopMXpoBKO~ ~TORshy
noro nponaraTOpB DPHqeM npoJiJSBOJI B 1lli6ope )tOPMllPOBKH noCJIeJtshy
Hem nOJUlOCfLm nepeHOClItCJl Ha era HUBllpH8HTHIlI 4-mmyucRUI
8 PlbJHT e H8 lOoUIYJIbO ~Toaa S38mCJ9itMgyDllero C 3JlBRfPOshy
HOM 4Iinrqecxoo 06cyQ8HB8 RBl60JIBB BlleKBaTHO TIPOBOIJBTCJI 0
IOJlOJIL30BaHlleM peHopriIpyrmoBoro nofUffHJi XHBB_pH8HrHOro (lm81fe
acentoIIoKTlIBROro WI1 6oI)1llom ) 3aPJlJtB TpoHa ~e 4YHlltIl)UI d (Q ) OIlllCT UlleHelDle C HiDlyJILCOM ( a ee JIIIJUIWlIIIKll cliypreshy
06pal1 lt (~) C paccTOaHIeM) ~Ia 3aJlWl BJIeRTpoJUl
CaM qntcr BD3fiKKBon8Hllll TBKDft 3 8lmClIWO Ql1l BIIee DI CTa KBaRtOBYr
rrpapoItY OHa 0lBei8eT ~KTY tl8CTRIQI01 8KpwnrPOBKl sapsmn aJJCJIshy
paM 33 OtleT npoueCCOB DOJ1HPZ3llJlHl B8KYYJW OBOzvmBXCJI K
BHPTYalhHoA ~CCoQlaUlB ~ToHa-npo6HflRn Ha BJIeRTpoH-n03KTpoOHH9
nspu
KaqeCT~eHHO 3BBilOitMQCTb ex OT l Rs o6paK8H8 ceNe ttcT -
BOM KjnnlWX lUi pHC 1 lltaaJlBH K(IIJl8I OOOTBeTOTByeT 1lO3Ml11tOlij
nOBCll8HHD a4JPekHDltoro aapsma no HMOKBfUU YCJfOBHJl COOTneTshy
OBB8 C l3 rCplleMLDI H8 OIlHe sn6tteKilcM 98pattB aJIeKlPORa4 MlAshy
HO alO YCJlOBlle H~ II mme ( O J = 113 Te liDOshy
IUIT OllllO iIlHQJlO HeRO I lITO B 60l1ec o6utQW CJITlse ~BR K3 KPlflUIX
llB pRO I IOgtItlT OIiJL OlllJOH8IHO onpelleJIelUl roqa aa WlOCKOCshy
~H ( IQI bull clt ) Te ]IOOpsHa ny roM aaJl8Hllll tIlyx ttBpaMe POO
f II CI TaIt1JM 06p8SOM lITO ( fo(t) ex l bull C 01 0
TOlKll ap91l1JJ1 nBpIUI8p IIKWIJI t bull B03HEXA~ B npouocce
10
ncpenOJlUHPOBltR eC~lI npoclO fODYmi 4- mmyJIltCD qoTOJW iJcnorushy
3yeMOlO All11 H~MOpe-HBB a8ptUta R eliO OrCrJItSl I iTO BOl1lJ1Ol0Delme
HOllOm ( no CpIlBH8l11D 0 KJIBOOJlcCKIDlt arpaHlDBHoM) IUlpallltlTpa
lJHslJIIecKB CliR3rulO C ilopexonoM K KDaHTOOOJq paccP60rpemm n HO
C ClHlyJIIIJlHll x DpalITepo YJlLTplcjiIOJIeTOllWX lIKJI8JIOll ~ IX nepeHOIgtshy
IltIlPOBtlt8Ml1
TaJltHM oOpaaoM ~OIlOJlHflTeUlildl ttBpaMeTP ( n oOllle CJI)Iqae
KX Jlaquo)IeT 6111amp HecJ(anMto) eon pe3ynLlllT nepcxosa OI CHc1eMl
JUlBCCB-qecKltX 1l000el OIIlCIlBB9)lJ( HCXOmWM JIarpaHZH3JiOM I R 0001-
EeTOT~~Oa KBaHTOB02 3~~e B 06~M ~e XOPOWO H3BeCTHO
1flO tJepexolt Ol Maccn8CYOSi OHOTeMU It KBaHTOOOA He JIlUEFlOlCSl
otUto~nwttHWl O)tHol KJtaoOJ1l8CwA CBC1ewe DOO6lIlc tOBOpR t OTBCshy
ise Hs60p ( IIOgtlaquolT OWU Oec1ltOHelUlI) IltB8HTOBWlt CJOTelol Boop
M~ HII11 paOye BlelleRIIH II ~CIlPOBaHll1l HCKOTOpHX lI0nOJlIDlshy
TeJILHHX MpaMelpoB ~a MlIen eoaxOuH1 It 113BeCTIlllY eUCKtl3ll1lllJ1HJIM
flIunCB Bops I3~ llJIIBC_ K ~pMYJIlpoBj(e npwma lI01l0JllIlrmshy
HOCtH a ~8JrJlD ltpiDpoundDlIIIa JJU[hHOOlB Hx 0YTraquo CO CTOZ1 n TOM CiTO
JWI nOJllloft onellllltmltnlllJll KllaHTOBOI CIIOTe IICOOXO)DlMO 38Jt1~L ee
llampBKpoCKOUHlfeCROe Olltpyampetale tl Ie Y Ra38TL rIBKpoOKOnRtJeCKBe
npHOopu 11 YCJIOBtUI pellllSl JIMrulo 01111 II X8paIlTOjlHaymcq llOshy
nOlIHJlTBJI napaMeTpaNII
OllllWCO pou napruoeTpa mRaJIU He 1I0QepllIiBaTcn Kult
daxo O~MeqeHO BUma OR nPHBO~T K cy~ecTUOBafiHI) peHOpMrpynnH
llM TOm ToOu npoQllItII~b COOTBCTCTBYIII(YIl orallY paccY1IIIeJllI
BeJlH8MC11 H pHc 1 bull ~OnyClKM 0 DU60p ommll 113 RpHDlIX npoll3shy
BelleH YOJIOIJBew d r~~ i ) = at ~ ITO JIYeell ~BJlO C 6031180Coshy
BOI Ollllos9JlfW101 ~jlHl HanpHMBp 6eocoooll MeKTpo)lllll1lMRshy
1lt01 PIgtBlTl1IllIlt 9a~ tgtallO Tcnop Opa~CraBlIb 11 lllIJle ltiYJultIllII
11
(0)
oil -- - -_ -rI _L
1)1 _ _ ~ _ __
_ ~ 1
Y Q
PHe I Ka~eeTBeHHaff BaBleBMOCTb ~K~Oro aa~
OT IIIIII1J1]C8 Q B K3JI 1000Bll8 Clt (r l ~ r ~epI8~ SHOOp o~oa 3 D090QIBHX KpEBHX
(Q )
012 ~ - - -shy -shy
)J1QJlI
lIIe 2 b CIWI XplUl8Jl 0 (Q) -0 dim pxcpo_ 001 IUj)OI ( C( r ) T8Jt 1TOO1i a(N lt1
IloIlllODOCU nepoXQM OT OJDIol napoKBIJlI188ll1111
( 0 I 1 ) It JUlyrol ( 1 ) 06Jl1181~ lol1lleClt1 OCH081 POBOJlllllU8IIllIIDllHOI rpynnw
u
lillY Oeapo3MepWX a pl)jleIiToB Qfl bull 0 T e 381ll1shy
CSTgt B lIIlIe j (~i o(~ ) ilpil TaKO BlJle 381ll1eB CJo1UeT gtleTt
B BIJI3 0 napa ( ( 01 raquo COOTeeTCT Jm60a 01llte
rae a6paRHol KpaDOl PaO~~TpBM Terrep_ onepoUBD nepoxoAa OT
oJljoA rrBPW U8UpllMep (tlt 01 ) K lIPyroD ( i~ oiL )
JI_al Ha Toll a OSMOl KpmlOl - eM pHe 2 lICHO TO ~lIj1II
OllCliB8DItI1I JltpwHYII _aT Olin epa y enexoM n apallOTpil3088IUI
It8K OlCliOl lIB BlIX Tal H JlPYIOst HIwMB CJIOBaMll JJOJlampfIO HweT h
Me CTO paBe HCTBO C( qJ- ~I )(lQlti~ i a ) rlle Ol8mutHO
= ( (I (~ ~ ) bull KoMII1HIPYJI nWllellHIle COOTHOnlellJUl npilshy
XOADI K UTBOIIY ~01l8llbll01O) ypoBllOl1Dl IIJH ~KMOIltOro
aajlQB
[(X olt) = (yen~Z(traquo)
3To ypaBHeoe t M it II ere 06061ll8HBS1 un 60Jtee CJlOKlwe OJIYqae
~SKHT B CCHOB8HKB M8~K8~ecKOro annapB~8 MeTOna ponopuaAasashy
QlOllHol rpyIIIIi npoACTBBIJIJI coOol ~PlYJBPOBl) eDOleTBa lt1YlUltshy
QlOHallOA SBTQMOJlMbHOeH 11lt1 BoIee nonyJUlpBoe ABifgtilepeHQl8Jl1rshy
aoe ypaBHSlU1e DQQWlT 9 HelO npo AII~poHUllpoBlIIIlIe
OrIIe~ lTD DplllO)l8HB8JI gtAeo) noq peCCYIIlIellllft l BUshy
BOA ypBBHaHBJI OWlll anep8llIlBIIH B padOTo Eo1OD16osa bull IIIIpRXgt-
Ba 1I5 uellto BOCXOlUlllO K 1III0HepOllOi po6OTe llTIIlteJlb(lepshy
18 B DepIoIlII8 IIG C AP11OI C~POHII qeeHHaff 1lt8pBHB
JI B OOHOBa BSlIOCHOI po60U Ieu-Mamllhloy 117 DpolOAJIshy
~ K 8lQDtMJleKTIIlOl YpaBBeRllBM beer BeObMi8 ourmoe pSJIlIecltOe
COlleJampWt1IIe KaJc 810 oc06elDlo SlCKO liB 06cyqeHIUI IlPBBeAeHHoro
B IIe B OCHOse MOl JalPfIlHH OUT npe)leTIIIIIOKlle 0 Ha60po
HWl01lBJ1LHJa nJlll6JJBaeBd K JlO bHO IltSaIlTOBOI WleltlpoJXIHIUIIlJttl
llt8ampl1oe bullbull JltOropux 1oI1X8T Owu xaPOJlII90ll8ll0 )lIUIJIYOOII po
13
bull
elttpo R B OKTJlKOCIQDI S8Pf1110 e TIlJOIO pBM3lBl1lOIO
OKlPOHa Upc06pl30B8lllle DtmIlII8lIeHTHOe peHO)lIapyunOBOlIY_shy
HO npellCTaBHTL c060 JltlK nopcXOll OT OJIHOI HMOK8ll1gtllO annpoKshy
ClUi8DHl1 K JUlyro8 TaIaDI 06pa90 D OTJlFIIe OT DJlllrllll3l0IW1Il10ro
DOCTpoelllll pcHO]raquoltlpynna Iou-IlruUUl bull oymiddot eCT lpymta Upc06shy
paO 8IltYTp IIlIOaeCTD8 HeJOJlt8JgtBHX MOJleJlO K31I lUellllo OHa
BeCbMB po(CTBCHHa panopcrpynne BKAbooHa s CrBTlCrlflleoKol
qm31lJ(e rAe COCT8lIJlilJIIIlle nMPPYrmy npe06pa3oBpoundllllllr COOTom D
K8JUlHOBClltOM KpyIIHBKill aJIeWDBIfapHWX IDlltpooJtOI1lIIIeoJOlX 6JloJtOamp
aanpawep dnoKOB OllHHOBUX peweToR
5 rtpHH1lM1J R1UHtyewocTH
Bo3DpaIllastC R np(llJlKlD1aJ1nol CaPOHO onepa1Ulll nepcllojIIGIshy
POBKII KOTOpan 06 C)IJI1laJIBCh llliIIIe 1l KOlIUIgt pa31leJl8 3 3811eHll
1TO B CBeTa npoelleKHHX TaM npmtopoB Calm oD0101BO noponoptJlshy
~CMDC~H MOampe~ 6HTb paccMOTpeao C Honoa TOqxH 3POKaR
06_ JlOIBRY pacO)lJl1lCIDtII M CTa DO JUlDy y r Jlo lllallshy
TOBYI 31lJ18IY BSlIlIIOOllelCTBlIJI OM DlUDIlI ITO aeuePaHOpoOpyeshy
MOCTL 3KBHBanC~Ba HBB03MOODOOTH nOCTpoeRKK ~oBOnonoBOI
IOOJleJI1I C JtWIIIHlI LUlXIlIIJISIok) B381Do1OIlelcIBIlJI noJIel Up llsrJlJUle
o l8JltOI no31lUlU omuLBBDTCSI paBHonpanRHM gtttenll qeTYpex4Jepaashy
OHllOlO B38H1OOIleAcBKR ~pMH H neeDllOBORTopHOro B38BMOJleICTBIR
DlUUill I Do aae IC)a6Ih ttC8BAOCJQI4SlPHOro DlUiBOXOlO lJ381D1OIlelcfshy
BlUI ( a OllHoR JIOHOIBHlOI OWlllII T o He conpoDOQaellWl npJDIHII
DII0H-IIIOllllHlol B381Do1OJlelcTBHe ) a llt8JIlI6poBOUIWI Iok)IlWDo onposhy
CJl811oro D8lDClllOaOTBIR JIOIIIOHOB ( a UeOKOMneHCftpollllHHHllll Wloshy
1IIlDJDoIII) Bee u 1ok)1I8J1lO 08 Iok)ryT 611Th ~O a RORIlX-060
nOCJIeJtOBaTenhltHX IG8JlTOJUlX 180131 IlOIJl K8K COOfBeCBYD1Ol8 dacshy
e90om (VIllI OJIYlWlOCHIOCIQe) uptlJlMll
14
Teueph MOIRO laTh npoOTYI ~PlIYJIlO POBKY nplllUUlt1Ill KMJIshy
-ryOYlCTR 3aMCHHDIlero CBOlcTBO nepeHopcapyeYlClH
- D oopu pcJUUIIllJICTCKlIX nMea CJle)lyeT paCCMSpD8TL
()(aampe no M aCCqOCKO y poBIIC ) lOJIKO T lUte 1AOIlllJlll H axaHllSw
B3 QDK)DeicrBM llOJ1 e bull bull ROOjlHe )to nyCKBm nOCJlelOB8TeJlhJtoe tmaHshy
lonoe pBCOMOlpeUJle I T e f8Jtf(JJT(U( M9CCWQecfGOOI WUlJlOI8MJf
llI(yTpclDle llenpOTlIlIOpcltllllWC OIQHfOBOnWleDIlX IOOlleJle~
6 Pon KDalITODIIX IlJIHHllJIIIOD
06paTllMCH Tenep R POJIll JalIIHTOBllX np(lllllIIJoD D IjJo(lloGlPODashy
IlIltgtI CODPCWloro 06Jllut8 JIII1IHTODOI TeOplIJI nltWI lanOMHIIII BOshy
nCPBla liTO yse B B8tWJe 50-x roADH 6WlO OC03ll8lfO lTD B
oTJlIfllJe OT KBaHTOBOI waXlUcaq I IAO IlJOpquPOUJW uUlsam B38HWOshy
IlelCTIllIJI Ilrumol COBOI)lIJlOCTil qs= llonycROel DDellelUle CooTshy
llO1CTDYUllelO OICJlO npoH3JlOJ111WC ~IKlIIIlI (nOTeIlQIIWlOB) B TOshy
pu KD8ITOllWC nMeil npoa300Jl B JlarjlllHDaHe B381l11OJleI~8KJ ltliKshy
capoBllllHOI CHoTew none orp8HllonmaeTClI netloJrbllllll HMOM ROII shy
CTaHT BSWDIgtJteiClBU KBaHTOBaSl T90PKSl nOJlJI He ItOrrY0Ka8T nposhy
B3BO1gtBHX IjgtyHHI1Jlt qTO JIlWieTCH OJIellCTlUIeli YOJIOBHR nepaHOjlMHshy
pyeMOCTIl
CeJQeT OIII8TIdlb lTO nepOOJ18lMltHO aTO CDOstOlBO npenshy
CTaBlIJlJlOCb CJlu6w MOOW JmQHToao1 TeOpml DWUI OBJ3poundlHHla( C
HecoBe~eHcTao Jlo CrYlfHKl TOrll8 Teope1H IeClQtx MelOItOB D ne~
lyIl oqepelllgt WlTOIl8 Teopo D03lIYIIeHKA ll]lWllt8X RC)TOpol II oposhy
BO)lU80 U800Jl4ltJt8lll11 n epeIlOplolllpy0MgtCTH B nponaonMltWIO~
alOIQ cnyor a 20 JIe-T CBOICTBO n epeHOPKIIPYOMDCH I KBJI01eHliOe
B BHIle Tpe60Mlllll IIOJlIllllllllilllll4 SllollaJDlJl ClllJlWo 0YIIICC1IIOIurym
15
JlOll1gt ) nOC1poeHl1 O7WUlBpTBOI IO)Aegtl 8lIeRrpoaJta611X B9IlKlolleRCTshy
IlHI B B cjJopMnJlOBIIKlt1I nOHlinJi noKOJIelWl qpMIIOHOB B lBOTOIIshy
~ee BpeMH npeJttr8BJtflDTCJI H8C011HotttlHll lJTO ot1llTHHe llatDtWO no
OJsO MeRrpoalllTIIHIoI B CULIIliM BWDIOAelcT1IIIDoI ryT 0111gt
orut08HLl llaquo)JlJf1lectB8H110 c noYOlllU) nopeuopmpycMllX ltB8IftOBOnoueshy
DIIX IIOAenel
CMbullbull IIDJ1Y paIllIOOI KOH07aJlT8MII BSIIIDlgtAeAorBIlII yOtampshy
IUlllJIIllQl)ICII npllIUlJmOIl JlOIIBJILIIOI 1ltaIIlI6poooltltoft CIIlIITlI ( J(](C)
I~llKe II nOJlllol pe Oilll ocjJopOJlJlPOBaR ija91lOKIII
npmllllll B 1954 r llHroll 1 IMJlOOII ROtopHe H8 ero 0080ue BB8JIB
HOBIliI MIl00 cawoAolOrnyDaIIX BeRTOpIllX peiIImDllI07ClQIX UOiIeR
H83JmaellllX Tonepb R8JI1IOPOBOlHllllB nOJllllll BJIJI nOJlllllll Ru18 - IIIIJIshy
)lea 3tlt nOJlB nollODK) OBOBX B1ryTpeHHHX ODOI~B CBSI30lDDJX c
HMIIIleluoonlgt CB060)lllllX ypmlHeHd _eHlll qllfeJlgtllH 0
TOIJO 3peHBII JIX B38K11OAeAOTIJIII C IUlYnDUI nllMllH MilllllJlanHoe
B3I11111OAelofllJle llt8JUlOPOIlOIIIoro nOllJl C UOJIJDUI ~eplDl O)lllOIUIIIIO
no cjJoJlllO bull xBpeneIll3Y0l0II o)llloll KOSOrBlI101 OBRbullbullbull B CJf1UI8
noaOeneBB nltWI Tn ae 08II8Jl KOIIOtWlttB lIXOJIII B ltaJlJlHollml
OHH CBOOO)lllOl YJl8lIIIeHBII nOllJl
K JtOJUlY O-X nlJtOB BWlCiWJOOb ~o Ppound fOUKO aJl8KTPOMarshy
1lIIlHHIl )o TaJalO OIIaOIiQ II CUlgtHliO BaJec~ OopeROshy
CJI K8J[JJOpollOIItIOII BeftOlIJAII nQJlJlloOl BCJI8)CTBHe qero II IIlJlCTB8
B38J111D)1e1OrBy-IIIIJOt Kll8lITOBUX nOJlol Ollpe)16J1J1n1tYl) poftb IUpam
BOOro 1pIl KORCTBKTII OlllllB BRe paYOR 011 CTpollROIl bullbullKOBO
Bol K8pTBHH 007801011 IlOnpoo 0 KBWlTOIlOI TOP rPBBBT81U11l
3ltecamp o1XJ8JtO ncRBlUlWCb 1it CJIlOOtDeIDlO OKP8nu as uocneJtHK8
lOJ1II BIIA_ OBn8lllOl 0 oyn~BpII81 (CtCH)
16
Kax llaoeCTHo CyCIt c_eT MegtIIl 00601 qaC~ c U8JIIIIIJI
B nOJlJ1lemD4lf CIIHK8MB (TOuee - KBaHlOlUIG nOJUl no~eQII
lt10- II gtBJNII-IIpeCftlBOIlOtIIUII COOfBOEBBlIII) UOAOOSO I0Il1 K8lI
rptnmlt lUI11peHHeI OBIIIIB~pIDl I181JlIII8P IlSM0IDII80K0ft OBIIUlUlam
ltPT C JQgtYIOM UCIiWY C OJ[KB8XOllDOl COIBS Jl 6na3lUllO M8QC8MI
O)lllBXD eye n JIBJUIOTClI BlI)lpeRHoB o aPoaA a npe)1CTIUW8T
co6oll ooo6oe p8CIlIIlpelle ClMIeTpHIl COO1BBTCTByuJlel rpynn U--
IUlpe 310 olto6J1leHBe OIIITOe 198 1lt8 7O-x ro)108 npeJ1llOJlllshy
ra paCIDpB 4-oIepeoro DjlOClpBHO 1mult0BCJltoro 10 middotcynapshy
UPOCfpBHOTB8 KOTOpoe H8Jl1lA1 c o6IlIIIIIIIII UPOOTplJllTJBIIID-Ilpeshy
MBHmDCI KOOPJDlH8T8MJI COABJlIllT JlODWlHHTB4bHHO CIIJDIOptW8 8HTIIKOIIIshy
iIlTIPYJJIDe lIeJU1 oo6oil c qpom-llOJllllll 1tOOp1lllHamplW - 1BIt Haa
06paBIDJIjIO 8neOpu IpeCCIIIIH8 ifmleltcOil paaJJBpeHBII cynepcTshy
pHIl DP~ TaI IIIl3IIll6llT ~oe ~IICJ10 IV I8l108 TO IIICJlO CI1lIll0Pshy
HIiX rpacCollBHoJlllX OdPB9)IICBX _ 0 2N bull B Jgt8IIIl cye 1I181l1OIIIIe
UOampJI rpynnJlp)lltCJI no 0PBIIcf8amplle rptnmlt C-C npeoltlpasoJl8l1BI
OOpllBYIl COltnBBTCTBJDIIlB IIJJlIIUOTII coc~bullbullbull 001 pIISJ1lRshy
IDIX CUJlBOB IUIR UeJIJU BIt bull OaJlyIl8J111l[ (aqO - cynepnWJJI)
BoeAcTBl6 8~OPO cCa YOTABAfIBA8T uPOCTHU CBRUB we~
kOHOTaM ll38JIIIO)telcTBIVl HOKOTOpol OOIlylII00Tll 60samp- H gtBpshy
lIII-oOJIoI 06pas-DIIoA cynopnOJI 1k~8110lilUtll CTPYIIT)pu D8POHOPshy
POSOII jlIUIIl CyCw lOO)1e~el 8118 B cepelllJfgt 70-1 lOJIOIl IILIIWIO jlIUl
38MOi8eJlhRIU OOcTORTelhCTB OILaaaJlOCh ITO B l8KIQ MOAIUJa
UCTO OPOIllWlOTCII TOBJellllBll K COKpeu811111l peCltOIDOCTB aw 06I18P1UHIi 1I0)1emJ lBrpBJmIAI B38IDIollelcnaJi TOpIX ltllA1U
npa)1C~8MeHII qOp8B DOJLII OOPBB1JIIIII8 cynojllOJlil IIIIpIIlIIlIITCII C1llshy
Mol OUlOHOII IUllUUltI lIS TOpIX rpe01B lI1I6HBR 080K0Henu KOIlty-
lUI8HOB QIH8xo npB nOJeWDl C1llllll BUllJlOIl lUWHOlO nopllJlKll
110 J OT HOe CllllIfUUAlXampfUp6HDBHll O)UlSwa88TWl IlOCT8TOUBIIl
HeltSoJJtoro uam KOHrPU8HOB He l18pJEWIIIIX 0YIlOPCHMMUT)lUD
17
OcuomISR wacca KQHTJU8UOBpaaeHlDlX lapes lICOOT1ULllRllllBe- cyshy
nelllYTHI1Je~ nOJlJlt ItOMDeH0Ilpy8T APYl APyra lneo~ 0Ita3WJla8TCII
DO~ lIIYDpClBllllgt II]l8BIIJIlI ~1BII8Ba HlmOOpOAO~B8RBO JlIJI
OynBpIOrid Ecn npoBeCTK 0URC8IIHW8 BlUCJ18lW1 no oynepnpanrraM
~_ ~O ltOllllleBOIIY~eCR peOXO1lllraquoDcmI Be B0811l11Q111r 1ClO6ae
loo ~~ _aT SBeOUJ IICOJlIII80K1Jgt 8IaJIOIHD 1I0000e OOSshy
IIIIJWI KOIIIUI ~ 101108 KOB8PIf4IIHOI eopllll BO~ B ItOshy
Cpol HUll bull 8B1III401lllll B BIIpTyamIIIU OOOOIIIWIX OJIJII 061ampshy
JDlHeBil B a_a upooar8OjlII mTUlt806epra - ~1JDmBa OIIoUUOOL
qO CMmen pampCI()lIIJIOCft Co60T1eHHol Bepro 3Jl8JtfpClll4 bull KaJ
nOHIBBA8CL C ~1B01 110 40rap~8cxol
lIaadoJIe M C 4gto01lleOlltol 10 Bp8Bll11 lDWDllCII up8p11
nomoA 1UlIIlJ1ilI08IDIII paogto~1 B 881t010pili CnellDlIMX IIlQJlUIIX
Pen IIJlOT 0 IlD 1oIOIl1WIX pacup8aaol (II gtI) C)Clt 00Il~shyIIIIIX oaO IltampIUI6pClBOIHIl1 n()lll B ItOIOpili BLIIIJIIiI n shy
IIluco B nep8BopllllpClBll1 1lQII0T8BIII 0l1li8amp bull TOlBOCTII kOIIIJelloPJ-
Dr _ OIIIIJIOpiIIIX DoJeI IIIlTIIJIIII Dpil STOW 0ItM 8 tCS ITO
np nDCIBAOMTOOI flBTe CyCa 118 n~ n ex Clampshy
ad T e npJI 1I0001ln10l6JDlI OJUBpiIp8BILl hlJDmBa bull l0lppaA8Ogtshy
ue p8OX~fi npClllUampOpoB bull BOpGHgtltIX ltI1HIltIUlI IlOTOpliB DPII
n OJtQIiIII0H8STJIKI BiAlCteDU OaamplIWBaIJIrml BI8WHO CHONIIBHCHPODEUUWM1t
raquo n epe80JlDPOJ1K8 ~ I ll6 BOIIlDADT 1IOa08
l8uII 06pa_ UCIIfIOBil cepJ88B110 JPI8IIU U DO_OOTlo
C1lOHOMIDIlI IIIc1o1w101O CD CUllUT8IlIIIa 1IOJteu1 IOIltIIIJshy
Hoi DBlItOBOI TeOPU DOampIl bull ~puaI npCl~CT~ cmo-
6oDIa Ot JnTp84aOTOBDl paoxo~l
lJoIOORIlte ~ IoIOrrr JDlIlUCII TeopeT1A801lO1 00801101 T6amp01O
-ug- OOteunVWB ~IM Quel - OJD8~elDUl
up IlOTOpCM B o6IaOfi OOll1OlBO 00amp1[[ lIJIoprd 0GEWltB0IJII8JI
derJIIILIIa sIIIIUDIIU IIOBOTRBTa 0111811 1i n epaollu 6uau 18
T e MeRRT hCg c A8AhUe~ POCTOM 3HeprHH H ORa3WDaBTCH paeshy
HOi3 HeMoOpoA KOHcrrurre d I K01oprut ClOOtlet(ttByel umshy
cNUIte Ctlll9l OrosmteA B AarpaHIJUme B UpaltT1J1l0CKHX RH3JltoaRe~
lO-TJIt[e cJQtX mABOJIOJOUlX J llB4BHMe poundmCCH DOJlHolO 06~eJtK]teHlUl
lllltOIyoae1 B lCjljleKTHBHOro HMDyJILCB 06peaIHI C OqlUl 3pcshy
mt1J TSQOC BllnICJIellHR 13KJ1QD JOtsrpawc co cacpxTJmelllaQl BlPlYMb-
1lJ1MH qOCTHUStm IwpmeHCHpYlJmMH paCXODlIMOCFU JIelfCHX JDJorpor_
MOSHO paCCMaTPlIBaTL IWR cDOco6pa3UYU luntepuarri3~lJrJl mrXOB
fiaYJIH - BKuapoa 11 bull
YAh1JXMIH0JI9TOBWB paCXOlDlJrNgtCTiJ lUjClYIl81JT UP 8lorrd trotlt
napOJRTHUO 34cento It1U I c ootseTCTDyxqae HU 41nute ltMfI a KCKYCCTshy
BemtO D03JWKlmte BCJI9Qc rBB9 aecoBepmeRCTBa TpamlUROHHOro MSTOshy
Ila BCOJOAOllnllllJl pIIsIleJUlDl(ero eJlllwij oynepollMWltpoDlJtli JlarpeHshy
Daamiddot aa HeCHMUeTPlfIlllLB clJsraeMJie KOTOpLl9 He nep80M 3Tane u-cshy
eJlOIlllllHll paCCPHllnIIICR OTIlOJlJolIO AP11 OT JlP11A
YnoltodJUl MlIp aaeMelitBptll(X B3WMOlteilCTmrst LUlCTlUt lS 3JD1UJOU
Base C Wl8BlllOOl ~poltruIH lUIII O 8TYO 6onzmu p8POD II lIIw-Ka- CM9tOBaTWUI - rmrMeD KOrOpWl OfKWlHB8eT 0 1 BB3l KyCOlBK
H YHocn B Jla60JlllTOJllW lIIJl aHaJlBQ lnpe HOKOopoe llpeMfl OR
maal Doe od OroH1OM IIIYOKe R flHielO 0 cOOYJe 11 LtBJ[OM npl(
arrOM 01tJU1Iro KPOMO TpartJflUWlona Jlt160plTOpiUlX CpcoOTll It 060shy
PYAOBBHHR MY nOTpeOOBaAHOb TaKEe Bon sara B 6HHH lIIJl Jleqeshy
HRJI nope30B JUi py lQU 01 OCfPUX KpnCD OCKOJIKQB na3u PacxOMshy
MOCTH I KOUrpueHli peryJUlPH38llID1- B03111lU10 TaJCKe K8 uymw
Jt1Ul noHlIlampUDlll KaprHHW B3antOACIClDHII n llCJlOM t KaK He ftYnu MOshy
DK1lt8MBH1U DJlH BOOJleltoB8JUll1 ueJIolt B83b1
fioCJIBl(OllDlOJlblU1R ytt01 TpaX KDturrOHllX CHfIo1ft-TjllI1l COQfBOIshy
C1BYIllUdl IllC XPOHOJIOIVIeCkOlo) nOJlllJlKY HCnQJh30BllBIDl lIlt)JteT OllTh
npenC1~eH B BIlJlO IlODOJlbllO crpollHoro PfIIln
19
1 IIepexoA OJ lltBIIHoBOI IIOXaKJtICJl R DepeRO~pyelOJR _shy
TOBOR TeOpm DOJIJI ( yln npllJUWUl 1Dl) njllIBQJl K tOtq 110 BBllSH
lIYHlWBORM1gtlI01O npo9BO110 X8pa~DJlIYlO noeJl1DtWIIJlol ijJyrutshy
JSol t WY nanylpoundllm JIJIm 1l000P OpB3BOJ1bHHX DOClOJUIllla - ltOHCfSHr
CM3R
2 yqe D]lIIlUUI8 IKC 0 meJIellBo Ilt8lIlWPOIlOIIUO OMO
D]IIIDOJlIIT P yctBHollJlellllJl eMol ( B npoCTellma CIIJlwtl paBONeB)
~ ROHCTaDT 838JOOJAelcTBItII ASHHOlO 1WllI6pollOIIUl1O nltlJlJi
deg n pD
J Ieno_o nplIHlUIIIB eyea BBOJIa 8IIome OnplUl8JI8ll1Di
1l860pu ooeTOlIIIIe gaR lI3 60 aK 3 4eplOl-DOJlel (eynepshy
tqJUTlWlelll) SIIIDIDAea01BllJI lltOOplll[ ODBeWlSllCJI ollllllODellKol
IltOHOURO eM bullbull bull
liaKoaOD OpeACT8IWIOlCJI BeeWOi eMlJAlWOl neponelmlllS
eI1O aTona
4 liaJIOlIlHle pe60B8IIIB eBDplIllepoHoplOlP1elOJ01II ( nPKHIUIll
CIDl DOHIIIIIIOa 10 YeJlOBBO oayTeTllllll YJIgtTJl84DI~OT08HX paoshy
lroJ1)llllce B 1I01I8lIJD( oollo)ll8UX paClrOAJDS)01II no 4oJlMlJlHIN
n~3HaKaM C~eTQ cTonoHol D~e H ax npoKaBO~ D ~Qrp8HKRQ-
He) DJlI 3aA111HO 9118qemm emma Yl8CtBYUIIIIX lSOTBl1 4aultCllpye
CYDepc_pIIIllYD 1OO1leu nMIlI8I OTO erwl p8BItII)I JtIIY)I DMYshy
SO lIane AOOTII OJtlIOIlH8lHOlO ollJlC8llllS po B31l111OJAelCTBlll 1tB8lIshy
bull 0BlIX 000 B o611B011l )lOCT8tOIII0 BWoo Keprlll
Tew C8IIIDI B09111Oamp8O ns HllIIIIX rJJ83U H8qm8H OcyJleCTlllUftshy
C8 M81fT9 alHll1elJta naee laquolew n0JIYB8KOBOI JUlBHOCft bull bullbull bull MY
XOTD He TOJIlgtIltO HOn 18K y01poell8 OpllPOAB ( II npcllCXOJlllt
trpIlpoJDtHB JmeHU) r 80 bull 00 803MIlampHOOH llOOTW1b ~ llaquo)Se1 6Y1ltl
YlODBlecbullbull ApaROI 18 II1I)I - YBHBU noqetq Il)aPOAB lIIWI8CJI
ftMOHRO lalltOl a He lJJYtol2I bull
20
KaJt YSI OTMIlQaOClgt IICO qeH njllUDlKIlll - 1IlI IIKC eye cmr - no coool DptfponG RBImrOa HltaHMmuat TaR KBY JllR HX
ltIxgt ptqUPOBKl HOo6xo_ lltoro KIJ8HIOBIlt nOHllTlIR
DOIDmIe ltfJa3H 8OJOIoooI ltfJYHKUIII R He33BHellMOeTH OT Hee H86shy
AI11taOMWC BeAMRIi
nOHJIIRO 0 paSJIiltOlllX KB8ltlOBUX ClOTilcmuwx B 0 (1030- H
~JlIIll-l1l4IlX
OOlurroe deg nponcxotlllellltll bull CTPYKTYpc YJJJgtpaqmMOlOBWlt pocshy
XOJDlllaquo)CTeA B IQlaJITOIlOA TCOpllll UOIUI bull 0 II]lIlllllAYpe nepellopltl1polgtshy
til bull
Kwt Mll y6~ltWDCL nOCJI9JlOMlCJI1dIOe lUl[J0JI30BQUlle 3TUI
KBaliTOBW DpIIJillHUOB BBObullbullbull MOOIIYll Jtere_CTHcelYll O1pyn B
up KBWl1OBUX SlMeHB KOlOpwt II OCHOBe cnoel nO)tlHUen CTBTJlCTHshy
qeOKlDt 38SOHOlampePUOCTfDII
JlnepaTYpa
1 IilJlPKOlI I(l SW 1983 H 1063-1072
2 JljpaJ [[AM UpJllUDlJlW ItBlUrroBOI MBXIUlHIOI Iayxa II bullbull I~9
c 4(13 1Jy1I tdl3JIItJI JueprooT0I0III9JIIT M 19I13 0 4G
J tSooft G Phyenalao R~port s 1Q84 1]1 1~_I)~
4 Nnmbu y Ph61 cft Ne~ort8 1994 l2 2)7- 8
5 Gultat50n T Arkl v ( Watb 4strJys 1)46 )A 2 t
Spbullbull B R JllalhlIl7obullbull1968 l bull 1404
6 tJtloort Q VeltallUl)l Nuol Fhyens t 1972 i1 J131
7 CoOoJlo C n ila7c c60plllUt 1936 T ~ c 39
6 Sailwllrll L Tb1 rr Itl8 ltt1Itrlbutlo41IAlnDd Poria 1950
9 SoIWlllOOD lUI nape OC 1957 Ao a _h lZ 227
21
10 Bor0JID60B HB R IIJIpKOB nB BBeJ(eHHe Jl TeoPIJll KBIIJlTOBaHBHX
nonea U3Q3-sBayxa M IIrn6 ~ 113ll4-et Hayxa N 1$4
sectsect 2930 11 Coleman So Weinberg I Phybullbull Royo D 1973 ~ 1888-191 0
12 fiIlp Il Il H Jij) lB 1982 T 35 c 1221
13 Bop U Pbybullbull Rbullbullbull 1935 ~ p 696-702 DopeBOll COl ihlJoo Bop 1l00)lOJlHlie Tp)tll T2 HayRa M bull bull 197I oIB(-I91 Bop U lIa6paH1Dle Tp)tll ~ 2 11ayKa 101 19710526-532
14 Shirkov D V In onlineAl and Turbul ent ProaOS888 in Pb1 shySampgd R Z HampMrood AcadPubl II Y81 cmiddot vol bull bull eI bull
1964 p 16)71 IlAII CCCP 1982 263 c 64-67
15 Bor0JID6oB HR bull mwpKOJl nB bull IlAH OCCP 1955 ~ 103 o al3-al6
16 Biuok~bra EC Peterann A HelyPhTbullbull Aot 1953 y~ p 49~520
17 Gell-aampDn a Lo_ 7 PbJbullbull lev 1954 v~ p 1)00-1)
lS W1180n X aev MOdb7ao 19BJ 22 p 58)-599
19 r OJlloltlgtUUt IlA Ilnu Bn n0l0IIIIl B J)iqI 19I 13 452
20 Parkbullbull A and wbullbull t P bya Let t 1984 v ~ p 99-104
21 31bmTeIJ 1 0 cOIIIUeHHOM OOCTOIIBIIl ~eoP nam - COOp HBrUI TPJIlOB T~ HayJca Yo 1966 c245
PyxOUlC OOCl)1IIWI B H bull lM9JIlocKHll OTlleJI
9 OKI86p~ 1985 rollB
22
bull
W~DK08 aB P2-85-729 KBaHTOB~e np~H~~n~ 80 B3a~MOaeHCT8~~X none~
B80A~TC~ nOH~THe KsaHT080iO np~HUHna KaK npHH~Hna npH OOpM ynHpO BKe KOshy
Topo r o c~ecT8eHHO Hc nOnb3y~Tc~ KBaHTOB~e npeACTaaneHHA H cneUH~H~eCKHe KBaHTOB~e nO~THR Pacc~aTPH8aeTCA ponb Tpex TaKHX n pHHUHnOB
npHHUHna nepeHopHHpyeHocT H HH a4e - KsaHTyeMOC t H - npHHUHna noKanbHoM KanH6poe04HOH cHHHeTpHH - nplo HlI lo1 nA cynepcH_eTp IoH1
B pa3SK TH H K8aHTOBOH TeopHH no~ B CBA3K C nepeWM 1013 3THX npHHUHnoe aHan]H py~ l CR eop-nbHaR CTopoMa CH 3H4eCKOC COAep~HHe npo ue AYPW ncpcHopHHpo eOK 8 KTn ee C8A3 b ~ HanH~HpoundM ynbTpacentHonCTOBWX p aC XOAHHOCTeM H pe HOPMr pynnoH n p HH UH n nepeHOOHHpyeMOcTH OOPMynHPyeMWM KaK rpe60aHHe c~eCTBoeaHHA BHyT shypeHH e HenpoTH Bope wHaOM Ka~TOBO~ epc~~ A~HHO~ ~~eJ~ B3aHHoAe~cTHM non~
oKa3BaeTC~ 3KBHBaneM THhUoI YCI108HO KII3 HTyCHOC TW nH K IIHrOBOC T~I nCUC83aHO ~TO noc~AOaTenbMoe B HCTo~~eCKOH nnaMe kcnonb 308aH~e Tpex KBaHToswx np~I ILllolnOA Dce 60nee orpilM~4H9aeT B03 MOlliHbH AHlfUMo14 eC tue Mex3HH3MbI 83aHMO shyAe~cT8H~ KBaHTOB~X noneK
P~60Ta awnonHeHa B fla60paToDHH Teope TH4e~KOM ~H3HKH OHRH
(JpenpttMT OI5be[lMHVDloro ICC1MTYTa JIIAepx MCcaeao A ilYe 198)
bullnepeaoA a lTopa
Shi rkoy DV P2 -85-729 Quan t um Pri nciples in Field In t e r actions
The concep t of quant um pri nc iple is introduced as a pri nc iple the forshymu lat ion of which is ba sed o n specific qun lu~ Ideas and notions ~e consi shyder t hrae of such princip l ~s
- the princ ip le o f quant izab i lity - t he principl e of local gauge s~etry
- the princ ip le of supersymrnrlry and their role in devel o ptlen t of the quantuo fie l d theory (QFT) Concern ilW the Fi r st o f them we ana lyze forma l aspect s and phy~lca l contents of the rcshyno~ll z4t ion procedure in QFT its relation to ultraviolet dlYergences dnd the renona-grou p The renonmallzabl li ty property formul ated as an eX i stenCe coRd i l ion of self-consistent quantum ve rsi on Wllh a ]iveh mechanl5lll of the f ield interactIon turns OIt to be equivalent to quantizab i lityl t i s ~ howo t holt the consecutlye from a hls torl c~d porflt of v i ew uie of these qtJantuln prlncip l e~ pull ~ tl l l IQrger II~ i t~t i on5 on pOs~ibla fonms of field lnt~shyract lon~
Tht illvnSlif)alion tws ~en performed a t the Labor4llory o f Theoreti cal Phy 5Ir~ JIHA
Prlrdnl or 1-1141 J oi nt Inetitute fo r trucler b rch flubna 1985
r
2 [looneAYOO neOOHO[NllOOOOK
llpowmpo npeHoJlGljlOSlI npoDOllllWI U)lOlt)cce pemolll1Jl
IltIIlJIT01lWC YplJlHaIlllA U B I1fJJIOtc ItpellOTaJlJlReCIl D Bllle oc06oro
opeJDIIICIllDJR 4JoIWYJI1PYlO 110nOJlltllrMJiliO Jlt oeHOllIlOMY 8KeIlY
lIBlIJ[el 310 06CTOll1IlJLCTBO a TIlltIII) HeBOSMOIllOCTL poelo~
4utJlA8Cltott lIHrepnpcTBUBlt COOTHOl1eJIl nepenoIraquoG1PDulU BCJlDllOTBHe
KX ClIltryJllijlllOro xapalttepe awWI8IlT OIlYIIlOHJe CT~ntqCKOft 8
MIIOrl18 bull OplllllllllllllWoHOI HCYIIOJlJle1llOpellllOCrH2I
B nOCII=e roIU 06l11tl1 KIIepee K uepelfojllUljlOSKWI 3H8111shy
TeJIJolIO B03JlOC to aT bull no HpaJneA Mepa lIB nJllllll1ll C 011shy
HoB CIOPOlW DPOWIOpe nepeaojlMJlpoBOK RlIJLI8Cb JlOlllqecKOft
XOTJl H ItOnOJl1dlo CJlOZHol oe8000l Im8HIOOOUOJleBol p8HOPMI1JYIDDl
Jl8BWeA JfOIJtIIIIlI TOII III1W1l13a YJlLTpaiflltotaTollOro OOllel1ellllJl D Hlll
H C ae3HDltIITeJIlolll4olll JIl$IICalllUJOJ oKBWllleOJ 3ijrjJeDIIol 8
PHJIe Olt1JacTell ltampI91K11 eCL ltWIelQlX OT IIIIlqIOl8CTIIU 8 1lX DIII)O)shy
lteSoTBBl
B TO 1lt0 BjKIMR nOllJlTlt nepOHOjllllPYOloOcm B callO RllIlJlTOBol
eoPKH Donn DpHodpeTse Bee OnIbmee 3H8qeKHe KPBTep~ napeHOpshy
MlIpyelolOCTII CMIpeJ BIUIItyIgt 3SPMCT1Il801l1l poJIb npH KllaplOBOM
pIQ1111pelllll CT8Ul8j)11101 IIOJtGJD aJlCKTjlOOJIlld B91l1101ldcTBBI 8
B ltIXlJllmPOBaBllll lJOBSmIa nOKOJlOJIld ~01l01l B 1I0Bebu lICotoshy
IIOBlllUlJlX 110 loIOIIeJlJtIoI cYDepo0100JllDi91iW1 1I4e_ 06lYJ) CTpalell shy
qecJQD IUUIL nOCTpoeHJIJJ KB8HIoBOnoneBOI cxe oampbeJUn~el Bce
~orHpe ll3BIDIOIIeICTUIl nlltllllqAH rpalllllllJl3)J He OCUOBe cynepshy
ClIWOelPIIil ( TOmee cyneprpWIU01UlJt) 7peOOBalllle uopeHOIJdPYeshy
Onl IIlpoeT IIllllpa1IYII poJIb )a1tO He wtylalblo ITO OOJepshy
IWIRe llOHIlrHll nepeHOPMKpyealaquoJOTI HHOBh a BliOBt rJPJlBIlOltaeT llHHshy
MaJIiIe n eJlYlllX ~9I1KOB-TeopoTllXoB (Clot nnp upl34)
OPOJlllJlY1l8 YCTpoHOIIIUI yTjlI$OJIelOB pecxollllMOCTel Texshy
lIlIleCKli peCIJllIIlleTOR H8 l1B8 Tanll BCIJOJlaquo)IQTWIlgtIYII jXlIYIIRJllIshy
38U11J) II mAJlTaBlIe ClIHIYJUtplUlX BJCll8JtOB Te C06ClIJeHBO TIepeshy
HO~BIC)I 1l8lldOJlee eCTeCrBeHRol USCIo poryJIRpl3BUU1 061 shy
88H11eY B lIMJtyJl~CHOW nplOTp6HOTae Jler KO 8cco~ellUl c Hershy
JIJlIIIIOmiddot oaeplllllleJl paallllSKli ToqeIIHX 8CTIlU 11 UPOCTp8IICTIlashy
npoHII npll 3TOM n0JtP93YtceBaJIOCb 0 JlOlWJ[bltylgt IIllBHrOBYJl Tashy
OJlHll DOJIJi MOmIO IJpelCIBIWIIh ICAK IItWIeamp8lllBlI npelleJl1oHHA OJIYshy
181 UeaOJlt8AhHOft EoJIee JIelanHoe KccqeuOBmtlle nOK8~UDaeT I TlO
a~ KOIlItIIIIlIiII nOClleJtODSTeJIloIlO npoeOTH He Yl18eOK Bo91l11C8111
TPYlIHOCB C OOXp9119I1l1e CHMMOTPHI IJPKCYMBX ~O~LHOa KBnHTODOA
TeOPllil nOJlJI TBlO(l(lt8K ClUotlleTP OTHOCHTeJIhIIO Dpe06pasOIl8HJlI
(]y8HE8PO KWIlldpoBOIIIIIX npeoOpaaOll8llKI fl T D 3ro pa30Qapo1l1lB8shy
DlIBlI ~XI du OC03110l 1l0BOJlIgtIIO 11911110 - II KOIllD 4O-x roltOD
B0JI81tCTBHe oe1O K peryllltp3UIlI CT8JJI 01I0CRloCR ICAR K 4Jopromoloshy
HOMY TeXlIlIqeCKOgtry DJlIlewy lie lIliT9JlOIo 1II0IIIIT1o B Bee KBJallhllltOO
ltampIanee 8CCOIlll8Q11A HeKe1opoe BpeM raquoecloIIS nonyVIpaol B
JltlIOlrlOBOR lIJIenJXlltllllBgtCHKC (K3Jl) OWlO peryJIRJlII38lIBR llayJUI -
IIIIJIJtspcs 4JopllllllloHO OIlllJl8DllllOJ H8 IIOIJOJUDI DOOOWOl8TMIoshy
)We UOJl1I C KBaHT8iDI Ollew 6onmo1 HO ItOH8D101 MBCCll t odJIaaashy
lII0I K ~0Iq iIllItE$tllllO~ JlIlICO B ~x 6(x lO)lIX 10shy
KIIe noIJl HIlKWltiIX IjBslIecKIX 8CCOQIIBuaI lie llHS1IJlWOI H BOcnpHBIIshy
trmJ(BOL DlCTO 4Joplll8J1hHo Tuoe e O1H0Dl8HXe BWSYBWlB Tax HSS
BIIMlIT1ItacIaR poryJlJijllt3S11illl 5 0 TB npe)llloaelUlWi B naqMo
7(x 1OIIOB pa311llptlWl peryJlRJlIIBIUIII 6 T peryllBjllt3SIliUl B8-
IIllHeI[IlC~ tIlCJIa H3pelllll njlOcTpeIIOnelDlo-BpelllllDloro MlIoro06pashy
3l11li BIl He[lellOe tQlMO D - lj - E bull OTJDIIUlIIQe80S1 01 4 H8 6ec shy
OHelliO IIWIYJl B8IlIllI1Y
4
5
lOMO RlIIIOIO BCJJelUtJl perylUlpOlUlliWX ltjgteIluwOBOKlX
ntflerpanOB HBoTynatJl Olepel1b IDNII88lB ClDUyJJJlPHoClefl B BtNshy
TIUUll( BypueHAAX OOOTBeTBY1JIUft 08pBMeTp perYJlljllI3SIllII ( shy
nyuc o6peElKlIJl Ilt8cca layJl1l - Bwaplla A 1IlIB 6eC1ltOH8lHO
lJwA napn140Tp pnueploe poryJUtjlll31lIU11 f_~ 4- 1) YCTpeW-
JUlBTCSI K CBoe~ cfH3UQecKOUY 9RaleRBJ) ( 1 ~ OJ) pound 7 0 )
BomlUtaWlZe clfitllYJl1Jpmie B OTOU npeJeJle cnaraeMliC nponopIJKOshy
we CTeneflml bull ~orapli4JllaM I IIIlI CTeneRlllol BeJUDlHll C 1
BW7eJlImTCA ~ 3BTeJ( BlIlQJavCJ11 T e oldpaCiltaJlTCSJ 3Ta no 0shy
JleliJ1RR R1llfOonee cytIteCTDeUHaR onepa~ r4gtamp8T 61lTlgt ~pMa1Ik9oshy
lUlHB pa3JUlUIWMif nyTmm
06ll10 RonOJlb3ym onepallfO BBClleJmJl B acxo)lll1l lBlJl8HlIIIshy
BH T8K U83 IWllTPllJI6HOB T 9 llOnOJrnHTeJlDliIlX CJI8l8earuJ( I C CKJ(shy
rYJlJIjlHHMII lltOocfxl2llJ1eUTBJltlI (npoIloplijOllWlLltllMi A bull 1 II i e) lHiJI~ IroTOPllX noramam C1IHIYJlJlpHble COCfaBlIflDlWc MalpiPOillX
MeNeRIOB KakolO-JIll60 npH9411W4orO qmalPleCKOlO HCTOAJtOBalUUl
ouepllllJlH AJ)OBMellRll OBJUyJUtpmltx 1lt01trpltUleHOB nan no ynaeTCR
iny OTKPOOOHHO 4ltlJlM8lLHYI npolWJt)py 11)0 aaweHHTb liB llPyshy
rYJJ JICJlO 0 TOM lITO B npoCTpaHC1BelUIO- BpeMBlUIOM npenc9BJJeEDi~
npo6l YJIlgtT~OJIeTOB pnCXOJll)lOCTBlaquo nepeMelll8eTCJI IIll CBOshy
lOa WHYC I110 nponarnTOpI IllmKeJtWCpr3 - ~BH8 HIOIlIlT
OCOc1eHHOOTK no nepeWOIDIOa KDalij)8ra 4-ml1epn8JItl s aIE c a t L _ X 2 bull
nOCK~KY TfIIIIlUIO fOItr~ BHJlIWI)JlCJI ~Cpe3 npoHB811ellltJ nposhy
naraTopoB ~o npJIXO)lBTM 11 1l0ll0 c nponOOllelUWoQl nOll0611l1X
CllIIYJlRjlKOCTBa IallJlI1BP KlllllpIlTruG llwloTa~ lltpalUl
S(s ) C I4BTocwA TOUa 3peIM Opo ClIO)lBTCR
R 3QJlSQe onpelltlJlCH1IR onopelljl YMIlaaeUIR 0606l1leflHlD( W laquo OTBeTCTBYmmHA pe311W cospeWBllHoA TOMaTHKH BOHHK b 3O-x _
6
4O-x OJlax 78 6yllY B~3BBH K WI BClIQllbSOB8HHeM 06oeKshy
TOB TIIna llllJlbTa-4IYH1WIII n pa60rax no TOOpeTlllQOO1ltOft ljIIaHKe B
ooOOeHHO ~ooPHR pe4KXHBHorcKHX nGncl C 8ro TOlIIB apelWl opo6lellt8 YCTpallol1ll pacxo)tYlOOcTel
6HJa pecCUOIponn B Hall1Jle 5(x OllOD H H EolOJlll60BIIM II
OCIIBpaClflltOlA9 JlOK838JOIBlI loDI T9opOltR 0 C9pe1OppoBlltaX C ltOJlHoII
MaTSlIDlBlBcmA crporoCTDD HCliopmoaDQe pemaeT 3aIlQqy nOllYleJmJl
JltOlIellWX IIlPU8W1A AIU UTOB TpIt)l paCOIlJllUUl B paMlltBX
TOOjIIDI S03MY111eIlHl Oe3 OOpelllOHllJl KOuTpUeH8gtI PellOnTYjUlWi
ilion TeOplD EolOlJlCloBa - lIapecllKe TIIlI no R - onepalDlll
EoIOJlll60Ba 10 B TeHlle no~JIYIIIIiIX TpeX lloCllllL1lemA IIIWllT-
CJI npeKTabull bull c 1lt01 OCBOsoD Donyilllllllt 0)U03H1llHWt IIOHelfUlX pesY4IofSshy
TOB n nepoHOpwBpyewux KBaHTODOnaxoDux r8opaRX
3 bSaqaCItQB conef8Fme neOOHotJnmOD9K
TpIWllDIoHHUI B3rJlJlA us ~9lAOKOO cOllOJllllllDle TeJBllll8
IlaPOHOpmpomca HenocpeAcTBeHBO CM38H C oro ctIIiIcfOBWM 3Jtaqeshy
RHON 11 BOCXOPT X tJarl1UXWOl IIpeACTSBJIOlilUtM 0 tUlCTMU1lX oaeshy
JlPwoa TaM ILItl HlIHM B3aJ01OAOlcMlraquoeil WIloJDrttOJIlI nepeHOjIGJJOBJGl
ClLlInmam lOJtWe bull OllBfblemiddot 90SQOJOlll 411iSl(1eoJaIX napaare1poraquo t
TBfIXIJ JWK MaCOJi KOHC1EUffW OBll3H II H8KMOPliO APYnIO TaROI
ynJlOIIleHlllll B3rJUtJl 1l0ll0e llpeMll nOJUlOpDOllllCR nlWpo 1(311 Ile
~plJtIlUl101Ol8ll 4ltlPloCYJlllpona onop8lllll nepeHOBamppoBKII OCllonampJOol
Ha onepallD mAlITaHIlR II DIDJlltCHOM upoOfpBHOrBe cmo~CIl B
IWHelHO oqe~e It nepeoupellellOl I1~YI DB_OPOD - IIIIc ell II anshy
PlIlla lQpoHll
)ax BlilIICHDOCh BOOcu6J[OTIIJIK B ooeM cxyue He CJIllBCTUY6
OJQlOSlUICOI0ro COOamperCPBU YUJIl CXOJl(lDll IOOOII napBllMpashy
d BIOJllllUlO B JlarpauKlOJt oepeBOpMllpoBaHHlOla ozte~lOGI Beshy
7
114 poundRHruut I ltMetlIH1(H llenocpe1lOTnelUUlJ tPROlJJBCKB A CMlICJI r C no shy
IdOIIILIJ KOTOpux napsweTJlII3ylJlClIi peSYJUoUY IIUOICJleHBlI It HaGshy
JIIlIl8ewu H8 onUTe xnpnKlepilOTHRlI npolllCCOB HX B98111011elclBI1l
JloIe B 1l1lll00JlOe npoCT1l1o[ C alOJ TOiJll 3pellllJ yqse Il3lIrOBOI
3JIeKtpoJtllliJlMlUlamp pe3YJlhTSTU llUQIOJJoKllll B3IITlle B npoUBOIILHOI
ex nepeHOjlMHpoBlltI (lIaDplMgtP B OXeM p8Mllpuol nOpltlHOpomshy
poB) no nepeaOPMllpoBaHHUX Maceu H 88]l1lJ18 aneKfpoH8 CCgtshy
JlejlUT 98B11ClIIIOCTb OT JlOnOJIHHTeJUHoro 1I8jl8MO~p8 bull lIlleshy
ro pnMepllOOTb MIlcew Ta OOpso HBnplIMOP B Oe8118COOBOA
an8KTpoJIIIH8IIHICe (8 B YJlbTJl84gt1OJUTOBO peJlMe oOwIIIol RaJ
C MIlccol) 8 peynbTT rrpenOjlMlJpoBIIII B03Hl1a1eT P8PHUI neshy
paMeTp HlpaJIIUlA poIh MSaMa6a B BMJJYJILOHOM npoCTpoJtCHe Ushy
pnwep BHaors KOTOPOlCY HCT 11 HCXOQllOII J18rprulU8He ~HOH
CaMOnpoR3BOXLHOro D03HBKHOBeKBn p83MepHoro nSpBMeTpo n~~
H8BIlHIIe P821ejlllol TpIII CMYT8Il11J1
STopo XopollJO HBeCTHJilI H BeO1I8 nOyllJl~eJIhHH O)lgtUlBp clIJshy
988 0 lIOJIeJUd ncell0cIltlUJlpHoro II38IMDJlelO1IlIII ~PllBOHOB 1l1l8Bshy
ruroro tlUU1 8 pcayJlL1aTC nepoR0PMIpoIUtill 1) Hast C8UOnpoRrBOJILHO
B03J1BJt88T tOTaopH08 C8M0elormte ncelUtooKlllISlPuoro nWUl rapaKshy
TjWsywoe OIlOeI 0IlOTOHTOIl CM3H IoIoJl c OJUtO KOH08IITOI
CllIl 0 pe1J1IT8TO rrepeRopompoBlltlI JtpeB_eTCII B TeOJllll) C 1BYshy
WI ldeXaHJI3MWD1 B3WD1)AeAOTBBJI II ltBYMR He3aBlOJuDIMJ( KOHCIAHshy
Tmm CUJ3lt
EOJIee HOBYe O)lgtUlBJlII CBII38H1l C mIJIeJUle onOHWDlOro UlpyDlCshy
llllll COTjJIll R I$Il9KTO lurebull aneCL npoBCXOJUi TllIC1Ie 08shy
HUe c 4IraFl9cml lOqg 3peHKR JmJleHWI KBK uepell8lUl centS3lfl1eeshy
lltX CTenaHei c ooOalIl O ClltMJJjlIIoro nOllJl 1lI0pollODIO~ lIOKTOpshy
1I0~ DjllIOOpeTaDIlelCY COY It T n IN BIIee B BIJIY OUYSlIIIJl
KOrAS B OOUOBe Mexmhl9W1l cnOlltrumo~ HapYlJeHaR JIeu KBaHTOBWO
altWJcMTU III aech llllOonllTlln CHTYOllIUI D cwlUIPTuol MOJl8Jl1l
8
r
alonpo~JIB6oIO B38Jl1)JJolCrJlllJl rne B03HBJlt8e~ B0311lKROCTh
P63JU1lDlOIO BY60PQ xaprurrepzCHK I nottBepr8DlDlXQR He38BBClIMlBI
npeHoJlMllpoDKrult 881160gt100 8kOpellQllJltaIl OIlfYIlIIIII ncgt-_~
DeBT MBOlO B 180PO ClIIIABOro B38lMOJtslclDIH B flO BpeM8 lall[
ROXOlWlll ClI8JI1OlIOXPO~CKlIII Jl8lJl8HIIII811 COllpoT I18ce
JCBaPlU)B B Orutty JCBapK-rJJgtOHBoro B bull lleIClT1Wl bullbull1I6JmJtsshy
T8JlJolllla )l8lIHIlte n8jl8M01jWymCJl qepes XBj)aIlIePlOTIlltII 8JlpoHOB
TSKIIII 001011 B 06111011 ClJtYIII OOOBe~01BBe M8lIlly napaMelshy
paM ICXOrHoro Jmrp8HZlamp8RB 11 KOuelDllDlll B~ I lICDotbajshy
e )WI OlOloaHllH ommlllX )awmx JIIIJIJIOrOJl BeC 0II0J1H1ll1
lUlU 18 KBleCtllBHHOII ypoBile B 8l01 cuyslIIJI aporu napeHOpshy
MRPOBlQl B006~e roBOpst OKa3llB8eTCR lI68JJe1CB81KIDI K8JQ111-J[160
laCllORlD( ODOpalIllJDamp r CBOARmIIMCR K aaWSHomm UOpMllPOBOK MIlca
3S]lIIIIOB It llOIeBWl onepnTOJlHIiX ojlyHIWII ampra CIIQeT BOcnpmllshy
Marl 60J1ee onOOPellCTDOBatUIO I teaK nPOllBltJPJ YCT8lI01)J[(UUUJ OOOTshy
BOTCTBJUi eJIIJy BOXO_ a8TPlIO_ USjlIIII6TpBIII JlarpaHshy
_a I ~lIIeOKllllJ RSBBlIOIIIWIB bullbullCIIOJI]SYruGiIIII JInst nSpeMeTJlIIshy
S8UD peYJllgtT8TOB IIHIIICJleH1lA B H1l6JrlU[sellllX BeJDIIIIIJ
4 Pa3MepKM lpaHCKYl811M I peHOPl4IWJIna
fispwleTp IUUWI fI bull B09~K8IIUlI B npoUllcce ITOpeHOP-
MBPOBIOf C tBCIO MPTOM8ftlleCIQ)I TOIIDI SpeHIUI lie nepBllI B3r1AJl
Ds-BOJDrr It ~onOJJlmrwrHoR oJlHonsJlBIIIHplReoB01 CTottOJiB caoOOshy
JlW a no cJllleeTBY K 803Hl1JQ10BOHBIl nOBOI CBOBOOpssHOI ClIIiIJlIIII
JlEB8IIlel B oeHoBe peHojllllWl38IOl0HHoA rpynnw nOT nOjl8Mop
DpellCT8BJlleT coOoA HOMgtellllelllll Qpe3Blll8bo II8IIlHJI C ~IIcgtshy
Kat OllCl 3POIIWI bull 8Tpl6y npoUllAYlII DepeBopoGpoBJOl B 3QCJIylQIshy
Bae ocoOaro oOcyqOKJU bull
9
IIpexzte Bcero C--leltYeT YCTaHOBHTb ero qJH3HlIe CKlli OMHCJr
HauOOJi08 npoCTO aTO 1KlZH0 onen8TL Ha MaTepHaJIB n epeHOJllDpoBKB
J8paIl8 B tcBaH7OBO~ 3JlBKTpoJlHnaMilJte aTe nepeHOpMHpoBKa B Citshy
~y T~eCTna Yopno ~HOM Onpe~HeTCR nepeHopMXpoBKO~ ~TORshy
noro nponaraTOpB DPHqeM npoJiJSBOJI B 1lli6ope )tOPMllPOBKH noCJIeJtshy
Hem nOJUlOCfLm nepeHOClItCJl Ha era HUBllpH8HTHIlI 4-mmyucRUI
8 PlbJHT e H8 lOoUIYJIbO ~Toaa S38mCJ9itMgyDllero C 3JlBRfPOshy
HOM 4Iinrqecxoo 06cyQ8HB8 RBl60JIBB BlleKBaTHO TIPOBOIJBTCJI 0
IOJlOJIL30BaHlleM peHopriIpyrmoBoro nofUffHJi XHBB_pH8HrHOro (lm81fe
acentoIIoKTlIBROro WI1 6oI)1llom ) 3aPJlJtB TpoHa ~e 4YHlltIl)UI d (Q ) OIlllCT UlleHelDle C HiDlyJILCOM ( a ee JIIIJUIWlIIIKll cliypreshy
06pal1 lt (~) C paccTOaHIeM) ~Ia 3aJlWl BJIeRTpoJUl
CaM qntcr BD3fiKKBon8Hllll TBKDft 3 8lmClIWO Ql1l BIIee DI CTa KBaRtOBYr
rrpapoItY OHa 0lBei8eT ~KTY tl8CTRIQI01 8KpwnrPOBKl sapsmn aJJCJIshy
paM 33 OtleT npoueCCOB DOJ1HPZ3llJlHl B8KYYJW OBOzvmBXCJI K
BHPTYalhHoA ~CCoQlaUlB ~ToHa-npo6HflRn Ha BJIeRTpoH-n03KTpoOHH9
nspu
KaqeCT~eHHO 3BBilOitMQCTb ex OT l Rs o6paK8H8 ceNe ttcT -
BOM KjnnlWX lUi pHC 1 lltaaJlBH K(IIJl8I OOOTBeTOTByeT 1lO3Ml11tOlij
nOBCll8HHD a4JPekHDltoro aapsma no HMOKBfUU YCJfOBHJl COOTneTshy
OBB8 C l3 rCplleMLDI H8 OIlHe sn6tteKilcM 98pattB aJIeKlPORa4 MlAshy
HO alO YCJlOBlle H~ II mme ( O J = 113 Te liDOshy
IUIT OllllO iIlHQJlO HeRO I lITO B 60l1ec o6utQW CJITlse ~BR K3 KPlflUIX
llB pRO I IOgtItlT OIiJL OlllJOH8IHO onpelleJIelUl roqa aa WlOCKOCshy
~H ( IQI bull clt ) Te ]IOOpsHa ny roM aaJl8Hllll tIlyx ttBpaMe POO
f II CI TaIt1JM 06p8SOM lITO ( fo(t) ex l bull C 01 0
TOlKll ap91l1JJ1 nBpIUI8p IIKWIJI t bull B03HEXA~ B npouocce
10
ncpenOJlUHPOBltR eC~lI npoclO fODYmi 4- mmyJIltCD qoTOJW iJcnorushy
3yeMOlO All11 H~MOpe-HBB a8ptUta R eliO OrCrJItSl I iTO BOl1lJ1Ol0Delme
HOllOm ( no CpIlBH8l11D 0 KJIBOOJlcCKIDlt arpaHlDBHoM) IUlpallltlTpa
lJHslJIIecKB CliR3rulO C ilopexonoM K KDaHTOOOJq paccP60rpemm n HO
C ClHlyJIIIJlHll x DpalITepo YJlLTplcjiIOJIeTOllWX lIKJI8JIOll ~ IX nepeHOIgtshy
IltIlPOBtlt8Ml1
TaJltHM oOpaaoM ~OIlOJlHflTeUlildl ttBpaMeTP ( n oOllle CJI)Iqae
KX Jlaquo)IeT 6111amp HecJ(anMto) eon pe3ynLlllT nepcxosa OI CHc1eMl
JUlBCCB-qecKltX 1l000el OIIlCIlBB9)lJ( HCXOmWM JIarpaHZH3JiOM I R 0001-
EeTOT~~Oa KBaHTOB02 3~~e B 06~M ~e XOPOWO H3BeCTHO
1flO tJepexolt Ol Maccn8CYOSi OHOTeMU It KBaHTOOOA He JIlUEFlOlCSl
otUto~nwttHWl O)tHol KJtaoOJ1l8CwA CBC1ewe DOO6lIlc tOBOpR t OTBCshy
ise Hs60p ( IIOgtlaquolT OWU Oec1ltOHelUlI) IltB8HTOBWlt CJOTelol Boop
M~ HII11 paOye BlelleRIIH II ~CIlPOBaHll1l HCKOTOpHX lI0nOJlIDlshy
TeJILHHX MpaMelpoB ~a MlIen eoaxOuH1 It 113BeCTIlllY eUCKtl3ll1lllJ1HJIM
flIunCB Bops I3~ llJIIBC_ K ~pMYJIlpoBj(e npwma lI01l0JllIlrmshy
HOCtH a ~8JrJlD ltpiDpoundDlIIIa JJU[hHOOlB Hx 0YTraquo CO CTOZ1 n TOM CiTO
JWI nOJllloft onellllltmltnlllJll KllaHTOBOI CIIOTe IICOOXO)DlMO 38Jt1~L ee
llampBKpoCKOUHlfeCROe Olltpyampetale tl Ie Y Ra38TL rIBKpoOKOnRtJeCKBe
npHOopu 11 YCJIOBtUI pellllSl JIMrulo 01111 II X8paIlTOjlHaymcq llOshy
nOlIHJlTBJI napaMeTpaNII
OllllWCO pou napruoeTpa mRaJIU He 1I0QepllIiBaTcn Kult
daxo O~MeqeHO BUma OR nPHBO~T K cy~ecTUOBafiHI) peHOpMrpynnH
llM TOm ToOu npoQllItII~b COOTBCTCTBYIII(YIl orallY paccY1IIIeJllI
BeJlH8MC11 H pHc 1 bull ~OnyClKM 0 DU60p ommll 113 RpHDlIX npoll3shy
BelleH YOJIOIJBew d r~~ i ) = at ~ ITO JIYeell ~BJlO C 6031180Coshy
BOI Ollllos9JlfW101 ~jlHl HanpHMBp 6eocoooll MeKTpo)lllll1lMRshy
1lt01 PIgtBlTl1IllIlt 9a~ tgtallO Tcnop Opa~CraBlIb 11 lllIJle ltiYJultIllII
11
(0)
oil -- - -_ -rI _L
1)1 _ _ ~ _ __
_ ~ 1
Y Q
PHe I Ka~eeTBeHHaff BaBleBMOCTb ~K~Oro aa~
OT IIIIII1J1]C8 Q B K3JI 1000Bll8 Clt (r l ~ r ~epI8~ SHOOp o~oa 3 D090QIBHX KpEBHX
(Q )
012 ~ - - -shy -shy
)J1QJlI
lIIe 2 b CIWI XplUl8Jl 0 (Q) -0 dim pxcpo_ 001 IUj)OI ( C( r ) T8Jt 1TOO1i a(N lt1
IloIlllODOCU nepoXQM OT OJDIol napoKBIJlI188ll1111
( 0 I 1 ) It JUlyrol ( 1 ) 06Jl1181~ lol1lleClt1 OCH081 POBOJlllllU8IIllIIDllHOI rpynnw
u
lillY Oeapo3MepWX a pl)jleIiToB Qfl bull 0 T e 381ll1shy
CSTgt B lIIlIe j (~i o(~ ) ilpil TaKO BlJle 381ll1eB CJo1UeT gtleTt
B BIJI3 0 napa ( ( 01 raquo COOTeeTCT Jm60a 01llte
rae a6paRHol KpaDOl PaO~~TpBM Terrep_ onepoUBD nepoxoAa OT
oJljoA rrBPW U8UpllMep (tlt 01 ) K lIPyroD ( i~ oiL )
JI_al Ha Toll a OSMOl KpmlOl - eM pHe 2 lICHO TO ~lIj1II
OllCliB8DItI1I JltpwHYII _aT Olin epa y enexoM n apallOTpil3088IUI
It8K OlCliOl lIB BlIX Tal H JlPYIOst HIwMB CJIOBaMll JJOJlampfIO HweT h
Me CTO paBe HCTBO C( qJ- ~I )(lQlti~ i a ) rlle Ol8mutHO
= ( (I (~ ~ ) bull KoMII1HIPYJI nWllellHIle COOTHOnlellJUl npilshy
XOADI K UTBOIIY ~01l8llbll01O) ypoBllOl1Dl IIJH ~KMOIltOro
aajlQB
[(X olt) = (yen~Z(traquo)
3To ypaBHeoe t M it II ere 06061ll8HBS1 un 60Jtee CJlOKlwe OJIYqae
~SKHT B CCHOB8HKB M8~K8~ecKOro annapB~8 MeTOna ponopuaAasashy
QlOllHol rpyIIIIi npoACTBBIJIJI coOol ~PlYJBPOBl) eDOleTBa lt1YlUltshy
QlOHallOA SBTQMOJlMbHOeH 11lt1 BoIee nonyJUlpBoe ABifgtilepeHQl8Jl1rshy
aoe ypaBHSlU1e DQQWlT 9 HelO npo AII~poHUllpoBlIIIlIe
OrIIe~ lTD DplllO)l8HB8JI gtAeo) noq peCCYIIlIellllft l BUshy
BOA ypBBHaHBJI OWlll anep8llIlBIIH B padOTo Eo1OD16osa bull IIIIpRXgt-
Ba 1I5 uellto BOCXOlUlllO K 1III0HepOllOi po6OTe llTIIlteJlb(lepshy
18 B DepIoIlII8 IIG C AP11OI C~POHII qeeHHaff 1lt8pBHB
JI B OOHOBa BSlIOCHOI po60U Ieu-Mamllhloy 117 DpolOAJIshy
~ K 8lQDtMJleKTIIlOl YpaBBeRllBM beer BeObMi8 ourmoe pSJIlIecltOe
COlleJampWt1IIe KaJc 810 oc06elDlo SlCKO liB 06cyqeHIUI IlPBBeAeHHoro
B IIe B OCHOse MOl JalPfIlHH OUT npe)leTIIIIIOKlle 0 Ha60po
HWl01lBJ1LHJa nJlll6JJBaeBd K JlO bHO IltSaIlTOBOI WleltlpoJXIHIUIIlJttl
llt8ampl1oe bullbull JltOropux 1oI1X8T Owu xaPOJlII90ll8ll0 )lIUIJIYOOII po
13
bull
elttpo R B OKTJlKOCIQDI S8Pf1110 e TIlJOIO pBM3lBl1lOIO
OKlPOHa Upc06pl30B8lllle DtmIlII8lIeHTHOe peHO)lIapyunOBOlIY_shy
HO npellCTaBHTL c060 JltlK nopcXOll OT OJIHOI HMOK8ll1gtllO annpoKshy
ClUi8DHl1 K JUlyro8 TaIaDI 06pa90 D OTJlFIIe OT DJlllrllll3l0IW1Il10ro
DOCTpoelllll pcHO]raquoltlpynna Iou-IlruUUl bull oymiddot eCT lpymta Upc06shy
paO 8IltYTp IIlIOaeCTD8 HeJOJlt8JgtBHX MOJleJlO K31I lUellllo OHa
BeCbMB po(CTBCHHa panopcrpynne BKAbooHa s CrBTlCrlflleoKol
qm31lJ(e rAe COCT8lIJlilJIIIlle nMPPYrmy npe06pa3oBpoundllllllr COOTom D
K8JUlHOBClltOM KpyIIHBKill aJIeWDBIfapHWX IDlltpooJtOI1lIIIeoJOlX 6JloJtOamp
aanpawep dnoKOB OllHHOBUX peweToR
5 rtpHH1lM1J R1UHtyewocTH
Bo3DpaIllastC R np(llJlKlD1aJ1nol CaPOHO onepa1Ulll nepcllojIIGIshy
POBKII KOTOpan 06 C)IJI1laJIBCh llliIIIe 1l KOlIUIgt pa31leJl8 3 3811eHll
1TO B CBeTa npoelleKHHX TaM npmtopoB Calm oD0101BO noponoptJlshy
~CMDC~H MOampe~ 6HTb paccMOTpeao C Honoa TOqxH 3POKaR
06_ JlOIBRY pacO)lJl1lCIDtII M CTa DO JUlDy y r Jlo lllallshy
TOBYI 31lJ18IY BSlIlIIOOllelCTBlIJI OM DlUDIlI ITO aeuePaHOpoOpyeshy
MOCTL 3KBHBanC~Ba HBB03MOODOOTH nOCTpoeRKK ~oBOnonoBOI
IOOJleJI1I C JtWIIIHlI LUlXIlIIJISIok) B381Do1OIlelcIBIlJI noJIel Up llsrJlJUle
o l8JltOI no31lUlU omuLBBDTCSI paBHonpanRHM gtttenll qeTYpex4Jepaashy
OHllOlO B38H1OOIleAcBKR ~pMH H neeDllOBORTopHOro B38BMOJleICTBIR
DlUUill I Do aae IC)a6Ih ttC8BAOCJQI4SlPHOro DlUiBOXOlO lJ381D1OIlelcfshy
BlUI ( a OllHoR JIOHOIBHlOI OWlllII T o He conpoDOQaellWl npJDIHII
DII0H-IIIOllllHlol B381Do1OJlelcTBHe ) a llt8JIlI6poBOUIWI Iok)IlWDo onposhy
CJl811oro D8lDClllOaOTBIR JIOIIIOHOB ( a UeOKOMneHCftpollllHHHllll Wloshy
1IIlDJDoIII) Bee u 1ok)1I8J1lO 08 Iok)ryT 611Th ~O a RORIlX-060
nOCJIeJtOBaTenhltHX IG8JlTOJUlX 180131 IlOIJl K8K COOfBeCBYD1Ol8 dacshy
e90om (VIllI OJIYlWlOCHIOCIQe) uptlJlMll
14
Teueph MOIRO laTh npoOTYI ~PlIYJIlO POBKY nplllUUlt1Ill KMJIshy
-ryOYlCTR 3aMCHHDIlero CBOlcTBO nepeHopcapyeYlClH
- D oopu pcJUUIIllJICTCKlIX nMea CJle)lyeT paCCMSpD8TL
()(aampe no M aCCqOCKO y poBIIC ) lOJIKO T lUte 1AOIlllJlll H axaHllSw
B3 QDK)DeicrBM llOJ1 e bull bull ROOjlHe )to nyCKBm nOCJlelOB8TeJlhJtoe tmaHshy
lonoe pBCOMOlpeUJle I T e f8Jtf(JJT(U( M9CCWQecfGOOI WUlJlOI8MJf
llI(yTpclDle llenpOTlIlIOpcltllllWC OIQHfOBOnWleDIlX IOOlleJle~
6 Pon KDalITODIIX IlJIHHllJIIIOD
06paTllMCH Tenep R POJIll JalIIHTOBllX np(lllllIIJoD D IjJo(lloGlPODashy
IlIltgtI CODPCWloro 06Jllut8 JIII1IHTODOI TeOplIJI nltWI lanOMHIIII BOshy
nCPBla liTO yse B B8tWJe 50-x roADH 6WlO OC03ll8lfO lTD B
oTJlIfllJe OT KBaHTOBOI waXlUcaq I IAO IlJOpquPOUJW uUlsam B38HWOshy
IlelCTIllIJI Ilrumol COBOI)lIJlOCTil qs= llonycROel DDellelUle CooTshy
llO1CTDYUllelO OICJlO npoH3JlOJ111WC ~IKlIIIlI (nOTeIlQIIWlOB) B TOshy
pu KD8ITOllWC nMeil npoa300Jl B JlarjlllHDaHe B381l11OJleI~8KJ ltliKshy
capoBllllHOI CHoTew none orp8HllonmaeTClI netloJrbllllll HMOM ROII shy
CTaHT BSWDIgtJteiClBU KBaHTOBaSl T90PKSl nOJlJI He ItOrrY0Ka8T nposhy
B3BO1gtBHX IjgtyHHI1Jlt qTO JIlWieTCH OJIellCTlUIeli YOJIOBHR nepaHOjlMHshy
pyeMOCTIl
CeJQeT OIII8TIdlb lTO nepOOJ18lMltHO aTO CDOstOlBO npenshy
CTaBlIJlJlOCb CJlu6w MOOW JmQHToao1 TeOpml DWUI OBJ3poundlHHla( C
HecoBe~eHcTao Jlo CrYlfHKl TOrll8 Teope1H IeClQtx MelOItOB D ne~
lyIl oqepelllgt WlTOIl8 Teopo D03lIYIIeHKA ll]lWllt8X RC)TOpol II oposhy
BO)lU80 U800Jl4ltJt8lll11 n epeIlOplolllpy0MgtCTH B nponaonMltWIO~
alOIQ cnyor a 20 JIe-T CBOICTBO n epeHOPKIIPYOMDCH I KBJI01eHliOe
B BHIle Tpe60Mlllll IIOJlIllllllllilllll4 SllollaJDlJl ClllJlWo 0YIIICC1IIOIurym
15
JlOll1gt ) nOC1poeHl1 O7WUlBpTBOI IO)Aegtl 8lIeRrpoaJta611X B9IlKlolleRCTshy
IlHI B B cjJopMnJlOBIIKlt1I nOHlinJi noKOJIelWl qpMIIOHOB B lBOTOIIshy
~ee BpeMH npeJttr8BJtflDTCJI H8C011HotttlHll lJTO ot1llTHHe llatDtWO no
OJsO MeRrpoalllTIIHIoI B CULIIliM BWDIOAelcT1IIIDoI ryT 0111gt
orut08HLl llaquo)JlJf1lectB8H110 c noYOlllU) nopeuopmpycMllX ltB8IftOBOnoueshy
DIIX IIOAenel
CMbullbull IIDJ1Y paIllIOOI KOH07aJlT8MII BSIIIDlgtAeAorBIlII yOtampshy
IUlllJIIllQl)ICII npllIUlJmOIl JlOIIBJILIIOI 1ltaIIlI6poooltltoft CIIlIITlI ( J(](C)
I~llKe II nOJlllol pe Oilll ocjJopOJlJlPOBaR ija91lOKIII
npmllllll B 1954 r llHroll 1 IMJlOOII ROtopHe H8 ero 0080ue BB8JIB
HOBIliI MIl00 cawoAolOrnyDaIIX BeRTOpIllX peiIImDllI07ClQIX UOiIeR
H83JmaellllX Tonepb R8JI1IOPOBOlHllllB nOJllllll BJIJI nOJlllllll Ru18 - IIIIJIshy
)lea 3tlt nOJlB nollODK) OBOBX B1ryTpeHHHX ODOI~B CBSI30lDDJX c
HMIIIleluoonlgt CB060)lllllX ypmlHeHd _eHlll qllfeJlgtllH 0
TOIJO 3peHBII JIX B38K11OAeAOTIJIII C IUlYnDUI nllMllH MilllllJlanHoe
B3I11111OAelofllJle llt8JUlOPOIlOIIIoro nOllJl C UOJIJDUI ~eplDl O)lllOIUIIIIO
no cjJoJlllO bull xBpeneIll3Y0l0II o)llloll KOSOrBlI101 OBRbullbullbull B CJf1UI8
noaOeneBB nltWI Tn ae 08II8Jl KOIIOtWlttB lIXOJIII B ltaJlJlHollml
OHH CBOOO)lllOl YJl8lIIIeHBII nOllJl
K JtOJUlY O-X nlJtOB BWlCiWJOOb ~o Ppound fOUKO aJl8KTPOMarshy
1lIIlHHIl )o TaJalO OIIaOIiQ II CUlgtHliO BaJec~ OopeROshy
CJI K8J[JJOpollOIItIOII BeftOlIJAII nQJlJlloOl BCJI8)CTBHe qero II IIlJlCTB8
B38J111D)1e1OrBy-IIIIJOt Kll8lITOBUX nOJlol Ollpe)16J1J1n1tYl) poftb IUpam
BOOro 1pIl KORCTBKTII OlllllB BRe paYOR 011 CTpollROIl bullbullKOBO
Bol K8pTBHH 007801011 IlOnpoo 0 KBWlTOIlOI TOP rPBBBT81U11l
3ltecamp o1XJ8JtO ncRBlUlWCb 1it CJIlOOtDeIDlO OKP8nu as uocneJtHK8
lOJ1II BIIA_ OBn8lllOl 0 oyn~BpII81 (CtCH)
16
Kax llaoeCTHo CyCIt c_eT MegtIIl 00601 qaC~ c U8JIIIIIJI
B nOJlJ1lemD4lf CIIHK8MB (TOuee - KBaHlOlUIG nOJUl no~eQII
lt10- II gtBJNII-IIpeCftlBOIlOtIIUII COOfBOEBBlIII) UOAOOSO I0Il1 K8lI
rptnmlt lUI11peHHeI OBIIIIB~pIDl I181JlIII8P IlSM0IDII80K0ft OBIIUlUlam
ltPT C JQgtYIOM UCIiWY C OJ[KB8XOllDOl COIBS Jl 6na3lUllO M8QC8MI
O)lllBXD eye n JIBJUIOTClI BlI)lpeRHoB o aPoaA a npe)1CTIUW8T
co6oll ooo6oe p8CIlIIlpelle ClMIeTpHIl COO1BBTCTByuJlel rpynn U--
IUlpe 310 olto6J1leHBe OIIITOe 198 1lt8 7O-x ro)108 npeJ1llOJlllshy
ra paCIDpB 4-oIepeoro DjlOClpBHO 1mult0BCJltoro 10 middotcynapshy
UPOCfpBHOTB8 KOTOpoe H8Jl1lA1 c o6IlIIIIIIIII UPOOTplJllTJBIIID-Ilpeshy
MBHmDCI KOOPJDlH8T8MJI COABJlIllT JlODWlHHTB4bHHO CIIJDIOptW8 8HTIIKOIIIshy
iIlTIPYJJIDe lIeJU1 oo6oil c qpom-llOJllllll 1tOOp1lllHamplW - 1BIt Haa
06paBIDJIjIO 8neOpu IpeCCIIIIH8 ifmleltcOil paaJJBpeHBII cynepcTshy
pHIl DP~ TaI IIIl3IIll6llT ~oe ~IICJ10 IV I8l108 TO IIICJlO CI1lIll0Pshy
HIiX rpacCollBHoJlllX OdPB9)IICBX _ 0 2N bull B Jgt8IIIl cye 1I181l1OIIIIe
UOampJI rpynnJlp)lltCJI no 0PBIIcf8amplle rptnmlt C-C npeoltlpasoJl8l1BI
OOpllBYIl COltnBBTCTBJDIIlB IIJJlIIUOTII coc~bullbullbull 001 pIISJ1lRshy
IDIX CUJlBOB IUIR UeJIJU BIt bull OaJlyIl8J111l[ (aqO - cynepnWJJI)
BoeAcTBl6 8~OPO cCa YOTABAfIBA8T uPOCTHU CBRUB we~
kOHOTaM ll38JIIIO)telcTBIVl HOKOTOpol OOIlylII00Tll 60samp- H gtBpshy
lIII-oOJIoI 06pas-DIIoA cynopnOJI 1k~8110lilUtll CTPYIIT)pu D8POHOPshy
POSOII jlIUIIl CyCw lOO)1e~el 8118 B cepelllJfgt 70-1 lOJIOIl IILIIWIO jlIUl
38MOi8eJlhRIU OOcTORTelhCTB OILaaaJlOCh ITO B l8KIQ MOAIUJa
UCTO OPOIllWlOTCII TOBJellllBll K COKpeu811111l peCltOIDOCTB aw 06I18P1UHIi 1I0)1emJ lBrpBJmIAI B38IDIollelcnaJi TOpIX ltllA1U
npa)1C~8MeHII qOp8B DOJLII OOPBB1JIIIII8 cynojllOJlil IIIIpIIlIIlIITCII C1llshy
Mol OUlOHOII IUllUUltI lIS TOpIX rpe01B lI1I6HBR 080K0Henu KOIlty-
lUI8HOB QIH8xo npB nOJeWDl C1llllll BUllJlOIl lUWHOlO nopllJlKll
110 J OT HOe CllllIfUUAlXampfUp6HDBHll O)UlSwa88TWl IlOCT8TOUBIIl
HeltSoJJtoro uam KOHrPU8HOB He l18pJEWIIIIX 0YIlOPCHMMUT)lUD
17
OcuomISR wacca KQHTJU8UOBpaaeHlDlX lapes lICOOT1ULllRllllBe- cyshy
nelllYTHI1Je~ nOJlJlt ItOMDeH0Ilpy8T APYl APyra lneo~ 0Ita3WJla8TCII
DO~ lIIYDpClBllllgt II]l8BIIJIlI ~1BII8Ba HlmOOpOAO~B8RBO JlIJI
OynBpIOrid Ecn npoBeCTK 0URC8IIHW8 BlUCJ18lW1 no oynepnpanrraM
~_ ~O ltOllllleBOIIY~eCR peOXO1lllraquoDcmI Be B0811l11Q111r 1ClO6ae
loo ~~ _aT SBeOUJ IICOJlIII80K1Jgt 8IaJIOIHD 1I0000e OOSshy
IIIIJWI KOIIIUI ~ 101108 KOB8PIf4IIHOI eopllll BO~ B ItOshy
Cpol HUll bull 8B1III401lllll B BIIpTyamIIIU OOOOIIIWIX OJIJII 061ampshy
JDlHeBil B a_a upooar8OjlII mTUlt806epra - ~1JDmBa OIIoUUOOL
qO CMmen pampCI()lIIJIOCft Co60T1eHHol Bepro 3Jl8JtfpClll4 bull KaJ
nOHIBBA8CL C ~1B01 110 40rap~8cxol
lIaadoJIe M C 4gto01lleOlltol 10 Bp8Bll11 lDWDllCII up8p11
nomoA 1UlIIlJ1ilI08IDIII paogto~1 B 881t010pili CnellDlIMX IIlQJlUIIX
Pen IIJlOT 0 IlD 1oIOIl1WIX pacup8aaol (II gtI) C)Clt 00Il~shyIIIIIX oaO IltampIUI6pClBOIHIl1 n()lll B ItOIOpili BLIIIJIIiI n shy
IIluco B nep8BopllllpClBll1 1lQII0T8BIII 0l1li8amp bull TOlBOCTII kOIIIJelloPJ-
Dr _ OIIIIJIOpiIIIX DoJeI IIIlTIIJIIII Dpil STOW 0ItM 8 tCS ITO
np nDCIBAOMTOOI flBTe CyCa 118 n~ n ex Clampshy
ad T e npJI 1I0001ln10l6JDlI OJUBpiIp8BILl hlJDmBa bull l0lppaA8Ogtshy
ue p8OX~fi npClllUampOpoB bull BOpGHgtltIX ltI1HIltIUlI IlOTOpliB DPII
n OJtQIiIII0H8STJIKI BiAlCteDU OaamplIWBaIJIrml BI8WHO CHONIIBHCHPODEUUWM1t
raquo n epe80JlDPOJ1K8 ~ I ll6 BOIIlDADT 1IOa08
l8uII 06pa_ UCIIfIOBil cepJ88B110 JPI8IIU U DO_OOTlo
C1lOHOMIDIlI IIIc1o1w101O CD CUllUT8IlIIIa 1IOJteu1 IOIltIIIJshy
Hoi DBlItOBOI TeOPU DOampIl bull ~puaI npCl~CT~ cmo-
6oDIa Ot JnTp84aOTOBDl paoxo~l
lJoIOORIlte ~ IoIOrrr JDlIlUCII TeopeT1A801lO1 00801101 T6amp01O
-ug- OOteunVWB ~IM Quel - OJD8~elDUl
up IlOTOpCM B o6IaOfi OOll1OlBO 00amp1[[ lIJIoprd 0GEWltB0IJII8JI
derJIIILIIa sIIIIUDIIU IIOBOTRBTa 0111811 1i n epaollu 6uau 18
T e MeRRT hCg c A8AhUe~ POCTOM 3HeprHH H ORa3WDaBTCH paeshy
HOi3 HeMoOpoA KOHcrrurre d I K01oprut ClOOtlet(ttByel umshy
cNUIte Ctlll9l OrosmteA B AarpaHIJUme B UpaltT1J1l0CKHX RH3JltoaRe~
lO-TJIt[e cJQtX mABOJIOJOUlX J llB4BHMe poundmCCH DOJlHolO 06~eJtK]teHlUl
lllltOIyoae1 B lCjljleKTHBHOro HMDyJILCB 06peaIHI C OqlUl 3pcshy
mt1J TSQOC BllnICJIellHR 13KJ1QD JOtsrpawc co cacpxTJmelllaQl BlPlYMb-
1lJ1MH qOCTHUStm IwpmeHCHpYlJmMH paCXODlIMOCFU JIelfCHX JDJorpor_
MOSHO paCCMaTPlIBaTL IWR cDOco6pa3UYU luntepuarri3~lJrJl mrXOB
fiaYJIH - BKuapoa 11 bull
YAh1JXMIH0JI9TOBWB paCXOlDlJrNgtCTiJ lUjClYIl81JT UP 8lorrd trotlt
napOJRTHUO 34cento It1U I c ootseTCTDyxqae HU 41nute ltMfI a KCKYCCTshy
BemtO D03JWKlmte BCJI9Qc rBB9 aecoBepmeRCTBa TpamlUROHHOro MSTOshy
Ila BCOJOAOllnllllJl pIIsIleJUlDl(ero eJlllwij oynepollMWltpoDlJtli JlarpeHshy
Daamiddot aa HeCHMUeTPlfIlllLB clJsraeMJie KOTOpLl9 He nep80M 3Tane u-cshy
eJlOIlllllHll paCCPHllnIIICR OTIlOJlJolIO AP11 OT JlP11A
YnoltodJUl MlIp aaeMelitBptll(X B3WMOlteilCTmrst LUlCTlUt lS 3JD1UJOU
Base C Wl8BlllOOl ~poltruIH lUIII O 8TYO 6onzmu p8POD II lIIw-Ka- CM9tOBaTWUI - rmrMeD KOrOpWl OfKWlHB8eT 0 1 BB3l KyCOlBK
H YHocn B Jla60JlllTOJllW lIIJl aHaJlBQ lnpe HOKOopoe llpeMfl OR
maal Doe od OroH1OM IIIYOKe R flHielO 0 cOOYJe 11 LtBJ[OM npl(
arrOM 01tJU1Iro KPOMO TpartJflUWlona Jlt160plTOpiUlX CpcoOTll It 060shy
PYAOBBHHR MY nOTpeOOBaAHOb TaKEe Bon sara B 6HHH lIIJl Jleqeshy
HRJI nope30B JUi py lQU 01 OCfPUX KpnCD OCKOJIKQB na3u PacxOMshy
MOCTH I KOUrpueHli peryJUlPH38llID1- B03111lU10 TaJCKe K8 uymw
Jt1Ul noHlIlampUDlll KaprHHW B3antOACIClDHII n llCJlOM t KaK He ftYnu MOshy
DK1lt8MBH1U DJlH BOOJleltoB8JUll1 ueJIolt B83b1
fioCJIBl(OllDlOJlblU1R ytt01 TpaX KDturrOHllX CHfIo1ft-TjllI1l COQfBOIshy
C1BYIllUdl IllC XPOHOJIOIVIeCkOlo) nOJlllJlKY HCnQJh30BllBIDl lIlt)JteT OllTh
npenC1~eH B BIlJlO IlODOJlbllO crpollHoro PfIIln
19
1 IIepexoA OJ lltBIIHoBOI IIOXaKJtICJl R DepeRO~pyelOJR _shy
TOBOR TeOpm DOJIJI ( yln npllJUWUl 1Dl) njllIBQJl K tOtq 110 BBllSH
lIYHlWBORM1gtlI01O npo9BO110 X8pa~DJlIYlO noeJl1DtWIIJlol ijJyrutshy
JSol t WY nanylpoundllm JIJIm 1l000P OpB3BOJ1bHHX DOClOJUIllla - ltOHCfSHr
CM3R
2 yqe D]lIIlUUI8 IKC 0 meJIellBo Ilt8lIlWPOIlOIIUO OMO
D]IIIDOJlIIT P yctBHollJlellllJl eMol ( B npoCTellma CIIJlwtl paBONeB)
~ ROHCTaDT 838JOOJAelcTBItII ASHHOlO 1WllI6pollOIIUl1O nltlJlJi
deg n pD
J Ieno_o nplIHlUIIIB eyea BBOJIa 8IIome OnplUl8JI8ll1Di
1l860pu ooeTOlIIIIe gaR lI3 60 aK 3 4eplOl-DOJlel (eynepshy
tqJUTlWlelll) SIIIDIDAea01BllJI lltOOplll[ ODBeWlSllCJI ollllllODellKol
IltOHOURO eM bullbull bull
liaKoaOD OpeACT8IWIOlCJI BeeWOi eMlJAlWOl neponelmlllS
eI1O aTona
4 liaJIOlIlHle pe60B8IIIB eBDplIllepoHoplOlP1elOJ01II ( nPKHIUIll
CIDl DOHIIIIIIOa 10 YeJlOBBO oayTeTllllll YJIgtTJl84DI~OT08HX paoshy
lroJ1)llllce B 1I01I8lIJD( oollo)ll8UX paClrOAJDS)01II no 4oJlMlJlHIN
n~3HaKaM C~eTQ cTonoHol D~e H ax npoKaBO~ D ~Qrp8HKRQ-
He) DJlI 3aA111HO 9118qemm emma Yl8CtBYUIIIIX lSOTBl1 4aultCllpye
CYDepc_pIIIllYD 1OO1leu nMIlI8I OTO erwl p8BItII)I JtIIY)I DMYshy
SO lIane AOOTII OJtlIOIlH8lHOlO ollJlC8llllS po B31l111OJAelCTBlll 1tB8lIshy
bull 0BlIX 000 B o611B011l )lOCT8tOIII0 BWoo Keprlll
Tew C8IIIDI B09111Oamp8O ns HllIIIIX rJJ83U H8qm8H OcyJleCTlllUftshy
C8 M81fT9 alHll1elJta naee laquolew n0JIYB8KOBOI JUlBHOCft bull bullbull bull MY
XOTD He TOJIlgtIltO HOn 18K y01poell8 OpllPOAB ( II npcllCXOJlllt
trpIlpoJDtHB JmeHU) r 80 bull 00 803MIlampHOOH llOOTW1b ~ llaquo)Se1 6Y1ltl
YlODBlecbullbull ApaROI 18 II1I)I - YBHBU noqetq Il)aPOAB lIIWI8CJI
ftMOHRO lalltOl a He lJJYtol2I bull
20
KaJt YSI OTMIlQaOClgt IICO qeH njllUDlKIlll - 1IlI IIKC eye cmr - no coool DptfponG RBImrOa HltaHMmuat TaR KBY JllR HX
ltIxgt ptqUPOBKl HOo6xo_ lltoro KIJ8HIOBIlt nOHllTlIR
DOIDmIe ltfJa3H 8OJOIoooI ltfJYHKUIII R He33BHellMOeTH OT Hee H86shy
AI11taOMWC BeAMRIi
nOHJIIRO 0 paSJIiltOlllX KB8ltlOBUX ClOTilcmuwx B 0 (1030- H
~JlIIll-l1l4IlX
OOlurroe deg nponcxotlllellltll bull CTPYKTYpc YJJJgtpaqmMOlOBWlt pocshy
XOJDlllaquo)CTeA B IQlaJITOIlOA TCOpllll UOIUI bull 0 II]lIlllllAYpe nepellopltl1polgtshy
til bull
Kwt Mll y6~ltWDCL nOCJI9JlOMlCJI1dIOe lUl[J0JI30BQUlle 3TUI
KBaliTOBW DpIIJillHUOB BBObullbullbull MOOIIYll Jtere_CTHcelYll O1pyn B
up KBWl1OBUX SlMeHB KOlOpwt II OCHOBe cnoel nO)tlHUen CTBTJlCTHshy
qeOKlDt 38SOHOlampePUOCTfDII
JlnepaTYpa
1 IilJlPKOlI I(l SW 1983 H 1063-1072
2 JljpaJ [[AM UpJllUDlJlW ItBlUrroBOI MBXIUlHIOI Iayxa II bullbull I~9
c 4(13 1Jy1I tdl3JIItJI JueprooT0I0III9JIIT M 19I13 0 4G
J tSooft G Phyenalao R~port s 1Q84 1]1 1~_I)~
4 Nnmbu y Ph61 cft Ne~ort8 1994 l2 2)7- 8
5 Gultat50n T Arkl v ( Watb 4strJys 1)46 )A 2 t
Spbullbull B R JllalhlIl7obullbull1968 l bull 1404
6 tJtloort Q VeltallUl)l Nuol Fhyens t 1972 i1 J131
7 CoOoJlo C n ila7c c60plllUt 1936 T ~ c 39
6 Sailwllrll L Tb1 rr Itl8 ltt1Itrlbutlo41IAlnDd Poria 1950
9 SoIWlllOOD lUI nape OC 1957 Ao a _h lZ 227
21
10 Bor0JID60B HB R IIJIpKOB nB BBeJ(eHHe Jl TeoPIJll KBIIJlTOBaHBHX
nonea U3Q3-sBayxa M IIrn6 ~ 113ll4-et Hayxa N 1$4
sectsect 2930 11 Coleman So Weinberg I Phybullbull Royo D 1973 ~ 1888-191 0
12 fiIlp Il Il H Jij) lB 1982 T 35 c 1221
13 Bop U Pbybullbull Rbullbullbull 1935 ~ p 696-702 DopeBOll COl ihlJoo Bop 1l00)lOJlHlie Tp)tll T2 HayRa M bull bull 197I oIB(-I91 Bop U lIa6paH1Dle Tp)tll ~ 2 11ayKa 101 19710526-532
14 Shirkov D V In onlineAl and Turbul ent ProaOS888 in Pb1 shySampgd R Z HampMrood AcadPubl II Y81 cmiddot vol bull bull eI bull
1964 p 16)71 IlAII CCCP 1982 263 c 64-67
15 Bor0JID6oB HR bull mwpKOJl nB bull IlAH OCCP 1955 ~ 103 o al3-al6
16 Biuok~bra EC Peterann A HelyPhTbullbull Aot 1953 y~ p 49~520
17 Gell-aampDn a Lo_ 7 PbJbullbull lev 1954 v~ p 1)00-1)
lS W1180n X aev MOdb7ao 19BJ 22 p 58)-599
19 r OJlloltlgtUUt IlA Ilnu Bn n0l0IIIIl B J)iqI 19I 13 452
20 Parkbullbull A and wbullbull t P bya Let t 1984 v ~ p 99-104
21 31bmTeIJ 1 0 cOIIIUeHHOM OOCTOIIBIIl ~eoP nam - COOp HBrUI TPJIlOB T~ HayJca Yo 1966 c245
PyxOUlC OOCl)1IIWI B H bull lM9JIlocKHll OTlleJI
9 OKI86p~ 1985 rollB
22
bull
W~DK08 aB P2-85-729 KBaHTOB~e np~H~~n~ 80 B3a~MOaeHCT8~~X none~
B80A~TC~ nOH~THe KsaHT080iO np~HUHna KaK npHH~Hna npH OOpM ynHpO BKe KOshy
Topo r o c~ecT8eHHO Hc nOnb3y~Tc~ KBaHTOB~e npeACTaaneHHA H cneUH~H~eCKHe KBaHTOB~e nO~THR Pacc~aTPH8aeTCA ponb Tpex TaKHX n pHHUHnOB
npHHUHna nepeHopHHpyeHocT H HH a4e - KsaHTyeMOC t H - npHHUHna noKanbHoM KanH6poe04HOH cHHHeTpHH - nplo HlI lo1 nA cynepcH_eTp IoH1
B pa3SK TH H K8aHTOBOH TeopHH no~ B CBA3K C nepeWM 1013 3THX npHHUHnoe aHan]H py~ l CR eop-nbHaR CTopoMa CH 3H4eCKOC COAep~HHe npo ue AYPW ncpcHopHHpo eOK 8 KTn ee C8A3 b ~ HanH~HpoundM ynbTpacentHonCTOBWX p aC XOAHHOCTeM H pe HOPMr pynnoH n p HH UH n nepeHOOHHpyeMOcTH OOPMynHPyeMWM KaK rpe60aHHe c~eCTBoeaHHA BHyT shypeHH e HenpoTH Bope wHaOM Ka~TOBO~ epc~~ A~HHO~ ~~eJ~ B3aHHoAe~cTHM non~
oKa3BaeTC~ 3KBHBaneM THhUoI YCI108HO KII3 HTyCHOC TW nH K IIHrOBOC T~I nCUC83aHO ~TO noc~AOaTenbMoe B HCTo~~eCKOH nnaMe kcnonb 308aH~e Tpex KBaHToswx np~I ILllolnOA Dce 60nee orpilM~4H9aeT B03 MOlliHbH AHlfUMo14 eC tue Mex3HH3MbI 83aHMO shyAe~cT8H~ KBaHTOB~X noneK
P~60Ta awnonHeHa B fla60paToDHH Teope TH4e~KOM ~H3HKH OHRH
(JpenpttMT OI5be[lMHVDloro ICC1MTYTa JIIAepx MCcaeao A ilYe 198)
bullnepeaoA a lTopa
Shi rkoy DV P2 -85-729 Quan t um Pri nciples in Field In t e r actions
The concep t of quant um pri nc iple is introduced as a pri nc iple the forshymu lat ion of which is ba sed o n specific qun lu~ Ideas and notions ~e consi shyder t hrae of such princip l ~s
- the princ ip le o f quant izab i lity - t he principl e of local gauge s~etry
- the princ ip le of supersymrnrlry and their role in devel o ptlen t of the quantuo fie l d theory (QFT) Concern ilW the Fi r st o f them we ana lyze forma l aspect s and phy~lca l contents of the rcshyno~ll z4t ion procedure in QFT its relation to ultraviolet dlYergences dnd the renona-grou p The renonmallzabl li ty property formul ated as an eX i stenCe coRd i l ion of self-consistent quantum ve rsi on Wllh a ]iveh mechanl5lll of the f ield interactIon turns OIt to be equivalent to quantizab i lityl t i s ~ howo t holt the consecutlye from a hls torl c~d porflt of v i ew uie of these qtJantuln prlncip l e~ pull ~ tl l l IQrger II~ i t~t i on5 on pOs~ibla fonms of field lnt~shyract lon~
Tht illvnSlif)alion tws ~en performed a t the Labor4llory o f Theoreti cal Phy 5Ir~ JIHA
Prlrdnl or 1-1141 J oi nt Inetitute fo r trucler b rch flubna 1985
lOMO RlIIIOIO BCJJelUtJl perylUlpOlUlliWX ltjgteIluwOBOKlX
ntflerpanOB HBoTynatJl Olepel1b IDNII88lB ClDUyJJJlPHoClefl B BtNshy
TIUUll( BypueHAAX OOOTBeTBY1JIUft 08pBMeTp perYJlljllI3SIllII ( shy
nyuc o6peElKlIJl Ilt8cca layJl1l - Bwaplla A 1IlIB 6eC1ltOH8lHO
lJwA napn140Tp pnueploe poryJUtjlll31lIU11 f_~ 4- 1) YCTpeW-
JUlBTCSI K CBoe~ cfH3UQecKOUY 9RaleRBJ) ( 1 ~ OJ) pound 7 0 )
BomlUtaWlZe clfitllYJl1Jpmie B OTOU npeJeJle cnaraeMliC nponopIJKOshy
we CTeneflml bull ~orapli4JllaM I IIIlI CTeneRlllol BeJUDlHll C 1
BW7eJlImTCA ~ 3BTeJ( BlIlQJavCJ11 T e oldpaCiltaJlTCSJ 3Ta no 0shy
JleliJ1RR R1llfOonee cytIteCTDeUHaR onepa~ r4gtamp8T 61lTlgt ~pMa1Ik9oshy
lUlHB pa3JUlUIWMif nyTmm
06ll10 RonOJlb3ym onepallfO BBClleJmJl B acxo)lll1l lBlJl8HlIIIshy
BH T8K U83 IWllTPllJI6HOB T 9 llOnOJrnHTeJlDliIlX CJI8l8earuJ( I C CKJ(shy
rYJlJIjlHHMII lltOocfxl2llJ1eUTBJltlI (npoIloplijOllWlLltllMi A bull 1 II i e) lHiJI~ IroTOPllX noramam C1IHIYJlJlpHble COCfaBlIflDlWc MalpiPOillX
MeNeRIOB KakolO-JIll60 npH9411W4orO qmalPleCKOlO HCTOAJtOBalUUl
ouepllllJlH AJ)OBMellRll OBJUyJUtpmltx 1lt01trpltUleHOB nan no ynaeTCR
iny OTKPOOOHHO 4ltlJlM8lLHYI npolWJt)py 11)0 aaweHHTb liB llPyshy
rYJJ JICJlO 0 TOM lITO B npoCTpaHC1BelUIO- BpeMBlUIOM npenc9BJJeEDi~
npo6l YJIlgtT~OJIeTOB pnCXOJll)lOCTBlaquo nepeMelll8eTCJI IIll CBOshy
lOa WHYC I110 nponarnTOpI IllmKeJtWCpr3 - ~BH8 HIOIlIlT
OCOc1eHHOOTK no nepeWOIDIOa KDalij)8ra 4-ml1epn8JItl s aIE c a t L _ X 2 bull
nOCK~KY TfIIIIlUIO fOItr~ BHJlIWI)JlCJI ~Cpe3 npoHB811ellltJ nposhy
naraTopoB ~o npJIXO)lBTM 11 1l0ll0 c nponOOllelUWoQl nOll0611l1X
CllIIYJlRjlKOCTBa IallJlI1BP KlllllpIlTruG llwloTa~ lltpalUl
S(s ) C I4BTocwA TOUa 3peIM Opo ClIO)lBTCR
R 3QJlSQe onpelltlJlCH1IR onopelljl YMIlaaeUIR 0606l1leflHlD( W laquo OTBeTCTBYmmHA pe311W cospeWBllHoA TOMaTHKH BOHHK b 3O-x _
6
4O-x OJlax 78 6yllY B~3BBH K WI BClIQllbSOB8HHeM 06oeKshy
TOB TIIna llllJlbTa-4IYH1WIII n pa60rax no TOOpeTlllQOO1ltOft ljIIaHKe B
ooOOeHHO ~ooPHR pe4KXHBHorcKHX nGncl C 8ro TOlIIB apelWl opo6lellt8 YCTpallol1ll pacxo)tYlOOcTel
6HJa pecCUOIponn B Hall1Jle 5(x OllOD H H EolOJlll60BIIM II
OCIIBpaClflltOlA9 JlOK838JOIBlI loDI T9opOltR 0 C9pe1OppoBlltaX C ltOJlHoII
MaTSlIDlBlBcmA crporoCTDD HCliopmoaDQe pemaeT 3aIlQqy nOllYleJmJl
JltOlIellWX IIlPU8W1A AIU UTOB TpIt)l paCOIlJllUUl B paMlltBX
TOOjIIDI S03MY111eIlHl Oe3 OOpelllOHllJl KOuTpUeH8gtI PellOnTYjUlWi
ilion TeOplD EolOlJlCloBa - lIapecllKe TIIlI no R - onepalDlll
EoIOJlll60Ba 10 B TeHlle no~JIYIIIIiIX TpeX lloCllllL1lemA IIIWllT-
CJI npeKTabull bull c 1lt01 OCBOsoD Donyilllllllt 0)U03H1llHWt IIOHelfUlX pesY4IofSshy
TOB n nepoHOpwBpyewux KBaHTODOnaxoDux r8opaRX
3 bSaqaCItQB conef8Fme neOOHotJnmOD9K
TpIWllDIoHHUI B3rJlJlA us ~9lAOKOO cOllOJllllllDle TeJBllll8
IlaPOHOpmpomca HenocpeAcTBeHBO CM38H C oro ctIIiIcfOBWM 3Jtaqeshy
RHON 11 BOCXOPT X tJarl1UXWOl IIpeACTSBJIOlilUtM 0 tUlCTMU1lX oaeshy
JlPwoa TaM ILItl HlIHM B3aJ01OAOlcMlraquoeil WIloJDrttOJIlI nepeHOjIGJJOBJGl
ClLlInmam lOJtWe bull OllBfblemiddot 90SQOJOlll 411iSl(1eoJaIX napaare1poraquo t
TBfIXIJ JWK MaCOJi KOHC1EUffW OBll3H II H8KMOPliO APYnIO TaROI
ynJlOIIleHlllll B3rJUtJl 1l0ll0e llpeMll nOJUlOpDOllllCR nlWpo 1(311 Ile
~plJtIlUl101Ol8ll 4ltlPloCYJlllpona onop8lllll nepeHOBamppoBKII OCllonampJOol
Ha onepallD mAlITaHIlR II DIDJlltCHOM upoOfpBHOrBe cmo~CIl B
IWHelHO oqe~e It nepeoupellellOl I1~YI DB_OPOD - IIIIc ell II anshy
PlIlla lQpoHll
)ax BlilIICHDOCh BOOcu6J[OTIIJIK B ooeM cxyue He CJIllBCTUY6
OJQlOSlUICOI0ro COOamperCPBU YUJIl CXOJl(lDll IOOOII napBllMpashy
d BIOJllllUlO B JlarpauKlOJt oepeBOpMllpoBaHHlOla ozte~lOGI Beshy
7
114 poundRHruut I ltMetlIH1(H llenocpe1lOTnelUUlJ tPROlJJBCKB A CMlICJI r C no shy
IdOIIILIJ KOTOpux napsweTJlII3ylJlClIi peSYJUoUY IIUOICJleHBlI It HaGshy
JIIlIl8ewu H8 onUTe xnpnKlepilOTHRlI npolllCCOB HX B98111011elclBI1l
JloIe B 1l1lll00JlOe npoCT1l1o[ C alOJ TOiJll 3pellllJ yqse Il3lIrOBOI
3JIeKtpoJtllliJlMlUlamp pe3YJlhTSTU llUQIOJJoKllll B3IITlle B npoUBOIILHOI
ex nepeHOjlMHpoBlltI (lIaDplMgtP B OXeM p8Mllpuol nOpltlHOpomshy
poB) no nepeaOPMllpoBaHHUX Maceu H 88]l1lJ18 aneKfpoH8 CCgtshy
JlejlUT 98B11ClIIIOCTb OT JlOnOJIHHTeJUHoro 1I8jl8MO~p8 bull lIlleshy
ro pnMepllOOTb MIlcew Ta OOpso HBnplIMOP B Oe8118COOBOA
an8KTpoJIIIH8IIHICe (8 B YJlbTJl84gt1OJUTOBO peJlMe oOwIIIol RaJ
C MIlccol) 8 peynbTT rrpenOjlMlJpoBIIII B03Hl1a1eT P8PHUI neshy
paMeTp HlpaJIIUlA poIh MSaMa6a B BMJJYJILOHOM npoCTpoJtCHe Ushy
pnwep BHaors KOTOPOlCY HCT 11 HCXOQllOII J18rprulU8He ~HOH
CaMOnpoR3BOXLHOro D03HBKHOBeKBn p83MepHoro nSpBMeTpo n~~
H8BIlHIIe P821ejlllol TpIII CMYT8Il11J1
STopo XopollJO HBeCTHJilI H BeO1I8 nOyllJl~eJIhHH O)lgtUlBp clIJshy
988 0 lIOJIeJUd ncell0cIltlUJlpHoro II38IMDJlelO1IlIII ~PllBOHOB 1l1l8Bshy
ruroro tlUU1 8 pcayJlL1aTC nepoR0PMIpoIUtill 1) Hast C8UOnpoRrBOJILHO
B03J1BJt88T tOTaopH08 C8M0elormte ncelUtooKlllISlPuoro nWUl rapaKshy
TjWsywoe OIlOeI 0IlOTOHTOIl CM3H IoIoJl c OJUtO KOH08IITOI
CllIl 0 pe1J1IT8TO rrepeRopompoBlltlI JtpeB_eTCII B TeOJllll) C 1BYshy
WI ldeXaHJI3MWD1 B3WD1)AeAOTBBJI II ltBYMR He3aBlOJuDIMJ( KOHCIAHshy
Tmm CUJ3lt
EOJIee HOBYe O)lgtUlBJlII CBII38H1l C mIJIeJUle onOHWDlOro UlpyDlCshy
llllll COTjJIll R I$Il9KTO lurebull aneCL npoBCXOJUi TllIC1Ie 08shy
HUe c 4IraFl9cml lOqg 3peHKR JmJleHWI KBK uepell8lUl centS3lfl1eeshy
lltX CTenaHei c ooOalIl O ClltMJJjlIIoro nOllJl 1lI0pollODIO~ lIOKTOpshy
1I0~ DjllIOOpeTaDIlelCY COY It T n IN BIIee B BIJIY OUYSlIIIJl
KOrAS B OOUOBe Mexmhl9W1l cnOlltrumo~ HapYlJeHaR JIeu KBaHTOBWO
altWJcMTU III aech llllOonllTlln CHTYOllIUI D cwlUIPTuol MOJl8Jl1l
8
r
alonpo~JIB6oIO B38Jl1)JJolCrJlllJl rne B03HBJlt8e~ B0311lKROCTh
P63JU1lDlOIO BY60PQ xaprurrepzCHK I nottBepr8DlDlXQR He38BBClIMlBI
npeHoJlMllpoDKrult 881160gt100 8kOpellQllJltaIl OIlfYIlIIIII ncgt-_~
DeBT MBOlO B 180PO ClIIIABOro B38lMOJtslclDIH B flO BpeM8 lall[
ROXOlWlll ClI8JI1OlIOXPO~CKlIII Jl8lJl8HIIII811 COllpoT I18ce
JCBaPlU)B B Orutty JCBapK-rJJgtOHBoro B bull lleIClT1Wl bullbull1I6JmJtsshy
T8JlJolllla )l8lIHIlte n8jl8M01jWymCJl qepes XBj)aIlIePlOTIlltII 8JlpoHOB
TSKIIII 001011 B 06111011 ClJtYIII OOOBe~01BBe M8lIlly napaMelshy
paM ICXOrHoro Jmrp8HZlamp8RB 11 KOuelDllDlll B~ I lICDotbajshy
e )WI OlOloaHllH ommlllX )awmx JIIIJIJIOrOJl BeC 0II0J1H1ll1
lUlU 18 KBleCtllBHHOII ypoBile B 8l01 cuyslIIJI aporu napeHOpshy
MRPOBlQl B006~e roBOpst OKa3llB8eTCR lI68JJe1CB81KIDI K8JQ111-J[160
laCllORlD( ODOpalIllJDamp r CBOARmIIMCR K aaWSHomm UOpMllPOBOK MIlca
3S]lIIIIOB It llOIeBWl onepnTOJlHIiX ojlyHIWII ampra CIIQeT BOcnpmllshy
Marl 60J1ee onOOPellCTDOBatUIO I teaK nPOllBltJPJ YCT8lI01)J[(UUUJ OOOTshy
BOTCTBJUi eJIIJy BOXO_ a8TPlIO_ USjlIIII6TpBIII JlarpaHshy
_a I ~lIIeOKllllJ RSBBlIOIIIWIB bullbullCIIOJI]SYruGiIIII JInst nSpeMeTJlIIshy
S8UD peYJllgtT8TOB IIHIIICJleH1lA B H1l6JrlU[sellllX BeJDIIIIIJ
4 Pa3MepKM lpaHCKYl811M I peHOPl4IWJIna
fispwleTp IUUWI fI bull B09~K8IIUlI B npoUllcce ITOpeHOP-
MBPOBIOf C tBCIO MPTOM8ftlleCIQ)I TOIIDI SpeHIUI lie nepBllI B3r1AJl
Ds-BOJDrr It ~onOJJlmrwrHoR oJlHonsJlBIIIHplReoB01 CTottOJiB caoOOshy
JlW a no cJllleeTBY K 803Hl1JQ10BOHBIl nOBOI CBOBOOpssHOI ClIIiIJlIIII
JlEB8IIlel B oeHoBe peHojllllWl38IOl0HHoA rpynnw nOT nOjl8Mop
DpellCT8BJlleT coOoA HOMgtellllelllll Qpe3Blll8bo II8IIlHJI C ~IIcgtshy
Kat OllCl 3POIIWI bull 8Tpl6y npoUllAYlII DepeBopoGpoBJOl B 3QCJIylQIshy
Bae ocoOaro oOcyqOKJU bull
9
IIpexzte Bcero C--leltYeT YCTaHOBHTb ero qJH3HlIe CKlli OMHCJr
HauOOJi08 npoCTO aTO 1KlZH0 onen8TL Ha MaTepHaJIB n epeHOJllDpoBKB
J8paIl8 B tcBaH7OBO~ 3JlBKTpoJlHnaMilJte aTe nepeHOpMHpoBKa B Citshy
~y T~eCTna Yopno ~HOM Onpe~HeTCR nepeHopMXpoBKO~ ~TORshy
noro nponaraTOpB DPHqeM npoJiJSBOJI B 1lli6ope )tOPMllPOBKH noCJIeJtshy
Hem nOJUlOCfLm nepeHOClItCJl Ha era HUBllpH8HTHIlI 4-mmyucRUI
8 PlbJHT e H8 lOoUIYJIbO ~Toaa S38mCJ9itMgyDllero C 3JlBRfPOshy
HOM 4Iinrqecxoo 06cyQ8HB8 RBl60JIBB BlleKBaTHO TIPOBOIJBTCJI 0
IOJlOJIL30BaHlleM peHopriIpyrmoBoro nofUffHJi XHBB_pH8HrHOro (lm81fe
acentoIIoKTlIBROro WI1 6oI)1llom ) 3aPJlJtB TpoHa ~e 4YHlltIl)UI d (Q ) OIlllCT UlleHelDle C HiDlyJILCOM ( a ee JIIIJUIWlIIIKll cliypreshy
06pal1 lt (~) C paccTOaHIeM) ~Ia 3aJlWl BJIeRTpoJUl
CaM qntcr BD3fiKKBon8Hllll TBKDft 3 8lmClIWO Ql1l BIIee DI CTa KBaRtOBYr
rrpapoItY OHa 0lBei8eT ~KTY tl8CTRIQI01 8KpwnrPOBKl sapsmn aJJCJIshy
paM 33 OtleT npoueCCOB DOJ1HPZ3llJlHl B8KYYJW OBOzvmBXCJI K
BHPTYalhHoA ~CCoQlaUlB ~ToHa-npo6HflRn Ha BJIeRTpoH-n03KTpoOHH9
nspu
KaqeCT~eHHO 3BBilOitMQCTb ex OT l Rs o6paK8H8 ceNe ttcT -
BOM KjnnlWX lUi pHC 1 lltaaJlBH K(IIJl8I OOOTBeTOTByeT 1lO3Ml11tOlij
nOBCll8HHD a4JPekHDltoro aapsma no HMOKBfUU YCJfOBHJl COOTneTshy
OBB8 C l3 rCplleMLDI H8 OIlHe sn6tteKilcM 98pattB aJIeKlPORa4 MlAshy
HO alO YCJlOBlle H~ II mme ( O J = 113 Te liDOshy
IUIT OllllO iIlHQJlO HeRO I lITO B 60l1ec o6utQW CJITlse ~BR K3 KPlflUIX
llB pRO I IOgtItlT OIiJL OlllJOH8IHO onpelleJIelUl roqa aa WlOCKOCshy
~H ( IQI bull clt ) Te ]IOOpsHa ny roM aaJl8Hllll tIlyx ttBpaMe POO
f II CI TaIt1JM 06p8SOM lITO ( fo(t) ex l bull C 01 0
TOlKll ap91l1JJ1 nBpIUI8p IIKWIJI t bull B03HEXA~ B npouocce
10
ncpenOJlUHPOBltR eC~lI npoclO fODYmi 4- mmyJIltCD qoTOJW iJcnorushy
3yeMOlO All11 H~MOpe-HBB a8ptUta R eliO OrCrJItSl I iTO BOl1lJ1Ol0Delme
HOllOm ( no CpIlBH8l11D 0 KJIBOOJlcCKIDlt arpaHlDBHoM) IUlpallltlTpa
lJHslJIIecKB CliR3rulO C ilopexonoM K KDaHTOOOJq paccP60rpemm n HO
C ClHlyJIIIJlHll x DpalITepo YJlLTplcjiIOJIeTOllWX lIKJI8JIOll ~ IX nepeHOIgtshy
IltIlPOBtlt8Ml1
TaJltHM oOpaaoM ~OIlOJlHflTeUlildl ttBpaMeTP ( n oOllle CJI)Iqae
KX Jlaquo)IeT 6111amp HecJ(anMto) eon pe3ynLlllT nepcxosa OI CHc1eMl
JUlBCCB-qecKltX 1l000el OIIlCIlBB9)lJ( HCXOmWM JIarpaHZH3JiOM I R 0001-
EeTOT~~Oa KBaHTOB02 3~~e B 06~M ~e XOPOWO H3BeCTHO
1flO tJepexolt Ol Maccn8CYOSi OHOTeMU It KBaHTOOOA He JIlUEFlOlCSl
otUto~nwttHWl O)tHol KJtaoOJ1l8CwA CBC1ewe DOO6lIlc tOBOpR t OTBCshy
ise Hs60p ( IIOgtlaquolT OWU Oec1ltOHelUlI) IltB8HTOBWlt CJOTelol Boop
M~ HII11 paOye BlelleRIIH II ~CIlPOBaHll1l HCKOTOpHX lI0nOJlIDlshy
TeJILHHX MpaMelpoB ~a MlIen eoaxOuH1 It 113BeCTIlllY eUCKtl3ll1lllJ1HJIM
flIunCB Bops I3~ llJIIBC_ K ~pMYJIlpoBj(e npwma lI01l0JllIlrmshy
HOCtH a ~8JrJlD ltpiDpoundDlIIIa JJU[hHOOlB Hx 0YTraquo CO CTOZ1 n TOM CiTO
JWI nOJllloft onellllltmltnlllJll KllaHTOBOI CIIOTe IICOOXO)DlMO 38Jt1~L ee
llampBKpoCKOUHlfeCROe Olltpyampetale tl Ie Y Ra38TL rIBKpoOKOnRtJeCKBe
npHOopu 11 YCJIOBtUI pellllSl JIMrulo 01111 II X8paIlTOjlHaymcq llOshy
nOlIHJlTBJI napaMeTpaNII
OllllWCO pou napruoeTpa mRaJIU He 1I0QepllIiBaTcn Kult
daxo O~MeqeHO BUma OR nPHBO~T K cy~ecTUOBafiHI) peHOpMrpynnH
llM TOm ToOu npoQllItII~b COOTBCTCTBYIII(YIl orallY paccY1IIIeJllI
BeJlH8MC11 H pHc 1 bull ~OnyClKM 0 DU60p ommll 113 RpHDlIX npoll3shy
BelleH YOJIOIJBew d r~~ i ) = at ~ ITO JIYeell ~BJlO C 6031180Coshy
BOI Ollllos9JlfW101 ~jlHl HanpHMBp 6eocoooll MeKTpo)lllll1lMRshy
1lt01 PIgtBlTl1IllIlt 9a~ tgtallO Tcnop Opa~CraBlIb 11 lllIJle ltiYJultIllII
11
(0)
oil -- - -_ -rI _L
1)1 _ _ ~ _ __
_ ~ 1
Y Q
PHe I Ka~eeTBeHHaff BaBleBMOCTb ~K~Oro aa~
OT IIIIII1J1]C8 Q B K3JI 1000Bll8 Clt (r l ~ r ~epI8~ SHOOp o~oa 3 D090QIBHX KpEBHX
(Q )
012 ~ - - -shy -shy
)J1QJlI
lIIe 2 b CIWI XplUl8Jl 0 (Q) -0 dim pxcpo_ 001 IUj)OI ( C( r ) T8Jt 1TOO1i a(N lt1
IloIlllODOCU nepoXQM OT OJDIol napoKBIJlI188ll1111
( 0 I 1 ) It JUlyrol ( 1 ) 06Jl1181~ lol1lleClt1 OCH081 POBOJlllllU8IIllIIDllHOI rpynnw
u
lillY Oeapo3MepWX a pl)jleIiToB Qfl bull 0 T e 381ll1shy
CSTgt B lIIlIe j (~i o(~ ) ilpil TaKO BlJle 381ll1eB CJo1UeT gtleTt
B BIJI3 0 napa ( ( 01 raquo COOTeeTCT Jm60a 01llte
rae a6paRHol KpaDOl PaO~~TpBM Terrep_ onepoUBD nepoxoAa OT
oJljoA rrBPW U8UpllMep (tlt 01 ) K lIPyroD ( i~ oiL )
JI_al Ha Toll a OSMOl KpmlOl - eM pHe 2 lICHO TO ~lIj1II
OllCliB8DItI1I JltpwHYII _aT Olin epa y enexoM n apallOTpil3088IUI
It8K OlCliOl lIB BlIX Tal H JlPYIOst HIwMB CJIOBaMll JJOJlampfIO HweT h
Me CTO paBe HCTBO C( qJ- ~I )(lQlti~ i a ) rlle Ol8mutHO
= ( (I (~ ~ ) bull KoMII1HIPYJI nWllellHIle COOTHOnlellJUl npilshy
XOADI K UTBOIIY ~01l8llbll01O) ypoBllOl1Dl IIJH ~KMOIltOro
aajlQB
[(X olt) = (yen~Z(traquo)
3To ypaBHeoe t M it II ere 06061ll8HBS1 un 60Jtee CJlOKlwe OJIYqae
~SKHT B CCHOB8HKB M8~K8~ecKOro annapB~8 MeTOna ponopuaAasashy
QlOllHol rpyIIIIi npoACTBBIJIJI coOol ~PlYJBPOBl) eDOleTBa lt1YlUltshy
QlOHallOA SBTQMOJlMbHOeH 11lt1 BoIee nonyJUlpBoe ABifgtilepeHQl8Jl1rshy
aoe ypaBHSlU1e DQQWlT 9 HelO npo AII~poHUllpoBlIIIlIe
OrIIe~ lTD DplllO)l8HB8JI gtAeo) noq peCCYIIlIellllft l BUshy
BOA ypBBHaHBJI OWlll anep8llIlBIIH B padOTo Eo1OD16osa bull IIIIpRXgt-
Ba 1I5 uellto BOCXOlUlllO K 1III0HepOllOi po6OTe llTIIlteJlb(lepshy
18 B DepIoIlII8 IIG C AP11OI C~POHII qeeHHaff 1lt8pBHB
JI B OOHOBa BSlIOCHOI po60U Ieu-Mamllhloy 117 DpolOAJIshy
~ K 8lQDtMJleKTIIlOl YpaBBeRllBM beer BeObMi8 ourmoe pSJIlIecltOe
COlleJampWt1IIe KaJc 810 oc06elDlo SlCKO liB 06cyqeHIUI IlPBBeAeHHoro
B IIe B OCHOse MOl JalPfIlHH OUT npe)leTIIIIIOKlle 0 Ha60po
HWl01lBJ1LHJa nJlll6JJBaeBd K JlO bHO IltSaIlTOBOI WleltlpoJXIHIUIIlJttl
llt8ampl1oe bullbull JltOropux 1oI1X8T Owu xaPOJlII90ll8ll0 )lIUIJIYOOII po
13
bull
elttpo R B OKTJlKOCIQDI S8Pf1110 e TIlJOIO pBM3lBl1lOIO
OKlPOHa Upc06pl30B8lllle DtmIlII8lIeHTHOe peHO)lIapyunOBOlIY_shy
HO npellCTaBHTL c060 JltlK nopcXOll OT OJIHOI HMOK8ll1gtllO annpoKshy
ClUi8DHl1 K JUlyro8 TaIaDI 06pa90 D OTJlFIIe OT DJlllrllll3l0IW1Il10ro
DOCTpoelllll pcHO]raquoltlpynna Iou-IlruUUl bull oymiddot eCT lpymta Upc06shy
paO 8IltYTp IIlIOaeCTD8 HeJOJlt8JgtBHX MOJleJlO K31I lUellllo OHa
BeCbMB po(CTBCHHa panopcrpynne BKAbooHa s CrBTlCrlflleoKol
qm31lJ(e rAe COCT8lIJlilJIIIlle nMPPYrmy npe06pa3oBpoundllllllr COOTom D
K8JUlHOBClltOM KpyIIHBKill aJIeWDBIfapHWX IDlltpooJtOI1lIIIeoJOlX 6JloJtOamp
aanpawep dnoKOB OllHHOBUX peweToR
5 rtpHH1lM1J R1UHtyewocTH
Bo3DpaIllastC R np(llJlKlD1aJ1nol CaPOHO onepa1Ulll nepcllojIIGIshy
POBKII KOTOpan 06 C)IJI1laJIBCh llliIIIe 1l KOlIUIgt pa31leJl8 3 3811eHll
1TO B CBeTa npoelleKHHX TaM npmtopoB Calm oD0101BO noponoptJlshy
~CMDC~H MOampe~ 6HTb paccMOTpeao C Honoa TOqxH 3POKaR
06_ JlOIBRY pacO)lJl1lCIDtII M CTa DO JUlDy y r Jlo lllallshy
TOBYI 31lJ18IY BSlIlIIOOllelCTBlIJI OM DlUDIlI ITO aeuePaHOpoOpyeshy
MOCTL 3KBHBanC~Ba HBB03MOODOOTH nOCTpoeRKK ~oBOnonoBOI
IOOJleJI1I C JtWIIIHlI LUlXIlIIJISIok) B381Do1OIlelcIBIlJI noJIel Up llsrJlJUle
o l8JltOI no31lUlU omuLBBDTCSI paBHonpanRHM gtttenll qeTYpex4Jepaashy
OHllOlO B38H1OOIleAcBKR ~pMH H neeDllOBORTopHOro B38BMOJleICTBIR
DlUUill I Do aae IC)a6Ih ttC8BAOCJQI4SlPHOro DlUiBOXOlO lJ381D1OIlelcfshy
BlUI ( a OllHoR JIOHOIBHlOI OWlllII T o He conpoDOQaellWl npJDIHII
DII0H-IIIOllllHlol B381Do1OJlelcTBHe ) a llt8JIlI6poBOUIWI Iok)IlWDo onposhy
CJl811oro D8lDClllOaOTBIR JIOIIIOHOB ( a UeOKOMneHCftpollllHHHllll Wloshy
1IIlDJDoIII) Bee u 1ok)1I8J1lO 08 Iok)ryT 611Th ~O a RORIlX-060
nOCJIeJtOBaTenhltHX IG8JlTOJUlX 180131 IlOIJl K8K COOfBeCBYD1Ol8 dacshy
e90om (VIllI OJIYlWlOCHIOCIQe) uptlJlMll
14
Teueph MOIRO laTh npoOTYI ~PlIYJIlO POBKY nplllUUlt1Ill KMJIshy
-ryOYlCTR 3aMCHHDIlero CBOlcTBO nepeHopcapyeYlClH
- D oopu pcJUUIIllJICTCKlIX nMea CJle)lyeT paCCMSpD8TL
()(aampe no M aCCqOCKO y poBIIC ) lOJIKO T lUte 1AOIlllJlll H axaHllSw
B3 QDK)DeicrBM llOJ1 e bull bull ROOjlHe )to nyCKBm nOCJlelOB8TeJlhJtoe tmaHshy
lonoe pBCOMOlpeUJle I T e f8Jtf(JJT(U( M9CCWQecfGOOI WUlJlOI8MJf
llI(yTpclDle llenpOTlIlIOpcltllllWC OIQHfOBOnWleDIlX IOOlleJle~
6 Pon KDalITODIIX IlJIHHllJIIIOD
06paTllMCH Tenep R POJIll JalIIHTOBllX np(lllllIIJoD D IjJo(lloGlPODashy
IlIltgtI CODPCWloro 06Jllut8 JIII1IHTODOI TeOplIJI nltWI lanOMHIIII BOshy
nCPBla liTO yse B B8tWJe 50-x roADH 6WlO OC03ll8lfO lTD B
oTJlIfllJe OT KBaHTOBOI waXlUcaq I IAO IlJOpquPOUJW uUlsam B38HWOshy
IlelCTIllIJI Ilrumol COBOI)lIJlOCTil qs= llonycROel DDellelUle CooTshy
llO1CTDYUllelO OICJlO npoH3JlOJ111WC ~IKlIIIlI (nOTeIlQIIWlOB) B TOshy
pu KD8ITOllWC nMeil npoa300Jl B JlarjlllHDaHe B381l11OJleI~8KJ ltliKshy
capoBllllHOI CHoTew none orp8HllonmaeTClI netloJrbllllll HMOM ROII shy
CTaHT BSWDIgtJteiClBU KBaHTOBaSl T90PKSl nOJlJI He ItOrrY0Ka8T nposhy
B3BO1gtBHX IjgtyHHI1Jlt qTO JIlWieTCH OJIellCTlUIeli YOJIOBHR nepaHOjlMHshy
pyeMOCTIl
CeJQeT OIII8TIdlb lTO nepOOJ18lMltHO aTO CDOstOlBO npenshy
CTaBlIJlJlOCb CJlu6w MOOW JmQHToao1 TeOpml DWUI OBJ3poundlHHla( C
HecoBe~eHcTao Jlo CrYlfHKl TOrll8 Teope1H IeClQtx MelOItOB D ne~
lyIl oqepelllgt WlTOIl8 Teopo D03lIYIIeHKA ll]lWllt8X RC)TOpol II oposhy
BO)lU80 U800Jl4ltJt8lll11 n epeIlOplolllpy0MgtCTH B nponaonMltWIO~
alOIQ cnyor a 20 JIe-T CBOICTBO n epeHOPKIIPYOMDCH I KBJI01eHliOe
B BHIle Tpe60Mlllll IIOJlIllllllllilllll4 SllollaJDlJl ClllJlWo 0YIIICC1IIOIurym
15
JlOll1gt ) nOC1poeHl1 O7WUlBpTBOI IO)Aegtl 8lIeRrpoaJta611X B9IlKlolleRCTshy
IlHI B B cjJopMnJlOBIIKlt1I nOHlinJi noKOJIelWl qpMIIOHOB B lBOTOIIshy
~ee BpeMH npeJttr8BJtflDTCJI H8C011HotttlHll lJTO ot1llTHHe llatDtWO no
OJsO MeRrpoalllTIIHIoI B CULIIliM BWDIOAelcT1IIIDoI ryT 0111gt
orut08HLl llaquo)JlJf1lectB8H110 c noYOlllU) nopeuopmpycMllX ltB8IftOBOnoueshy
DIIX IIOAenel
CMbullbull IIDJ1Y paIllIOOI KOH07aJlT8MII BSIIIDlgtAeAorBIlII yOtampshy
IUlllJIIllQl)ICII npllIUlJmOIl JlOIIBJILIIOI 1ltaIIlI6poooltltoft CIIlIITlI ( J(](C)
I~llKe II nOJlllol pe Oilll ocjJopOJlJlPOBaR ija91lOKIII
npmllllll B 1954 r llHroll 1 IMJlOOII ROtopHe H8 ero 0080ue BB8JIB
HOBIliI MIl00 cawoAolOrnyDaIIX BeRTOpIllX peiIImDllI07ClQIX UOiIeR
H83JmaellllX Tonepb R8JI1IOPOBOlHllllB nOJllllll BJIJI nOJlllllll Ru18 - IIIIJIshy
)lea 3tlt nOJlB nollODK) OBOBX B1ryTpeHHHX ODOI~B CBSI30lDDJX c
HMIIIleluoonlgt CB060)lllllX ypmlHeHd _eHlll qllfeJlgtllH 0
TOIJO 3peHBII JIX B38K11OAeAOTIJIII C IUlYnDUI nllMllH MilllllJlanHoe
B3I11111OAelofllJle llt8JUlOPOIlOIIIoro nOllJl C UOJIJDUI ~eplDl O)lllOIUIIIIO
no cjJoJlllO bull xBpeneIll3Y0l0II o)llloll KOSOrBlI101 OBRbullbullbull B CJf1UI8
noaOeneBB nltWI Tn ae 08II8Jl KOIIOtWlttB lIXOJIII B ltaJlJlHollml
OHH CBOOO)lllOl YJl8lIIIeHBII nOllJl
K JtOJUlY O-X nlJtOB BWlCiWJOOb ~o Ppound fOUKO aJl8KTPOMarshy
1lIIlHHIl )o TaJalO OIIaOIiQ II CUlgtHliO BaJec~ OopeROshy
CJI K8J[JJOpollOIItIOII BeftOlIJAII nQJlJlloOl BCJI8)CTBHe qero II IIlJlCTB8
B38J111D)1e1OrBy-IIIIJOt Kll8lITOBUX nOJlol Ollpe)16J1J1n1tYl) poftb IUpam
BOOro 1pIl KORCTBKTII OlllllB BRe paYOR 011 CTpollROIl bullbullKOBO
Bol K8pTBHH 007801011 IlOnpoo 0 KBWlTOIlOI TOP rPBBBT81U11l
3ltecamp o1XJ8JtO ncRBlUlWCb 1it CJIlOOtDeIDlO OKP8nu as uocneJtHK8
lOJ1II BIIA_ OBn8lllOl 0 oyn~BpII81 (CtCH)
16
Kax llaoeCTHo CyCIt c_eT MegtIIl 00601 qaC~ c U8JIIIIIJI
B nOJlJ1lemD4lf CIIHK8MB (TOuee - KBaHlOlUIG nOJUl no~eQII
lt10- II gtBJNII-IIpeCftlBOIlOtIIUII COOfBOEBBlIII) UOAOOSO I0Il1 K8lI
rptnmlt lUI11peHHeI OBIIIIB~pIDl I181JlIII8P IlSM0IDII80K0ft OBIIUlUlam
ltPT C JQgtYIOM UCIiWY C OJ[KB8XOllDOl COIBS Jl 6na3lUllO M8QC8MI
O)lllBXD eye n JIBJUIOTClI BlI)lpeRHoB o aPoaA a npe)1CTIUW8T
co6oll ooo6oe p8CIlIIlpelle ClMIeTpHIl COO1BBTCTByuJlel rpynn U--
IUlpe 310 olto6J1leHBe OIIITOe 198 1lt8 7O-x ro)108 npeJ1llOJlllshy
ra paCIDpB 4-oIepeoro DjlOClpBHO 1mult0BCJltoro 10 middotcynapshy
UPOCfpBHOTB8 KOTOpoe H8Jl1lA1 c o6IlIIIIIIIII UPOOTplJllTJBIIID-Ilpeshy
MBHmDCI KOOPJDlH8T8MJI COABJlIllT JlODWlHHTB4bHHO CIIJDIOptW8 8HTIIKOIIIshy
iIlTIPYJJIDe lIeJU1 oo6oil c qpom-llOJllllll 1tOOp1lllHamplW - 1BIt Haa
06paBIDJIjIO 8neOpu IpeCCIIIIH8 ifmleltcOil paaJJBpeHBII cynepcTshy
pHIl DP~ TaI IIIl3IIll6llT ~oe ~IICJ10 IV I8l108 TO IIICJlO CI1lIll0Pshy
HIiX rpacCollBHoJlllX OdPB9)IICBX _ 0 2N bull B Jgt8IIIl cye 1I181l1OIIIIe
UOampJI rpynnJlp)lltCJI no 0PBIIcf8amplle rptnmlt C-C npeoltlpasoJl8l1BI
OOpllBYIl COltnBBTCTBJDIIlB IIJJlIIUOTII coc~bullbullbull 001 pIISJ1lRshy
IDIX CUJlBOB IUIR UeJIJU BIt bull OaJlyIl8J111l[ (aqO - cynepnWJJI)
BoeAcTBl6 8~OPO cCa YOTABAfIBA8T uPOCTHU CBRUB we~
kOHOTaM ll38JIIIO)telcTBIVl HOKOTOpol OOIlylII00Tll 60samp- H gtBpshy
lIII-oOJIoI 06pas-DIIoA cynopnOJI 1k~8110lilUtll CTPYIIT)pu D8POHOPshy
POSOII jlIUIIl CyCw lOO)1e~el 8118 B cepelllJfgt 70-1 lOJIOIl IILIIWIO jlIUl
38MOi8eJlhRIU OOcTORTelhCTB OILaaaJlOCh ITO B l8KIQ MOAIUJa
UCTO OPOIllWlOTCII TOBJellllBll K COKpeu811111l peCltOIDOCTB aw 06I18P1UHIi 1I0)1emJ lBrpBJmIAI B38IDIollelcnaJi TOpIX ltllA1U
npa)1C~8MeHII qOp8B DOJLII OOPBB1JIIIII8 cynojllOJlil IIIIpIIlIIlIITCII C1llshy
Mol OUlOHOII IUllUUltI lIS TOpIX rpe01B lI1I6HBR 080K0Henu KOIlty-
lUI8HOB QIH8xo npB nOJeWDl C1llllll BUllJlOIl lUWHOlO nopllJlKll
110 J OT HOe CllllIfUUAlXampfUp6HDBHll O)UlSwa88TWl IlOCT8TOUBIIl
HeltSoJJtoro uam KOHrPU8HOB He l18pJEWIIIIX 0YIlOPCHMMUT)lUD
17
OcuomISR wacca KQHTJU8UOBpaaeHlDlX lapes lICOOT1ULllRllllBe- cyshy
nelllYTHI1Je~ nOJlJlt ItOMDeH0Ilpy8T APYl APyra lneo~ 0Ita3WJla8TCII
DO~ lIIYDpClBllllgt II]l8BIIJIlI ~1BII8Ba HlmOOpOAO~B8RBO JlIJI
OynBpIOrid Ecn npoBeCTK 0URC8IIHW8 BlUCJ18lW1 no oynepnpanrraM
~_ ~O ltOllllleBOIIY~eCR peOXO1lllraquoDcmI Be B0811l11Q111r 1ClO6ae
loo ~~ _aT SBeOUJ IICOJlIII80K1Jgt 8IaJIOIHD 1I0000e OOSshy
IIIIJWI KOIIIUI ~ 101108 KOB8PIf4IIHOI eopllll BO~ B ItOshy
Cpol HUll bull 8B1III401lllll B BIIpTyamIIIU OOOOIIIWIX OJIJII 061ampshy
JDlHeBil B a_a upooar8OjlII mTUlt806epra - ~1JDmBa OIIoUUOOL
qO CMmen pampCI()lIIJIOCft Co60T1eHHol Bepro 3Jl8JtfpClll4 bull KaJ
nOHIBBA8CL C ~1B01 110 40rap~8cxol
lIaadoJIe M C 4gto01lleOlltol 10 Bp8Bll11 lDWDllCII up8p11
nomoA 1UlIIlJ1ilI08IDIII paogto~1 B 881t010pili CnellDlIMX IIlQJlUIIX
Pen IIJlOT 0 IlD 1oIOIl1WIX pacup8aaol (II gtI) C)Clt 00Il~shyIIIIIX oaO IltampIUI6pClBOIHIl1 n()lll B ItOIOpili BLIIIJIIiI n shy
IIluco B nep8BopllllpClBll1 1lQII0T8BIII 0l1li8amp bull TOlBOCTII kOIIIJelloPJ-
Dr _ OIIIIJIOpiIIIX DoJeI IIIlTIIJIIII Dpil STOW 0ItM 8 tCS ITO
np nDCIBAOMTOOI flBTe CyCa 118 n~ n ex Clampshy
ad T e npJI 1I0001ln10l6JDlI OJUBpiIp8BILl hlJDmBa bull l0lppaA8Ogtshy
ue p8OX~fi npClllUampOpoB bull BOpGHgtltIX ltI1HIltIUlI IlOTOpliB DPII
n OJtQIiIII0H8STJIKI BiAlCteDU OaamplIWBaIJIrml BI8WHO CHONIIBHCHPODEUUWM1t
raquo n epe80JlDPOJ1K8 ~ I ll6 BOIIlDADT 1IOa08
l8uII 06pa_ UCIIfIOBil cepJ88B110 JPI8IIU U DO_OOTlo
C1lOHOMIDIlI IIIc1o1w101O CD CUllUT8IlIIIa 1IOJteu1 IOIltIIIJshy
Hoi DBlItOBOI TeOPU DOampIl bull ~puaI npCl~CT~ cmo-
6oDIa Ot JnTp84aOTOBDl paoxo~l
lJoIOORIlte ~ IoIOrrr JDlIlUCII TeopeT1A801lO1 00801101 T6amp01O
-ug- OOteunVWB ~IM Quel - OJD8~elDUl
up IlOTOpCM B o6IaOfi OOll1OlBO 00amp1[[ lIJIoprd 0GEWltB0IJII8JI
derJIIILIIa sIIIIUDIIU IIOBOTRBTa 0111811 1i n epaollu 6uau 18
T e MeRRT hCg c A8AhUe~ POCTOM 3HeprHH H ORa3WDaBTCH paeshy
HOi3 HeMoOpoA KOHcrrurre d I K01oprut ClOOtlet(ttByel umshy
cNUIte Ctlll9l OrosmteA B AarpaHIJUme B UpaltT1J1l0CKHX RH3JltoaRe~
lO-TJIt[e cJQtX mABOJIOJOUlX J llB4BHMe poundmCCH DOJlHolO 06~eJtK]teHlUl
lllltOIyoae1 B lCjljleKTHBHOro HMDyJILCB 06peaIHI C OqlUl 3pcshy
mt1J TSQOC BllnICJIellHR 13KJ1QD JOtsrpawc co cacpxTJmelllaQl BlPlYMb-
1lJ1MH qOCTHUStm IwpmeHCHpYlJmMH paCXODlIMOCFU JIelfCHX JDJorpor_
MOSHO paCCMaTPlIBaTL IWR cDOco6pa3UYU luntepuarri3~lJrJl mrXOB
fiaYJIH - BKuapoa 11 bull
YAh1JXMIH0JI9TOBWB paCXOlDlJrNgtCTiJ lUjClYIl81JT UP 8lorrd trotlt
napOJRTHUO 34cento It1U I c ootseTCTDyxqae HU 41nute ltMfI a KCKYCCTshy
BemtO D03JWKlmte BCJI9Qc rBB9 aecoBepmeRCTBa TpamlUROHHOro MSTOshy
Ila BCOJOAOllnllllJl pIIsIleJUlDl(ero eJlllwij oynepollMWltpoDlJtli JlarpeHshy
Daamiddot aa HeCHMUeTPlfIlllLB clJsraeMJie KOTOpLl9 He nep80M 3Tane u-cshy
eJlOIlllllHll paCCPHllnIIICR OTIlOJlJolIO AP11 OT JlP11A
YnoltodJUl MlIp aaeMelitBptll(X B3WMOlteilCTmrst LUlCTlUt lS 3JD1UJOU
Base C Wl8BlllOOl ~poltruIH lUIII O 8TYO 6onzmu p8POD II lIIw-Ka- CM9tOBaTWUI - rmrMeD KOrOpWl OfKWlHB8eT 0 1 BB3l KyCOlBK
H YHocn B Jla60JlllTOJllW lIIJl aHaJlBQ lnpe HOKOopoe llpeMfl OR
maal Doe od OroH1OM IIIYOKe R flHielO 0 cOOYJe 11 LtBJ[OM npl(
arrOM 01tJU1Iro KPOMO TpartJflUWlona Jlt160plTOpiUlX CpcoOTll It 060shy
PYAOBBHHR MY nOTpeOOBaAHOb TaKEe Bon sara B 6HHH lIIJl Jleqeshy
HRJI nope30B JUi py lQU 01 OCfPUX KpnCD OCKOJIKQB na3u PacxOMshy
MOCTH I KOUrpueHli peryJUlPH38llID1- B03111lU10 TaJCKe K8 uymw
Jt1Ul noHlIlampUDlll KaprHHW B3antOACIClDHII n llCJlOM t KaK He ftYnu MOshy
DK1lt8MBH1U DJlH BOOJleltoB8JUll1 ueJIolt B83b1
fioCJIBl(OllDlOJlblU1R ytt01 TpaX KDturrOHllX CHfIo1ft-TjllI1l COQfBOIshy
C1BYIllUdl IllC XPOHOJIOIVIeCkOlo) nOJlllJlKY HCnQJh30BllBIDl lIlt)JteT OllTh
npenC1~eH B BIlJlO IlODOJlbllO crpollHoro PfIIln
19
1 IIepexoA OJ lltBIIHoBOI IIOXaKJtICJl R DepeRO~pyelOJR _shy
TOBOR TeOpm DOJIJI ( yln npllJUWUl 1Dl) njllIBQJl K tOtq 110 BBllSH
lIYHlWBORM1gtlI01O npo9BO110 X8pa~DJlIYlO noeJl1DtWIIJlol ijJyrutshy
JSol t WY nanylpoundllm JIJIm 1l000P OpB3BOJ1bHHX DOClOJUIllla - ltOHCfSHr
CM3R
2 yqe D]lIIlUUI8 IKC 0 meJIellBo Ilt8lIlWPOIlOIIUO OMO
D]IIIDOJlIIT P yctBHollJlellllJl eMol ( B npoCTellma CIIJlwtl paBONeB)
~ ROHCTaDT 838JOOJAelcTBItII ASHHOlO 1WllI6pollOIIUl1O nltlJlJi
deg n pD
J Ieno_o nplIHlUIIIB eyea BBOJIa 8IIome OnplUl8JI8ll1Di
1l860pu ooeTOlIIIIe gaR lI3 60 aK 3 4eplOl-DOJlel (eynepshy
tqJUTlWlelll) SIIIDIDAea01BllJI lltOOplll[ ODBeWlSllCJI ollllllODellKol
IltOHOURO eM bullbull bull
liaKoaOD OpeACT8IWIOlCJI BeeWOi eMlJAlWOl neponelmlllS
eI1O aTona
4 liaJIOlIlHle pe60B8IIIB eBDplIllepoHoplOlP1elOJ01II ( nPKHIUIll
CIDl DOHIIIIIIOa 10 YeJlOBBO oayTeTllllll YJIgtTJl84DI~OT08HX paoshy
lroJ1)llllce B 1I01I8lIJD( oollo)ll8UX paClrOAJDS)01II no 4oJlMlJlHIN
n~3HaKaM C~eTQ cTonoHol D~e H ax npoKaBO~ D ~Qrp8HKRQ-
He) DJlI 3aA111HO 9118qemm emma Yl8CtBYUIIIIX lSOTBl1 4aultCllpye
CYDepc_pIIIllYD 1OO1leu nMIlI8I OTO erwl p8BItII)I JtIIY)I DMYshy
SO lIane AOOTII OJtlIOIlH8lHOlO ollJlC8llllS po B31l111OJAelCTBlll 1tB8lIshy
bull 0BlIX 000 B o611B011l )lOCT8tOIII0 BWoo Keprlll
Tew C8IIIDI B09111Oamp8O ns HllIIIIX rJJ83U H8qm8H OcyJleCTlllUftshy
C8 M81fT9 alHll1elJta naee laquolew n0JIYB8KOBOI JUlBHOCft bull bullbull bull MY
XOTD He TOJIlgtIltO HOn 18K y01poell8 OpllPOAB ( II npcllCXOJlllt
trpIlpoJDtHB JmeHU) r 80 bull 00 803MIlampHOOH llOOTW1b ~ llaquo)Se1 6Y1ltl
YlODBlecbullbull ApaROI 18 II1I)I - YBHBU noqetq Il)aPOAB lIIWI8CJI
ftMOHRO lalltOl a He lJJYtol2I bull
20
KaJt YSI OTMIlQaOClgt IICO qeH njllUDlKIlll - 1IlI IIKC eye cmr - no coool DptfponG RBImrOa HltaHMmuat TaR KBY JllR HX
ltIxgt ptqUPOBKl HOo6xo_ lltoro KIJ8HIOBIlt nOHllTlIR
DOIDmIe ltfJa3H 8OJOIoooI ltfJYHKUIII R He33BHellMOeTH OT Hee H86shy
AI11taOMWC BeAMRIi
nOHJIIRO 0 paSJIiltOlllX KB8ltlOBUX ClOTilcmuwx B 0 (1030- H
~JlIIll-l1l4IlX
OOlurroe deg nponcxotlllellltll bull CTPYKTYpc YJJJgtpaqmMOlOBWlt pocshy
XOJDlllaquo)CTeA B IQlaJITOIlOA TCOpllll UOIUI bull 0 II]lIlllllAYpe nepellopltl1polgtshy
til bull
Kwt Mll y6~ltWDCL nOCJI9JlOMlCJI1dIOe lUl[J0JI30BQUlle 3TUI
KBaliTOBW DpIIJillHUOB BBObullbullbull MOOIIYll Jtere_CTHcelYll O1pyn B
up KBWl1OBUX SlMeHB KOlOpwt II OCHOBe cnoel nO)tlHUen CTBTJlCTHshy
qeOKlDt 38SOHOlampePUOCTfDII
JlnepaTYpa
1 IilJlPKOlI I(l SW 1983 H 1063-1072
2 JljpaJ [[AM UpJllUDlJlW ItBlUrroBOI MBXIUlHIOI Iayxa II bullbull I~9
c 4(13 1Jy1I tdl3JIItJI JueprooT0I0III9JIIT M 19I13 0 4G
J tSooft G Phyenalao R~port s 1Q84 1]1 1~_I)~
4 Nnmbu y Ph61 cft Ne~ort8 1994 l2 2)7- 8
5 Gultat50n T Arkl v ( Watb 4strJys 1)46 )A 2 t
Spbullbull B R JllalhlIl7obullbull1968 l bull 1404
6 tJtloort Q VeltallUl)l Nuol Fhyens t 1972 i1 J131
7 CoOoJlo C n ila7c c60plllUt 1936 T ~ c 39
6 Sailwllrll L Tb1 rr Itl8 ltt1Itrlbutlo41IAlnDd Poria 1950
9 SoIWlllOOD lUI nape OC 1957 Ao a _h lZ 227
21
10 Bor0JID60B HB R IIJIpKOB nB BBeJ(eHHe Jl TeoPIJll KBIIJlTOBaHBHX
nonea U3Q3-sBayxa M IIrn6 ~ 113ll4-et Hayxa N 1$4
sectsect 2930 11 Coleman So Weinberg I Phybullbull Royo D 1973 ~ 1888-191 0
12 fiIlp Il Il H Jij) lB 1982 T 35 c 1221
13 Bop U Pbybullbull Rbullbullbull 1935 ~ p 696-702 DopeBOll COl ihlJoo Bop 1l00)lOJlHlie Tp)tll T2 HayRa M bull bull 197I oIB(-I91 Bop U lIa6paH1Dle Tp)tll ~ 2 11ayKa 101 19710526-532
14 Shirkov D V In onlineAl and Turbul ent ProaOS888 in Pb1 shySampgd R Z HampMrood AcadPubl II Y81 cmiddot vol bull bull eI bull
1964 p 16)71 IlAII CCCP 1982 263 c 64-67
15 Bor0JID6oB HR bull mwpKOJl nB bull IlAH OCCP 1955 ~ 103 o al3-al6
16 Biuok~bra EC Peterann A HelyPhTbullbull Aot 1953 y~ p 49~520
17 Gell-aampDn a Lo_ 7 PbJbullbull lev 1954 v~ p 1)00-1)
lS W1180n X aev MOdb7ao 19BJ 22 p 58)-599
19 r OJlloltlgtUUt IlA Ilnu Bn n0l0IIIIl B J)iqI 19I 13 452
20 Parkbullbull A and wbullbull t P bya Let t 1984 v ~ p 99-104
21 31bmTeIJ 1 0 cOIIIUeHHOM OOCTOIIBIIl ~eoP nam - COOp HBrUI TPJIlOB T~ HayJca Yo 1966 c245
PyxOUlC OOCl)1IIWI B H bull lM9JIlocKHll OTlleJI
9 OKI86p~ 1985 rollB
22
bull
W~DK08 aB P2-85-729 KBaHTOB~e np~H~~n~ 80 B3a~MOaeHCT8~~X none~
B80A~TC~ nOH~THe KsaHT080iO np~HUHna KaK npHH~Hna npH OOpM ynHpO BKe KOshy
Topo r o c~ecT8eHHO Hc nOnb3y~Tc~ KBaHTOB~e npeACTaaneHHA H cneUH~H~eCKHe KBaHTOB~e nO~THR Pacc~aTPH8aeTCA ponb Tpex TaKHX n pHHUHnOB
npHHUHna nepeHopHHpyeHocT H HH a4e - KsaHTyeMOC t H - npHHUHna noKanbHoM KanH6poe04HOH cHHHeTpHH - nplo HlI lo1 nA cynepcH_eTp IoH1
B pa3SK TH H K8aHTOBOH TeopHH no~ B CBA3K C nepeWM 1013 3THX npHHUHnoe aHan]H py~ l CR eop-nbHaR CTopoMa CH 3H4eCKOC COAep~HHe npo ue AYPW ncpcHopHHpo eOK 8 KTn ee C8A3 b ~ HanH~HpoundM ynbTpacentHonCTOBWX p aC XOAHHOCTeM H pe HOPMr pynnoH n p HH UH n nepeHOOHHpyeMOcTH OOPMynHPyeMWM KaK rpe60aHHe c~eCTBoeaHHA BHyT shypeHH e HenpoTH Bope wHaOM Ka~TOBO~ epc~~ A~HHO~ ~~eJ~ B3aHHoAe~cTHM non~
oKa3BaeTC~ 3KBHBaneM THhUoI YCI108HO KII3 HTyCHOC TW nH K IIHrOBOC T~I nCUC83aHO ~TO noc~AOaTenbMoe B HCTo~~eCKOH nnaMe kcnonb 308aH~e Tpex KBaHToswx np~I ILllolnOA Dce 60nee orpilM~4H9aeT B03 MOlliHbH AHlfUMo14 eC tue Mex3HH3MbI 83aHMO shyAe~cT8H~ KBaHTOB~X noneK
P~60Ta awnonHeHa B fla60paToDHH Teope TH4e~KOM ~H3HKH OHRH
(JpenpttMT OI5be[lMHVDloro ICC1MTYTa JIIAepx MCcaeao A ilYe 198)
bullnepeaoA a lTopa
Shi rkoy DV P2 -85-729 Quan t um Pri nciples in Field In t e r actions
The concep t of quant um pri nc iple is introduced as a pri nc iple the forshymu lat ion of which is ba sed o n specific qun lu~ Ideas and notions ~e consi shyder t hrae of such princip l ~s
- the princ ip le o f quant izab i lity - t he principl e of local gauge s~etry
- the princ ip le of supersymrnrlry and their role in devel o ptlen t of the quantuo fie l d theory (QFT) Concern ilW the Fi r st o f them we ana lyze forma l aspect s and phy~lca l contents of the rcshyno~ll z4t ion procedure in QFT its relation to ultraviolet dlYergences dnd the renona-grou p The renonmallzabl li ty property formul ated as an eX i stenCe coRd i l ion of self-consistent quantum ve rsi on Wllh a ]iveh mechanl5lll of the f ield interactIon turns OIt to be equivalent to quantizab i lityl t i s ~ howo t holt the consecutlye from a hls torl c~d porflt of v i ew uie of these qtJantuln prlncip l e~ pull ~ tl l l IQrger II~ i t~t i on5 on pOs~ibla fonms of field lnt~shyract lon~
Tht illvnSlif)alion tws ~en performed a t the Labor4llory o f Theoreti cal Phy 5Ir~ JIHA
Prlrdnl or 1-1141 J oi nt Inetitute fo r trucler b rch flubna 1985
114 poundRHruut I ltMetlIH1(H llenocpe1lOTnelUUlJ tPROlJJBCKB A CMlICJI r C no shy
IdOIIILIJ KOTOpux napsweTJlII3ylJlClIi peSYJUoUY IIUOICJleHBlI It HaGshy
JIIlIl8ewu H8 onUTe xnpnKlepilOTHRlI npolllCCOB HX B98111011elclBI1l
JloIe B 1l1lll00JlOe npoCT1l1o[ C alOJ TOiJll 3pellllJ yqse Il3lIrOBOI
3JIeKtpoJtllliJlMlUlamp pe3YJlhTSTU llUQIOJJoKllll B3IITlle B npoUBOIILHOI
ex nepeHOjlMHpoBlltI (lIaDplMgtP B OXeM p8Mllpuol nOpltlHOpomshy
poB) no nepeaOPMllpoBaHHUX Maceu H 88]l1lJ18 aneKfpoH8 CCgtshy
JlejlUT 98B11ClIIIOCTb OT JlOnOJIHHTeJUHoro 1I8jl8MO~p8 bull lIlleshy
ro pnMepllOOTb MIlcew Ta OOpso HBnplIMOP B Oe8118COOBOA
an8KTpoJIIIH8IIHICe (8 B YJlbTJl84gt1OJUTOBO peJlMe oOwIIIol RaJ
C MIlccol) 8 peynbTT rrpenOjlMlJpoBIIII B03Hl1a1eT P8PHUI neshy
paMeTp HlpaJIIUlA poIh MSaMa6a B BMJJYJILOHOM npoCTpoJtCHe Ushy
pnwep BHaors KOTOPOlCY HCT 11 HCXOQllOII J18rprulU8He ~HOH
CaMOnpoR3BOXLHOro D03HBKHOBeKBn p83MepHoro nSpBMeTpo n~~
H8BIlHIIe P821ejlllol TpIII CMYT8Il11J1
STopo XopollJO HBeCTHJilI H BeO1I8 nOyllJl~eJIhHH O)lgtUlBp clIJshy
988 0 lIOJIeJUd ncell0cIltlUJlpHoro II38IMDJlelO1IlIII ~PllBOHOB 1l1l8Bshy
ruroro tlUU1 8 pcayJlL1aTC nepoR0PMIpoIUtill 1) Hast C8UOnpoRrBOJILHO
B03J1BJt88T tOTaopH08 C8M0elormte ncelUtooKlllISlPuoro nWUl rapaKshy
TjWsywoe OIlOeI 0IlOTOHTOIl CM3H IoIoJl c OJUtO KOH08IITOI
CllIl 0 pe1J1IT8TO rrepeRopompoBlltlI JtpeB_eTCII B TeOJllll) C 1BYshy
WI ldeXaHJI3MWD1 B3WD1)AeAOTBBJI II ltBYMR He3aBlOJuDIMJ( KOHCIAHshy
Tmm CUJ3lt
EOJIee HOBYe O)lgtUlBJlII CBII38H1l C mIJIeJUle onOHWDlOro UlpyDlCshy
llllll COTjJIll R I$Il9KTO lurebull aneCL npoBCXOJUi TllIC1Ie 08shy
HUe c 4IraFl9cml lOqg 3peHKR JmJleHWI KBK uepell8lUl centS3lfl1eeshy
lltX CTenaHei c ooOalIl O ClltMJJjlIIoro nOllJl 1lI0pollODIO~ lIOKTOpshy
1I0~ DjllIOOpeTaDIlelCY COY It T n IN BIIee B BIJIY OUYSlIIIJl
KOrAS B OOUOBe Mexmhl9W1l cnOlltrumo~ HapYlJeHaR JIeu KBaHTOBWO
altWJcMTU III aech llllOonllTlln CHTYOllIUI D cwlUIPTuol MOJl8Jl1l
8
r
alonpo~JIB6oIO B38Jl1)JJolCrJlllJl rne B03HBJlt8e~ B0311lKROCTh
P63JU1lDlOIO BY60PQ xaprurrepzCHK I nottBepr8DlDlXQR He38BBClIMlBI
npeHoJlMllpoDKrult 881160gt100 8kOpellQllJltaIl OIlfYIlIIIII ncgt-_~
DeBT MBOlO B 180PO ClIIIABOro B38lMOJtslclDIH B flO BpeM8 lall[
ROXOlWlll ClI8JI1OlIOXPO~CKlIII Jl8lJl8HIIII811 COllpoT I18ce
JCBaPlU)B B Orutty JCBapK-rJJgtOHBoro B bull lleIClT1Wl bullbull1I6JmJtsshy
T8JlJolllla )l8lIHIlte n8jl8M01jWymCJl qepes XBj)aIlIePlOTIlltII 8JlpoHOB
TSKIIII 001011 B 06111011 ClJtYIII OOOBe~01BBe M8lIlly napaMelshy
paM ICXOrHoro Jmrp8HZlamp8RB 11 KOuelDllDlll B~ I lICDotbajshy
e )WI OlOloaHllH ommlllX )awmx JIIIJIJIOrOJl BeC 0II0J1H1ll1
lUlU 18 KBleCtllBHHOII ypoBile B 8l01 cuyslIIJI aporu napeHOpshy
MRPOBlQl B006~e roBOpst OKa3llB8eTCR lI68JJe1CB81KIDI K8JQ111-J[160
laCllORlD( ODOpalIllJDamp r CBOARmIIMCR K aaWSHomm UOpMllPOBOK MIlca
3S]lIIIIOB It llOIeBWl onepnTOJlHIiX ojlyHIWII ampra CIIQeT BOcnpmllshy
Marl 60J1ee onOOPellCTDOBatUIO I teaK nPOllBltJPJ YCT8lI01)J[(UUUJ OOOTshy
BOTCTBJUi eJIIJy BOXO_ a8TPlIO_ USjlIIII6TpBIII JlarpaHshy
_a I ~lIIeOKllllJ RSBBlIOIIIWIB bullbullCIIOJI]SYruGiIIII JInst nSpeMeTJlIIshy
S8UD peYJllgtT8TOB IIHIIICJleH1lA B H1l6JrlU[sellllX BeJDIIIIIJ
4 Pa3MepKM lpaHCKYl811M I peHOPl4IWJIna
fispwleTp IUUWI fI bull B09~K8IIUlI B npoUllcce ITOpeHOP-
MBPOBIOf C tBCIO MPTOM8ftlleCIQ)I TOIIDI SpeHIUI lie nepBllI B3r1AJl
Ds-BOJDrr It ~onOJJlmrwrHoR oJlHonsJlBIIIHplReoB01 CTottOJiB caoOOshy
JlW a no cJllleeTBY K 803Hl1JQ10BOHBIl nOBOI CBOBOOpssHOI ClIIiIJlIIII
JlEB8IIlel B oeHoBe peHojllllWl38IOl0HHoA rpynnw nOT nOjl8Mop
DpellCT8BJlleT coOoA HOMgtellllelllll Qpe3Blll8bo II8IIlHJI C ~IIcgtshy
Kat OllCl 3POIIWI bull 8Tpl6y npoUllAYlII DepeBopoGpoBJOl B 3QCJIylQIshy
Bae ocoOaro oOcyqOKJU bull
9
IIpexzte Bcero C--leltYeT YCTaHOBHTb ero qJH3HlIe CKlli OMHCJr
HauOOJi08 npoCTO aTO 1KlZH0 onen8TL Ha MaTepHaJIB n epeHOJllDpoBKB
J8paIl8 B tcBaH7OBO~ 3JlBKTpoJlHnaMilJte aTe nepeHOpMHpoBKa B Citshy
~y T~eCTna Yopno ~HOM Onpe~HeTCR nepeHopMXpoBKO~ ~TORshy
noro nponaraTOpB DPHqeM npoJiJSBOJI B 1lli6ope )tOPMllPOBKH noCJIeJtshy
Hem nOJUlOCfLm nepeHOClItCJl Ha era HUBllpH8HTHIlI 4-mmyucRUI
8 PlbJHT e H8 lOoUIYJIbO ~Toaa S38mCJ9itMgyDllero C 3JlBRfPOshy
HOM 4Iinrqecxoo 06cyQ8HB8 RBl60JIBB BlleKBaTHO TIPOBOIJBTCJI 0
IOJlOJIL30BaHlleM peHopriIpyrmoBoro nofUffHJi XHBB_pH8HrHOro (lm81fe
acentoIIoKTlIBROro WI1 6oI)1llom ) 3aPJlJtB TpoHa ~e 4YHlltIl)UI d (Q ) OIlllCT UlleHelDle C HiDlyJILCOM ( a ee JIIIJUIWlIIIKll cliypreshy
06pal1 lt (~) C paccTOaHIeM) ~Ia 3aJlWl BJIeRTpoJUl
CaM qntcr BD3fiKKBon8Hllll TBKDft 3 8lmClIWO Ql1l BIIee DI CTa KBaRtOBYr
rrpapoItY OHa 0lBei8eT ~KTY tl8CTRIQI01 8KpwnrPOBKl sapsmn aJJCJIshy
paM 33 OtleT npoueCCOB DOJ1HPZ3llJlHl B8KYYJW OBOzvmBXCJI K
BHPTYalhHoA ~CCoQlaUlB ~ToHa-npo6HflRn Ha BJIeRTpoH-n03KTpoOHH9
nspu
KaqeCT~eHHO 3BBilOitMQCTb ex OT l Rs o6paK8H8 ceNe ttcT -
BOM KjnnlWX lUi pHC 1 lltaaJlBH K(IIJl8I OOOTBeTOTByeT 1lO3Ml11tOlij
nOBCll8HHD a4JPekHDltoro aapsma no HMOKBfUU YCJfOBHJl COOTneTshy
OBB8 C l3 rCplleMLDI H8 OIlHe sn6tteKilcM 98pattB aJIeKlPORa4 MlAshy
HO alO YCJlOBlle H~ II mme ( O J = 113 Te liDOshy
IUIT OllllO iIlHQJlO HeRO I lITO B 60l1ec o6utQW CJITlse ~BR K3 KPlflUIX
llB pRO I IOgtItlT OIiJL OlllJOH8IHO onpelleJIelUl roqa aa WlOCKOCshy
~H ( IQI bull clt ) Te ]IOOpsHa ny roM aaJl8Hllll tIlyx ttBpaMe POO
f II CI TaIt1JM 06p8SOM lITO ( fo(t) ex l bull C 01 0
TOlKll ap91l1JJ1 nBpIUI8p IIKWIJI t bull B03HEXA~ B npouocce
10
ncpenOJlUHPOBltR eC~lI npoclO fODYmi 4- mmyJIltCD qoTOJW iJcnorushy
3yeMOlO All11 H~MOpe-HBB a8ptUta R eliO OrCrJItSl I iTO BOl1lJ1Ol0Delme
HOllOm ( no CpIlBH8l11D 0 KJIBOOJlcCKIDlt arpaHlDBHoM) IUlpallltlTpa
lJHslJIIecKB CliR3rulO C ilopexonoM K KDaHTOOOJq paccP60rpemm n HO
C ClHlyJIIIJlHll x DpalITepo YJlLTplcjiIOJIeTOllWX lIKJI8JIOll ~ IX nepeHOIgtshy
IltIlPOBtlt8Ml1
TaJltHM oOpaaoM ~OIlOJlHflTeUlildl ttBpaMeTP ( n oOllle CJI)Iqae
KX Jlaquo)IeT 6111amp HecJ(anMto) eon pe3ynLlllT nepcxosa OI CHc1eMl
JUlBCCB-qecKltX 1l000el OIIlCIlBB9)lJ( HCXOmWM JIarpaHZH3JiOM I R 0001-
EeTOT~~Oa KBaHTOB02 3~~e B 06~M ~e XOPOWO H3BeCTHO
1flO tJepexolt Ol Maccn8CYOSi OHOTeMU It KBaHTOOOA He JIlUEFlOlCSl
otUto~nwttHWl O)tHol KJtaoOJ1l8CwA CBC1ewe DOO6lIlc tOBOpR t OTBCshy
ise Hs60p ( IIOgtlaquolT OWU Oec1ltOHelUlI) IltB8HTOBWlt CJOTelol Boop
M~ HII11 paOye BlelleRIIH II ~CIlPOBaHll1l HCKOTOpHX lI0nOJlIDlshy
TeJILHHX MpaMelpoB ~a MlIen eoaxOuH1 It 113BeCTIlllY eUCKtl3ll1lllJ1HJIM
flIunCB Bops I3~ llJIIBC_ K ~pMYJIlpoBj(e npwma lI01l0JllIlrmshy
HOCtH a ~8JrJlD ltpiDpoundDlIIIa JJU[hHOOlB Hx 0YTraquo CO CTOZ1 n TOM CiTO
JWI nOJllloft onellllltmltnlllJll KllaHTOBOI CIIOTe IICOOXO)DlMO 38Jt1~L ee
llampBKpoCKOUHlfeCROe Olltpyampetale tl Ie Y Ra38TL rIBKpoOKOnRtJeCKBe
npHOopu 11 YCJIOBtUI pellllSl JIMrulo 01111 II X8paIlTOjlHaymcq llOshy
nOlIHJlTBJI napaMeTpaNII
OllllWCO pou napruoeTpa mRaJIU He 1I0QepllIiBaTcn Kult
daxo O~MeqeHO BUma OR nPHBO~T K cy~ecTUOBafiHI) peHOpMrpynnH
llM TOm ToOu npoQllItII~b COOTBCTCTBYIII(YIl orallY paccY1IIIeJllI
BeJlH8MC11 H pHc 1 bull ~OnyClKM 0 DU60p ommll 113 RpHDlIX npoll3shy
BelleH YOJIOIJBew d r~~ i ) = at ~ ITO JIYeell ~BJlO C 6031180Coshy
BOI Ollllos9JlfW101 ~jlHl HanpHMBp 6eocoooll MeKTpo)lllll1lMRshy
1lt01 PIgtBlTl1IllIlt 9a~ tgtallO Tcnop Opa~CraBlIb 11 lllIJle ltiYJultIllII
11
(0)
oil -- - -_ -rI _L
1)1 _ _ ~ _ __
_ ~ 1
Y Q
PHe I Ka~eeTBeHHaff BaBleBMOCTb ~K~Oro aa~
OT IIIIII1J1]C8 Q B K3JI 1000Bll8 Clt (r l ~ r ~epI8~ SHOOp o~oa 3 D090QIBHX KpEBHX
(Q )
012 ~ - - -shy -shy
)J1QJlI
lIIe 2 b CIWI XplUl8Jl 0 (Q) -0 dim pxcpo_ 001 IUj)OI ( C( r ) T8Jt 1TOO1i a(N lt1
IloIlllODOCU nepoXQM OT OJDIol napoKBIJlI188ll1111
( 0 I 1 ) It JUlyrol ( 1 ) 06Jl1181~ lol1lleClt1 OCH081 POBOJlllllU8IIllIIDllHOI rpynnw
u
lillY Oeapo3MepWX a pl)jleIiToB Qfl bull 0 T e 381ll1shy
CSTgt B lIIlIe j (~i o(~ ) ilpil TaKO BlJle 381ll1eB CJo1UeT gtleTt
B BIJI3 0 napa ( ( 01 raquo COOTeeTCT Jm60a 01llte
rae a6paRHol KpaDOl PaO~~TpBM Terrep_ onepoUBD nepoxoAa OT
oJljoA rrBPW U8UpllMep (tlt 01 ) K lIPyroD ( i~ oiL )
JI_al Ha Toll a OSMOl KpmlOl - eM pHe 2 lICHO TO ~lIj1II
OllCliB8DItI1I JltpwHYII _aT Olin epa y enexoM n apallOTpil3088IUI
It8K OlCliOl lIB BlIX Tal H JlPYIOst HIwMB CJIOBaMll JJOJlampfIO HweT h
Me CTO paBe HCTBO C( qJ- ~I )(lQlti~ i a ) rlle Ol8mutHO
= ( (I (~ ~ ) bull KoMII1HIPYJI nWllellHIle COOTHOnlellJUl npilshy
XOADI K UTBOIIY ~01l8llbll01O) ypoBllOl1Dl IIJH ~KMOIltOro
aajlQB
[(X olt) = (yen~Z(traquo)
3To ypaBHeoe t M it II ere 06061ll8HBS1 un 60Jtee CJlOKlwe OJIYqae
~SKHT B CCHOB8HKB M8~K8~ecKOro annapB~8 MeTOna ponopuaAasashy
QlOllHol rpyIIIIi npoACTBBIJIJI coOol ~PlYJBPOBl) eDOleTBa lt1YlUltshy
QlOHallOA SBTQMOJlMbHOeH 11lt1 BoIee nonyJUlpBoe ABifgtilepeHQl8Jl1rshy
aoe ypaBHSlU1e DQQWlT 9 HelO npo AII~poHUllpoBlIIIlIe
OrIIe~ lTD DplllO)l8HB8JI gtAeo) noq peCCYIIlIellllft l BUshy
BOA ypBBHaHBJI OWlll anep8llIlBIIH B padOTo Eo1OD16osa bull IIIIpRXgt-
Ba 1I5 uellto BOCXOlUlllO K 1III0HepOllOi po6OTe llTIIlteJlb(lepshy
18 B DepIoIlII8 IIG C AP11OI C~POHII qeeHHaff 1lt8pBHB
JI B OOHOBa BSlIOCHOI po60U Ieu-Mamllhloy 117 DpolOAJIshy
~ K 8lQDtMJleKTIIlOl YpaBBeRllBM beer BeObMi8 ourmoe pSJIlIecltOe
COlleJampWt1IIe KaJc 810 oc06elDlo SlCKO liB 06cyqeHIUI IlPBBeAeHHoro
B IIe B OCHOse MOl JalPfIlHH OUT npe)leTIIIIIOKlle 0 Ha60po
HWl01lBJ1LHJa nJlll6JJBaeBd K JlO bHO IltSaIlTOBOI WleltlpoJXIHIUIIlJttl
llt8ampl1oe bullbull JltOropux 1oI1X8T Owu xaPOJlII90ll8ll0 )lIUIJIYOOII po
13
bull
elttpo R B OKTJlKOCIQDI S8Pf1110 e TIlJOIO pBM3lBl1lOIO
OKlPOHa Upc06pl30B8lllle DtmIlII8lIeHTHOe peHO)lIapyunOBOlIY_shy
HO npellCTaBHTL c060 JltlK nopcXOll OT OJIHOI HMOK8ll1gtllO annpoKshy
ClUi8DHl1 K JUlyro8 TaIaDI 06pa90 D OTJlFIIe OT DJlllrllll3l0IW1Il10ro
DOCTpoelllll pcHO]raquoltlpynna Iou-IlruUUl bull oymiddot eCT lpymta Upc06shy
paO 8IltYTp IIlIOaeCTD8 HeJOJlt8JgtBHX MOJleJlO K31I lUellllo OHa
BeCbMB po(CTBCHHa panopcrpynne BKAbooHa s CrBTlCrlflleoKol
qm31lJ(e rAe COCT8lIJlilJIIIlle nMPPYrmy npe06pa3oBpoundllllllr COOTom D
K8JUlHOBClltOM KpyIIHBKill aJIeWDBIfapHWX IDlltpooJtOI1lIIIeoJOlX 6JloJtOamp
aanpawep dnoKOB OllHHOBUX peweToR
5 rtpHH1lM1J R1UHtyewocTH
Bo3DpaIllastC R np(llJlKlD1aJ1nol CaPOHO onepa1Ulll nepcllojIIGIshy
POBKII KOTOpan 06 C)IJI1laJIBCh llliIIIe 1l KOlIUIgt pa31leJl8 3 3811eHll
1TO B CBeTa npoelleKHHX TaM npmtopoB Calm oD0101BO noponoptJlshy
~CMDC~H MOampe~ 6HTb paccMOTpeao C Honoa TOqxH 3POKaR
06_ JlOIBRY pacO)lJl1lCIDtII M CTa DO JUlDy y r Jlo lllallshy
TOBYI 31lJ18IY BSlIlIIOOllelCTBlIJI OM DlUDIlI ITO aeuePaHOpoOpyeshy
MOCTL 3KBHBanC~Ba HBB03MOODOOTH nOCTpoeRKK ~oBOnonoBOI
IOOJleJI1I C JtWIIIHlI LUlXIlIIJISIok) B381Do1OIlelcIBIlJI noJIel Up llsrJlJUle
o l8JltOI no31lUlU omuLBBDTCSI paBHonpanRHM gtttenll qeTYpex4Jepaashy
OHllOlO B38H1OOIleAcBKR ~pMH H neeDllOBORTopHOro B38BMOJleICTBIR
DlUUill I Do aae IC)a6Ih ttC8BAOCJQI4SlPHOro DlUiBOXOlO lJ381D1OIlelcfshy
BlUI ( a OllHoR JIOHOIBHlOI OWlllII T o He conpoDOQaellWl npJDIHII
DII0H-IIIOllllHlol B381Do1OJlelcTBHe ) a llt8JIlI6poBOUIWI Iok)IlWDo onposhy
CJl811oro D8lDClllOaOTBIR JIOIIIOHOB ( a UeOKOMneHCftpollllHHHllll Wloshy
1IIlDJDoIII) Bee u 1ok)1I8J1lO 08 Iok)ryT 611Th ~O a RORIlX-060
nOCJIeJtOBaTenhltHX IG8JlTOJUlX 180131 IlOIJl K8K COOfBeCBYD1Ol8 dacshy
e90om (VIllI OJIYlWlOCHIOCIQe) uptlJlMll
14
Teueph MOIRO laTh npoOTYI ~PlIYJIlO POBKY nplllUUlt1Ill KMJIshy
-ryOYlCTR 3aMCHHDIlero CBOlcTBO nepeHopcapyeYlClH
- D oopu pcJUUIIllJICTCKlIX nMea CJle)lyeT paCCMSpD8TL
()(aampe no M aCCqOCKO y poBIIC ) lOJIKO T lUte 1AOIlllJlll H axaHllSw
B3 QDK)DeicrBM llOJ1 e bull bull ROOjlHe )to nyCKBm nOCJlelOB8TeJlhJtoe tmaHshy
lonoe pBCOMOlpeUJle I T e f8Jtf(JJT(U( M9CCWQecfGOOI WUlJlOI8MJf
llI(yTpclDle llenpOTlIlIOpcltllllWC OIQHfOBOnWleDIlX IOOlleJle~
6 Pon KDalITODIIX IlJIHHllJIIIOD
06paTllMCH Tenep R POJIll JalIIHTOBllX np(lllllIIJoD D IjJo(lloGlPODashy
IlIltgtI CODPCWloro 06Jllut8 JIII1IHTODOI TeOplIJI nltWI lanOMHIIII BOshy
nCPBla liTO yse B B8tWJe 50-x roADH 6WlO OC03ll8lfO lTD B
oTJlIfllJe OT KBaHTOBOI waXlUcaq I IAO IlJOpquPOUJW uUlsam B38HWOshy
IlelCTIllIJI Ilrumol COBOI)lIJlOCTil qs= llonycROel DDellelUle CooTshy
llO1CTDYUllelO OICJlO npoH3JlOJ111WC ~IKlIIIlI (nOTeIlQIIWlOB) B TOshy
pu KD8ITOllWC nMeil npoa300Jl B JlarjlllHDaHe B381l11OJleI~8KJ ltliKshy
capoBllllHOI CHoTew none orp8HllonmaeTClI netloJrbllllll HMOM ROII shy
CTaHT BSWDIgtJteiClBU KBaHTOBaSl T90PKSl nOJlJI He ItOrrY0Ka8T nposhy
B3BO1gtBHX IjgtyHHI1Jlt qTO JIlWieTCH OJIellCTlUIeli YOJIOBHR nepaHOjlMHshy
pyeMOCTIl
CeJQeT OIII8TIdlb lTO nepOOJ18lMltHO aTO CDOstOlBO npenshy
CTaBlIJlJlOCb CJlu6w MOOW JmQHToao1 TeOpml DWUI OBJ3poundlHHla( C
HecoBe~eHcTao Jlo CrYlfHKl TOrll8 Teope1H IeClQtx MelOItOB D ne~
lyIl oqepelllgt WlTOIl8 Teopo D03lIYIIeHKA ll]lWllt8X RC)TOpol II oposhy
BO)lU80 U800Jl4ltJt8lll11 n epeIlOplolllpy0MgtCTH B nponaonMltWIO~
alOIQ cnyor a 20 JIe-T CBOICTBO n epeHOPKIIPYOMDCH I KBJI01eHliOe
B BHIle Tpe60Mlllll IIOJlIllllllllilllll4 SllollaJDlJl ClllJlWo 0YIIICC1IIOIurym
15
JlOll1gt ) nOC1poeHl1 O7WUlBpTBOI IO)Aegtl 8lIeRrpoaJta611X B9IlKlolleRCTshy
IlHI B B cjJopMnJlOBIIKlt1I nOHlinJi noKOJIelWl qpMIIOHOB B lBOTOIIshy
~ee BpeMH npeJttr8BJtflDTCJI H8C011HotttlHll lJTO ot1llTHHe llatDtWO no
OJsO MeRrpoalllTIIHIoI B CULIIliM BWDIOAelcT1IIIDoI ryT 0111gt
orut08HLl llaquo)JlJf1lectB8H110 c noYOlllU) nopeuopmpycMllX ltB8IftOBOnoueshy
DIIX IIOAenel
CMbullbull IIDJ1Y paIllIOOI KOH07aJlT8MII BSIIIDlgtAeAorBIlII yOtampshy
IUlllJIIllQl)ICII npllIUlJmOIl JlOIIBJILIIOI 1ltaIIlI6poooltltoft CIIlIITlI ( J(](C)
I~llKe II nOJlllol pe Oilll ocjJopOJlJlPOBaR ija91lOKIII
npmllllll B 1954 r llHroll 1 IMJlOOII ROtopHe H8 ero 0080ue BB8JIB
HOBIliI MIl00 cawoAolOrnyDaIIX BeRTOpIllX peiIImDllI07ClQIX UOiIeR
H83JmaellllX Tonepb R8JI1IOPOBOlHllllB nOJllllll BJIJI nOJlllllll Ru18 - IIIIJIshy
)lea 3tlt nOJlB nollODK) OBOBX B1ryTpeHHHX ODOI~B CBSI30lDDJX c
HMIIIleluoonlgt CB060)lllllX ypmlHeHd _eHlll qllfeJlgtllH 0
TOIJO 3peHBII JIX B38K11OAeAOTIJIII C IUlYnDUI nllMllH MilllllJlanHoe
B3I11111OAelofllJle llt8JUlOPOIlOIIIoro nOllJl C UOJIJDUI ~eplDl O)lllOIUIIIIO
no cjJoJlllO bull xBpeneIll3Y0l0II o)llloll KOSOrBlI101 OBRbullbullbull B CJf1UI8
noaOeneBB nltWI Tn ae 08II8Jl KOIIOtWlttB lIXOJIII B ltaJlJlHollml
OHH CBOOO)lllOl YJl8lIIIeHBII nOllJl
K JtOJUlY O-X nlJtOB BWlCiWJOOb ~o Ppound fOUKO aJl8KTPOMarshy
1lIIlHHIl )o TaJalO OIIaOIiQ II CUlgtHliO BaJec~ OopeROshy
CJI K8J[JJOpollOIItIOII BeftOlIJAII nQJlJlloOl BCJI8)CTBHe qero II IIlJlCTB8
B38J111D)1e1OrBy-IIIIJOt Kll8lITOBUX nOJlol Ollpe)16J1J1n1tYl) poftb IUpam
BOOro 1pIl KORCTBKTII OlllllB BRe paYOR 011 CTpollROIl bullbullKOBO
Bol K8pTBHH 007801011 IlOnpoo 0 KBWlTOIlOI TOP rPBBBT81U11l
3ltecamp o1XJ8JtO ncRBlUlWCb 1it CJIlOOtDeIDlO OKP8nu as uocneJtHK8
lOJ1II BIIA_ OBn8lllOl 0 oyn~BpII81 (CtCH)
16
Kax llaoeCTHo CyCIt c_eT MegtIIl 00601 qaC~ c U8JIIIIIJI
B nOJlJ1lemD4lf CIIHK8MB (TOuee - KBaHlOlUIG nOJUl no~eQII
lt10- II gtBJNII-IIpeCftlBOIlOtIIUII COOfBOEBBlIII) UOAOOSO I0Il1 K8lI
rptnmlt lUI11peHHeI OBIIIIB~pIDl I181JlIII8P IlSM0IDII80K0ft OBIIUlUlam
ltPT C JQgtYIOM UCIiWY C OJ[KB8XOllDOl COIBS Jl 6na3lUllO M8QC8MI
O)lllBXD eye n JIBJUIOTClI BlI)lpeRHoB o aPoaA a npe)1CTIUW8T
co6oll ooo6oe p8CIlIIlpelle ClMIeTpHIl COO1BBTCTByuJlel rpynn U--
IUlpe 310 olto6J1leHBe OIIITOe 198 1lt8 7O-x ro)108 npeJ1llOJlllshy
ra paCIDpB 4-oIepeoro DjlOClpBHO 1mult0BCJltoro 10 middotcynapshy
UPOCfpBHOTB8 KOTOpoe H8Jl1lA1 c o6IlIIIIIIIII UPOOTplJllTJBIIID-Ilpeshy
MBHmDCI KOOPJDlH8T8MJI COABJlIllT JlODWlHHTB4bHHO CIIJDIOptW8 8HTIIKOIIIshy
iIlTIPYJJIDe lIeJU1 oo6oil c qpom-llOJllllll 1tOOp1lllHamplW - 1BIt Haa
06paBIDJIjIO 8neOpu IpeCCIIIIH8 ifmleltcOil paaJJBpeHBII cynepcTshy
pHIl DP~ TaI IIIl3IIll6llT ~oe ~IICJ10 IV I8l108 TO IIICJlO CI1lIll0Pshy
HIiX rpacCollBHoJlllX OdPB9)IICBX _ 0 2N bull B Jgt8IIIl cye 1I181l1OIIIIe
UOampJI rpynnJlp)lltCJI no 0PBIIcf8amplle rptnmlt C-C npeoltlpasoJl8l1BI
OOpllBYIl COltnBBTCTBJDIIlB IIJJlIIUOTII coc~bullbullbull 001 pIISJ1lRshy
IDIX CUJlBOB IUIR UeJIJU BIt bull OaJlyIl8J111l[ (aqO - cynepnWJJI)
BoeAcTBl6 8~OPO cCa YOTABAfIBA8T uPOCTHU CBRUB we~
kOHOTaM ll38JIIIO)telcTBIVl HOKOTOpol OOIlylII00Tll 60samp- H gtBpshy
lIII-oOJIoI 06pas-DIIoA cynopnOJI 1k~8110lilUtll CTPYIIT)pu D8POHOPshy
POSOII jlIUIIl CyCw lOO)1e~el 8118 B cepelllJfgt 70-1 lOJIOIl IILIIWIO jlIUl
38MOi8eJlhRIU OOcTORTelhCTB OILaaaJlOCh ITO B l8KIQ MOAIUJa
UCTO OPOIllWlOTCII TOBJellllBll K COKpeu811111l peCltOIDOCTB aw 06I18P1UHIi 1I0)1emJ lBrpBJmIAI B38IDIollelcnaJi TOpIX ltllA1U
npa)1C~8MeHII qOp8B DOJLII OOPBB1JIIIII8 cynojllOJlil IIIIpIIlIIlIITCII C1llshy
Mol OUlOHOII IUllUUltI lIS TOpIX rpe01B lI1I6HBR 080K0Henu KOIlty-
lUI8HOB QIH8xo npB nOJeWDl C1llllll BUllJlOIl lUWHOlO nopllJlKll
110 J OT HOe CllllIfUUAlXampfUp6HDBHll O)UlSwa88TWl IlOCT8TOUBIIl
HeltSoJJtoro uam KOHrPU8HOB He l18pJEWIIIIX 0YIlOPCHMMUT)lUD
17
OcuomISR wacca KQHTJU8UOBpaaeHlDlX lapes lICOOT1ULllRllllBe- cyshy
nelllYTHI1Je~ nOJlJlt ItOMDeH0Ilpy8T APYl APyra lneo~ 0Ita3WJla8TCII
DO~ lIIYDpClBllllgt II]l8BIIJIlI ~1BII8Ba HlmOOpOAO~B8RBO JlIJI
OynBpIOrid Ecn npoBeCTK 0URC8IIHW8 BlUCJ18lW1 no oynepnpanrraM
~_ ~O ltOllllleBOIIY~eCR peOXO1lllraquoDcmI Be B0811l11Q111r 1ClO6ae
loo ~~ _aT SBeOUJ IICOJlIII80K1Jgt 8IaJIOIHD 1I0000e OOSshy
IIIIJWI KOIIIUI ~ 101108 KOB8PIf4IIHOI eopllll BO~ B ItOshy
Cpol HUll bull 8B1III401lllll B BIIpTyamIIIU OOOOIIIWIX OJIJII 061ampshy
JDlHeBil B a_a upooar8OjlII mTUlt806epra - ~1JDmBa OIIoUUOOL
qO CMmen pampCI()lIIJIOCft Co60T1eHHol Bepro 3Jl8JtfpClll4 bull KaJ
nOHIBBA8CL C ~1B01 110 40rap~8cxol
lIaadoJIe M C 4gto01lleOlltol 10 Bp8Bll11 lDWDllCII up8p11
nomoA 1UlIIlJ1ilI08IDIII paogto~1 B 881t010pili CnellDlIMX IIlQJlUIIX
Pen IIJlOT 0 IlD 1oIOIl1WIX pacup8aaol (II gtI) C)Clt 00Il~shyIIIIIX oaO IltampIUI6pClBOIHIl1 n()lll B ItOIOpili BLIIIJIIiI n shy
IIluco B nep8BopllllpClBll1 1lQII0T8BIII 0l1li8amp bull TOlBOCTII kOIIIJelloPJ-
Dr _ OIIIIJIOpiIIIX DoJeI IIIlTIIJIIII Dpil STOW 0ItM 8 tCS ITO
np nDCIBAOMTOOI flBTe CyCa 118 n~ n ex Clampshy
ad T e npJI 1I0001ln10l6JDlI OJUBpiIp8BILl hlJDmBa bull l0lppaA8Ogtshy
ue p8OX~fi npClllUampOpoB bull BOpGHgtltIX ltI1HIltIUlI IlOTOpliB DPII
n OJtQIiIII0H8STJIKI BiAlCteDU OaamplIWBaIJIrml BI8WHO CHONIIBHCHPODEUUWM1t
raquo n epe80JlDPOJ1K8 ~ I ll6 BOIIlDADT 1IOa08
l8uII 06pa_ UCIIfIOBil cepJ88B110 JPI8IIU U DO_OOTlo
C1lOHOMIDIlI IIIc1o1w101O CD CUllUT8IlIIIa 1IOJteu1 IOIltIIIJshy
Hoi DBlItOBOI TeOPU DOampIl bull ~puaI npCl~CT~ cmo-
6oDIa Ot JnTp84aOTOBDl paoxo~l
lJoIOORIlte ~ IoIOrrr JDlIlUCII TeopeT1A801lO1 00801101 T6amp01O
-ug- OOteunVWB ~IM Quel - OJD8~elDUl
up IlOTOpCM B o6IaOfi OOll1OlBO 00amp1[[ lIJIoprd 0GEWltB0IJII8JI
derJIIILIIa sIIIIUDIIU IIOBOTRBTa 0111811 1i n epaollu 6uau 18
T e MeRRT hCg c A8AhUe~ POCTOM 3HeprHH H ORa3WDaBTCH paeshy
HOi3 HeMoOpoA KOHcrrurre d I K01oprut ClOOtlet(ttByel umshy
cNUIte Ctlll9l OrosmteA B AarpaHIJUme B UpaltT1J1l0CKHX RH3JltoaRe~
lO-TJIt[e cJQtX mABOJIOJOUlX J llB4BHMe poundmCCH DOJlHolO 06~eJtK]teHlUl
lllltOIyoae1 B lCjljleKTHBHOro HMDyJILCB 06peaIHI C OqlUl 3pcshy
mt1J TSQOC BllnICJIellHR 13KJ1QD JOtsrpawc co cacpxTJmelllaQl BlPlYMb-
1lJ1MH qOCTHUStm IwpmeHCHpYlJmMH paCXODlIMOCFU JIelfCHX JDJorpor_
MOSHO paCCMaTPlIBaTL IWR cDOco6pa3UYU luntepuarri3~lJrJl mrXOB
fiaYJIH - BKuapoa 11 bull
YAh1JXMIH0JI9TOBWB paCXOlDlJrNgtCTiJ lUjClYIl81JT UP 8lorrd trotlt
napOJRTHUO 34cento It1U I c ootseTCTDyxqae HU 41nute ltMfI a KCKYCCTshy
BemtO D03JWKlmte BCJI9Qc rBB9 aecoBepmeRCTBa TpamlUROHHOro MSTOshy
Ila BCOJOAOllnllllJl pIIsIleJUlDl(ero eJlllwij oynepollMWltpoDlJtli JlarpeHshy
Daamiddot aa HeCHMUeTPlfIlllLB clJsraeMJie KOTOpLl9 He nep80M 3Tane u-cshy
eJlOIlllllHll paCCPHllnIIICR OTIlOJlJolIO AP11 OT JlP11A
YnoltodJUl MlIp aaeMelitBptll(X B3WMOlteilCTmrst LUlCTlUt lS 3JD1UJOU
Base C Wl8BlllOOl ~poltruIH lUIII O 8TYO 6onzmu p8POD II lIIw-Ka- CM9tOBaTWUI - rmrMeD KOrOpWl OfKWlHB8eT 0 1 BB3l KyCOlBK
H YHocn B Jla60JlllTOJllW lIIJl aHaJlBQ lnpe HOKOopoe llpeMfl OR
maal Doe od OroH1OM IIIYOKe R flHielO 0 cOOYJe 11 LtBJ[OM npl(
arrOM 01tJU1Iro KPOMO TpartJflUWlona Jlt160plTOpiUlX CpcoOTll It 060shy
PYAOBBHHR MY nOTpeOOBaAHOb TaKEe Bon sara B 6HHH lIIJl Jleqeshy
HRJI nope30B JUi py lQU 01 OCfPUX KpnCD OCKOJIKQB na3u PacxOMshy
MOCTH I KOUrpueHli peryJUlPH38llID1- B03111lU10 TaJCKe K8 uymw
Jt1Ul noHlIlampUDlll KaprHHW B3antOACIClDHII n llCJlOM t KaK He ftYnu MOshy
DK1lt8MBH1U DJlH BOOJleltoB8JUll1 ueJIolt B83b1
fioCJIBl(OllDlOJlblU1R ytt01 TpaX KDturrOHllX CHfIo1ft-TjllI1l COQfBOIshy
C1BYIllUdl IllC XPOHOJIOIVIeCkOlo) nOJlllJlKY HCnQJh30BllBIDl lIlt)JteT OllTh
npenC1~eH B BIlJlO IlODOJlbllO crpollHoro PfIIln
19
1 IIepexoA OJ lltBIIHoBOI IIOXaKJtICJl R DepeRO~pyelOJR _shy
TOBOR TeOpm DOJIJI ( yln npllJUWUl 1Dl) njllIBQJl K tOtq 110 BBllSH
lIYHlWBORM1gtlI01O npo9BO110 X8pa~DJlIYlO noeJl1DtWIIJlol ijJyrutshy
JSol t WY nanylpoundllm JIJIm 1l000P OpB3BOJ1bHHX DOClOJUIllla - ltOHCfSHr
CM3R
2 yqe D]lIIlUUI8 IKC 0 meJIellBo Ilt8lIlWPOIlOIIUO OMO
D]IIIDOJlIIT P yctBHollJlellllJl eMol ( B npoCTellma CIIJlwtl paBONeB)
~ ROHCTaDT 838JOOJAelcTBItII ASHHOlO 1WllI6pollOIIUl1O nltlJlJi
deg n pD
J Ieno_o nplIHlUIIIB eyea BBOJIa 8IIome OnplUl8JI8ll1Di
1l860pu ooeTOlIIIIe gaR lI3 60 aK 3 4eplOl-DOJlel (eynepshy
tqJUTlWlelll) SIIIDIDAea01BllJI lltOOplll[ ODBeWlSllCJI ollllllODellKol
IltOHOURO eM bullbull bull
liaKoaOD OpeACT8IWIOlCJI BeeWOi eMlJAlWOl neponelmlllS
eI1O aTona
4 liaJIOlIlHle pe60B8IIIB eBDplIllepoHoplOlP1elOJ01II ( nPKHIUIll
CIDl DOHIIIIIIOa 10 YeJlOBBO oayTeTllllll YJIgtTJl84DI~OT08HX paoshy
lroJ1)llllce B 1I01I8lIJD( oollo)ll8UX paClrOAJDS)01II no 4oJlMlJlHIN
n~3HaKaM C~eTQ cTonoHol D~e H ax npoKaBO~ D ~Qrp8HKRQ-
He) DJlI 3aA111HO 9118qemm emma Yl8CtBYUIIIIX lSOTBl1 4aultCllpye
CYDepc_pIIIllYD 1OO1leu nMIlI8I OTO erwl p8BItII)I JtIIY)I DMYshy
SO lIane AOOTII OJtlIOIlH8lHOlO ollJlC8llllS po B31l111OJAelCTBlll 1tB8lIshy
bull 0BlIX 000 B o611B011l )lOCT8tOIII0 BWoo Keprlll
Tew C8IIIDI B09111Oamp8O ns HllIIIIX rJJ83U H8qm8H OcyJleCTlllUftshy
C8 M81fT9 alHll1elJta naee laquolew n0JIYB8KOBOI JUlBHOCft bull bullbull bull MY
XOTD He TOJIlgtIltO HOn 18K y01poell8 OpllPOAB ( II npcllCXOJlllt
trpIlpoJDtHB JmeHU) r 80 bull 00 803MIlampHOOH llOOTW1b ~ llaquo)Se1 6Y1ltl
YlODBlecbullbull ApaROI 18 II1I)I - YBHBU noqetq Il)aPOAB lIIWI8CJI
ftMOHRO lalltOl a He lJJYtol2I bull
20
KaJt YSI OTMIlQaOClgt IICO qeH njllUDlKIlll - 1IlI IIKC eye cmr - no coool DptfponG RBImrOa HltaHMmuat TaR KBY JllR HX
ltIxgt ptqUPOBKl HOo6xo_ lltoro KIJ8HIOBIlt nOHllTlIR
DOIDmIe ltfJa3H 8OJOIoooI ltfJYHKUIII R He33BHellMOeTH OT Hee H86shy
AI11taOMWC BeAMRIi
nOHJIIRO 0 paSJIiltOlllX KB8ltlOBUX ClOTilcmuwx B 0 (1030- H
~JlIIll-l1l4IlX
OOlurroe deg nponcxotlllellltll bull CTPYKTYpc YJJJgtpaqmMOlOBWlt pocshy
XOJDlllaquo)CTeA B IQlaJITOIlOA TCOpllll UOIUI bull 0 II]lIlllllAYpe nepellopltl1polgtshy
til bull
Kwt Mll y6~ltWDCL nOCJI9JlOMlCJI1dIOe lUl[J0JI30BQUlle 3TUI
KBaliTOBW DpIIJillHUOB BBObullbullbull MOOIIYll Jtere_CTHcelYll O1pyn B
up KBWl1OBUX SlMeHB KOlOpwt II OCHOBe cnoel nO)tlHUen CTBTJlCTHshy
qeOKlDt 38SOHOlampePUOCTfDII
JlnepaTYpa
1 IilJlPKOlI I(l SW 1983 H 1063-1072
2 JljpaJ [[AM UpJllUDlJlW ItBlUrroBOI MBXIUlHIOI Iayxa II bullbull I~9
c 4(13 1Jy1I tdl3JIItJI JueprooT0I0III9JIIT M 19I13 0 4G
J tSooft G Phyenalao R~port s 1Q84 1]1 1~_I)~
4 Nnmbu y Ph61 cft Ne~ort8 1994 l2 2)7- 8
5 Gultat50n T Arkl v ( Watb 4strJys 1)46 )A 2 t
Spbullbull B R JllalhlIl7obullbull1968 l bull 1404
6 tJtloort Q VeltallUl)l Nuol Fhyens t 1972 i1 J131
7 CoOoJlo C n ila7c c60plllUt 1936 T ~ c 39
6 Sailwllrll L Tb1 rr Itl8 ltt1Itrlbutlo41IAlnDd Poria 1950
9 SoIWlllOOD lUI nape OC 1957 Ao a _h lZ 227
21
10 Bor0JID60B HB R IIJIpKOB nB BBeJ(eHHe Jl TeoPIJll KBIIJlTOBaHBHX
nonea U3Q3-sBayxa M IIrn6 ~ 113ll4-et Hayxa N 1$4
sectsect 2930 11 Coleman So Weinberg I Phybullbull Royo D 1973 ~ 1888-191 0
12 fiIlp Il Il H Jij) lB 1982 T 35 c 1221
13 Bop U Pbybullbull Rbullbullbull 1935 ~ p 696-702 DopeBOll COl ihlJoo Bop 1l00)lOJlHlie Tp)tll T2 HayRa M bull bull 197I oIB(-I91 Bop U lIa6paH1Dle Tp)tll ~ 2 11ayKa 101 19710526-532
14 Shirkov D V In onlineAl and Turbul ent ProaOS888 in Pb1 shySampgd R Z HampMrood AcadPubl II Y81 cmiddot vol bull bull eI bull
1964 p 16)71 IlAII CCCP 1982 263 c 64-67
15 Bor0JID6oB HR bull mwpKOJl nB bull IlAH OCCP 1955 ~ 103 o al3-al6
16 Biuok~bra EC Peterann A HelyPhTbullbull Aot 1953 y~ p 49~520
17 Gell-aampDn a Lo_ 7 PbJbullbull lev 1954 v~ p 1)00-1)
lS W1180n X aev MOdb7ao 19BJ 22 p 58)-599
19 r OJlloltlgtUUt IlA Ilnu Bn n0l0IIIIl B J)iqI 19I 13 452
20 Parkbullbull A and wbullbull t P bya Let t 1984 v ~ p 99-104
21 31bmTeIJ 1 0 cOIIIUeHHOM OOCTOIIBIIl ~eoP nam - COOp HBrUI TPJIlOB T~ HayJca Yo 1966 c245
PyxOUlC OOCl)1IIWI B H bull lM9JIlocKHll OTlleJI
9 OKI86p~ 1985 rollB
22
bull
W~DK08 aB P2-85-729 KBaHTOB~e np~H~~n~ 80 B3a~MOaeHCT8~~X none~
B80A~TC~ nOH~THe KsaHT080iO np~HUHna KaK npHH~Hna npH OOpM ynHpO BKe KOshy
Topo r o c~ecT8eHHO Hc nOnb3y~Tc~ KBaHTOB~e npeACTaaneHHA H cneUH~H~eCKHe KBaHTOB~e nO~THR Pacc~aTPH8aeTCA ponb Tpex TaKHX n pHHUHnOB
npHHUHna nepeHopHHpyeHocT H HH a4e - KsaHTyeMOC t H - npHHUHna noKanbHoM KanH6poe04HOH cHHHeTpHH - nplo HlI lo1 nA cynepcH_eTp IoH1
B pa3SK TH H K8aHTOBOH TeopHH no~ B CBA3K C nepeWM 1013 3THX npHHUHnoe aHan]H py~ l CR eop-nbHaR CTopoMa CH 3H4eCKOC COAep~HHe npo ue AYPW ncpcHopHHpo eOK 8 KTn ee C8A3 b ~ HanH~HpoundM ynbTpacentHonCTOBWX p aC XOAHHOCTeM H pe HOPMr pynnoH n p HH UH n nepeHOOHHpyeMOcTH OOPMynHPyeMWM KaK rpe60aHHe c~eCTBoeaHHA BHyT shypeHH e HenpoTH Bope wHaOM Ka~TOBO~ epc~~ A~HHO~ ~~eJ~ B3aHHoAe~cTHM non~
oKa3BaeTC~ 3KBHBaneM THhUoI YCI108HO KII3 HTyCHOC TW nH K IIHrOBOC T~I nCUC83aHO ~TO noc~AOaTenbMoe B HCTo~~eCKOH nnaMe kcnonb 308aH~e Tpex KBaHToswx np~I ILllolnOA Dce 60nee orpilM~4H9aeT B03 MOlliHbH AHlfUMo14 eC tue Mex3HH3MbI 83aHMO shyAe~cT8H~ KBaHTOB~X noneK
P~60Ta awnonHeHa B fla60paToDHH Teope TH4e~KOM ~H3HKH OHRH
(JpenpttMT OI5be[lMHVDloro ICC1MTYTa JIIAepx MCcaeao A ilYe 198)
bullnepeaoA a lTopa
Shi rkoy DV P2 -85-729 Quan t um Pri nciples in Field In t e r actions
The concep t of quant um pri nc iple is introduced as a pri nc iple the forshymu lat ion of which is ba sed o n specific qun lu~ Ideas and notions ~e consi shyder t hrae of such princip l ~s
- the princ ip le o f quant izab i lity - t he principl e of local gauge s~etry
- the princ ip le of supersymrnrlry and their role in devel o ptlen t of the quantuo fie l d theory (QFT) Concern ilW the Fi r st o f them we ana lyze forma l aspect s and phy~lca l contents of the rcshyno~ll z4t ion procedure in QFT its relation to ultraviolet dlYergences dnd the renona-grou p The renonmallzabl li ty property formul ated as an eX i stenCe coRd i l ion of self-consistent quantum ve rsi on Wllh a ]iveh mechanl5lll of the f ield interactIon turns OIt to be equivalent to quantizab i lityl t i s ~ howo t holt the consecutlye from a hls torl c~d porflt of v i ew uie of these qtJantuln prlncip l e~ pull ~ tl l l IQrger II~ i t~t i on5 on pOs~ibla fonms of field lnt~shyract lon~
Tht illvnSlif)alion tws ~en performed a t the Labor4llory o f Theoreti cal Phy 5Ir~ JIHA
Prlrdnl or 1-1141 J oi nt Inetitute fo r trucler b rch flubna 1985
IIpexzte Bcero C--leltYeT YCTaHOBHTb ero qJH3HlIe CKlli OMHCJr
HauOOJi08 npoCTO aTO 1KlZH0 onen8TL Ha MaTepHaJIB n epeHOJllDpoBKB
J8paIl8 B tcBaH7OBO~ 3JlBKTpoJlHnaMilJte aTe nepeHOpMHpoBKa B Citshy
~y T~eCTna Yopno ~HOM Onpe~HeTCR nepeHopMXpoBKO~ ~TORshy
noro nponaraTOpB DPHqeM npoJiJSBOJI B 1lli6ope )tOPMllPOBKH noCJIeJtshy
Hem nOJUlOCfLm nepeHOClItCJl Ha era HUBllpH8HTHIlI 4-mmyucRUI
8 PlbJHT e H8 lOoUIYJIbO ~Toaa S38mCJ9itMgyDllero C 3JlBRfPOshy
HOM 4Iinrqecxoo 06cyQ8HB8 RBl60JIBB BlleKBaTHO TIPOBOIJBTCJI 0
IOJlOJIL30BaHlleM peHopriIpyrmoBoro nofUffHJi XHBB_pH8HrHOro (lm81fe
acentoIIoKTlIBROro WI1 6oI)1llom ) 3aPJlJtB TpoHa ~e 4YHlltIl)UI d (Q ) OIlllCT UlleHelDle C HiDlyJILCOM ( a ee JIIIJUIWlIIIKll cliypreshy
06pal1 lt (~) C paccTOaHIeM) ~Ia 3aJlWl BJIeRTpoJUl
CaM qntcr BD3fiKKBon8Hllll TBKDft 3 8lmClIWO Ql1l BIIee DI CTa KBaRtOBYr
rrpapoItY OHa 0lBei8eT ~KTY tl8CTRIQI01 8KpwnrPOBKl sapsmn aJJCJIshy
paM 33 OtleT npoueCCOB DOJ1HPZ3llJlHl B8KYYJW OBOzvmBXCJI K
BHPTYalhHoA ~CCoQlaUlB ~ToHa-npo6HflRn Ha BJIeRTpoH-n03KTpoOHH9
nspu
KaqeCT~eHHO 3BBilOitMQCTb ex OT l Rs o6paK8H8 ceNe ttcT -
BOM KjnnlWX lUi pHC 1 lltaaJlBH K(IIJl8I OOOTBeTOTByeT 1lO3Ml11tOlij
nOBCll8HHD a4JPekHDltoro aapsma no HMOKBfUU YCJfOBHJl COOTneTshy
OBB8 C l3 rCplleMLDI H8 OIlHe sn6tteKilcM 98pattB aJIeKlPORa4 MlAshy
HO alO YCJlOBlle H~ II mme ( O J = 113 Te liDOshy
IUIT OllllO iIlHQJlO HeRO I lITO B 60l1ec o6utQW CJITlse ~BR K3 KPlflUIX
llB pRO I IOgtItlT OIiJL OlllJOH8IHO onpelleJIelUl roqa aa WlOCKOCshy
~H ( IQI bull clt ) Te ]IOOpsHa ny roM aaJl8Hllll tIlyx ttBpaMe POO
f II CI TaIt1JM 06p8SOM lITO ( fo(t) ex l bull C 01 0
TOlKll ap91l1JJ1 nBpIUI8p IIKWIJI t bull B03HEXA~ B npouocce
10
ncpenOJlUHPOBltR eC~lI npoclO fODYmi 4- mmyJIltCD qoTOJW iJcnorushy
3yeMOlO All11 H~MOpe-HBB a8ptUta R eliO OrCrJItSl I iTO BOl1lJ1Ol0Delme
HOllOm ( no CpIlBH8l11D 0 KJIBOOJlcCKIDlt arpaHlDBHoM) IUlpallltlTpa
lJHslJIIecKB CliR3rulO C ilopexonoM K KDaHTOOOJq paccP60rpemm n HO
C ClHlyJIIIJlHll x DpalITepo YJlLTplcjiIOJIeTOllWX lIKJI8JIOll ~ IX nepeHOIgtshy
IltIlPOBtlt8Ml1
TaJltHM oOpaaoM ~OIlOJlHflTeUlildl ttBpaMeTP ( n oOllle CJI)Iqae
KX Jlaquo)IeT 6111amp HecJ(anMto) eon pe3ynLlllT nepcxosa OI CHc1eMl
JUlBCCB-qecKltX 1l000el OIIlCIlBB9)lJ( HCXOmWM JIarpaHZH3JiOM I R 0001-
EeTOT~~Oa KBaHTOB02 3~~e B 06~M ~e XOPOWO H3BeCTHO
1flO tJepexolt Ol Maccn8CYOSi OHOTeMU It KBaHTOOOA He JIlUEFlOlCSl
otUto~nwttHWl O)tHol KJtaoOJ1l8CwA CBC1ewe DOO6lIlc tOBOpR t OTBCshy
ise Hs60p ( IIOgtlaquolT OWU Oec1ltOHelUlI) IltB8HTOBWlt CJOTelol Boop
M~ HII11 paOye BlelleRIIH II ~CIlPOBaHll1l HCKOTOpHX lI0nOJlIDlshy
TeJILHHX MpaMelpoB ~a MlIen eoaxOuH1 It 113BeCTIlllY eUCKtl3ll1lllJ1HJIM
flIunCB Bops I3~ llJIIBC_ K ~pMYJIlpoBj(e npwma lI01l0JllIlrmshy
HOCtH a ~8JrJlD ltpiDpoundDlIIIa JJU[hHOOlB Hx 0YTraquo CO CTOZ1 n TOM CiTO
JWI nOJllloft onellllltmltnlllJll KllaHTOBOI CIIOTe IICOOXO)DlMO 38Jt1~L ee
llampBKpoCKOUHlfeCROe Olltpyampetale tl Ie Y Ra38TL rIBKpoOKOnRtJeCKBe
npHOopu 11 YCJIOBtUI pellllSl JIMrulo 01111 II X8paIlTOjlHaymcq llOshy
nOlIHJlTBJI napaMeTpaNII
OllllWCO pou napruoeTpa mRaJIU He 1I0QepllIiBaTcn Kult
daxo O~MeqeHO BUma OR nPHBO~T K cy~ecTUOBafiHI) peHOpMrpynnH
llM TOm ToOu npoQllItII~b COOTBCTCTBYIII(YIl orallY paccY1IIIeJllI
BeJlH8MC11 H pHc 1 bull ~OnyClKM 0 DU60p ommll 113 RpHDlIX npoll3shy
BelleH YOJIOIJBew d r~~ i ) = at ~ ITO JIYeell ~BJlO C 6031180Coshy
BOI Ollllos9JlfW101 ~jlHl HanpHMBp 6eocoooll MeKTpo)lllll1lMRshy
1lt01 PIgtBlTl1IllIlt 9a~ tgtallO Tcnop Opa~CraBlIb 11 lllIJle ltiYJultIllII
11
(0)
oil -- - -_ -rI _L
1)1 _ _ ~ _ __
_ ~ 1
Y Q
PHe I Ka~eeTBeHHaff BaBleBMOCTb ~K~Oro aa~
OT IIIIII1J1]C8 Q B K3JI 1000Bll8 Clt (r l ~ r ~epI8~ SHOOp o~oa 3 D090QIBHX KpEBHX
(Q )
012 ~ - - -shy -shy
)J1QJlI
lIIe 2 b CIWI XplUl8Jl 0 (Q) -0 dim pxcpo_ 001 IUj)OI ( C( r ) T8Jt 1TOO1i a(N lt1
IloIlllODOCU nepoXQM OT OJDIol napoKBIJlI188ll1111
( 0 I 1 ) It JUlyrol ( 1 ) 06Jl1181~ lol1lleClt1 OCH081 POBOJlllllU8IIllIIDllHOI rpynnw
u
lillY Oeapo3MepWX a pl)jleIiToB Qfl bull 0 T e 381ll1shy
CSTgt B lIIlIe j (~i o(~ ) ilpil TaKO BlJle 381ll1eB CJo1UeT gtleTt
B BIJI3 0 napa ( ( 01 raquo COOTeeTCT Jm60a 01llte
rae a6paRHol KpaDOl PaO~~TpBM Terrep_ onepoUBD nepoxoAa OT
oJljoA rrBPW U8UpllMep (tlt 01 ) K lIPyroD ( i~ oiL )
JI_al Ha Toll a OSMOl KpmlOl - eM pHe 2 lICHO TO ~lIj1II
OllCliB8DItI1I JltpwHYII _aT Olin epa y enexoM n apallOTpil3088IUI
It8K OlCliOl lIB BlIX Tal H JlPYIOst HIwMB CJIOBaMll JJOJlampfIO HweT h
Me CTO paBe HCTBO C( qJ- ~I )(lQlti~ i a ) rlle Ol8mutHO
= ( (I (~ ~ ) bull KoMII1HIPYJI nWllellHIle COOTHOnlellJUl npilshy
XOADI K UTBOIIY ~01l8llbll01O) ypoBllOl1Dl IIJH ~KMOIltOro
aajlQB
[(X olt) = (yen~Z(traquo)
3To ypaBHeoe t M it II ere 06061ll8HBS1 un 60Jtee CJlOKlwe OJIYqae
~SKHT B CCHOB8HKB M8~K8~ecKOro annapB~8 MeTOna ponopuaAasashy
QlOllHol rpyIIIIi npoACTBBIJIJI coOol ~PlYJBPOBl) eDOleTBa lt1YlUltshy
QlOHallOA SBTQMOJlMbHOeH 11lt1 BoIee nonyJUlpBoe ABifgtilepeHQl8Jl1rshy
aoe ypaBHSlU1e DQQWlT 9 HelO npo AII~poHUllpoBlIIIlIe
OrIIe~ lTD DplllO)l8HB8JI gtAeo) noq peCCYIIlIellllft l BUshy
BOA ypBBHaHBJI OWlll anep8llIlBIIH B padOTo Eo1OD16osa bull IIIIpRXgt-
Ba 1I5 uellto BOCXOlUlllO K 1III0HepOllOi po6OTe llTIIlteJlb(lepshy
18 B DepIoIlII8 IIG C AP11OI C~POHII qeeHHaff 1lt8pBHB
JI B OOHOBa BSlIOCHOI po60U Ieu-Mamllhloy 117 DpolOAJIshy
~ K 8lQDtMJleKTIIlOl YpaBBeRllBM beer BeObMi8 ourmoe pSJIlIecltOe
COlleJampWt1IIe KaJc 810 oc06elDlo SlCKO liB 06cyqeHIUI IlPBBeAeHHoro
B IIe B OCHOse MOl JalPfIlHH OUT npe)leTIIIIIOKlle 0 Ha60po
HWl01lBJ1LHJa nJlll6JJBaeBd K JlO bHO IltSaIlTOBOI WleltlpoJXIHIUIIlJttl
llt8ampl1oe bullbull JltOropux 1oI1X8T Owu xaPOJlII90ll8ll0 )lIUIJIYOOII po
13
bull
elttpo R B OKTJlKOCIQDI S8Pf1110 e TIlJOIO pBM3lBl1lOIO
OKlPOHa Upc06pl30B8lllle DtmIlII8lIeHTHOe peHO)lIapyunOBOlIY_shy
HO npellCTaBHTL c060 JltlK nopcXOll OT OJIHOI HMOK8ll1gtllO annpoKshy
ClUi8DHl1 K JUlyro8 TaIaDI 06pa90 D OTJlFIIe OT DJlllrllll3l0IW1Il10ro
DOCTpoelllll pcHO]raquoltlpynna Iou-IlruUUl bull oymiddot eCT lpymta Upc06shy
paO 8IltYTp IIlIOaeCTD8 HeJOJlt8JgtBHX MOJleJlO K31I lUellllo OHa
BeCbMB po(CTBCHHa panopcrpynne BKAbooHa s CrBTlCrlflleoKol
qm31lJ(e rAe COCT8lIJlilJIIIlle nMPPYrmy npe06pa3oBpoundllllllr COOTom D
K8JUlHOBClltOM KpyIIHBKill aJIeWDBIfapHWX IDlltpooJtOI1lIIIeoJOlX 6JloJtOamp
aanpawep dnoKOB OllHHOBUX peweToR
5 rtpHH1lM1J R1UHtyewocTH
Bo3DpaIllastC R np(llJlKlD1aJ1nol CaPOHO onepa1Ulll nepcllojIIGIshy
POBKII KOTOpan 06 C)IJI1laJIBCh llliIIIe 1l KOlIUIgt pa31leJl8 3 3811eHll
1TO B CBeTa npoelleKHHX TaM npmtopoB Calm oD0101BO noponoptJlshy
~CMDC~H MOampe~ 6HTb paccMOTpeao C Honoa TOqxH 3POKaR
06_ JlOIBRY pacO)lJl1lCIDtII M CTa DO JUlDy y r Jlo lllallshy
TOBYI 31lJ18IY BSlIlIIOOllelCTBlIJI OM DlUDIlI ITO aeuePaHOpoOpyeshy
MOCTL 3KBHBanC~Ba HBB03MOODOOTH nOCTpoeRKK ~oBOnonoBOI
IOOJleJI1I C JtWIIIHlI LUlXIlIIJISIok) B381Do1OIlelcIBIlJI noJIel Up llsrJlJUle
o l8JltOI no31lUlU omuLBBDTCSI paBHonpanRHM gtttenll qeTYpex4Jepaashy
OHllOlO B38H1OOIleAcBKR ~pMH H neeDllOBORTopHOro B38BMOJleICTBIR
DlUUill I Do aae IC)a6Ih ttC8BAOCJQI4SlPHOro DlUiBOXOlO lJ381D1OIlelcfshy
BlUI ( a OllHoR JIOHOIBHlOI OWlllII T o He conpoDOQaellWl npJDIHII
DII0H-IIIOllllHlol B381Do1OJlelcTBHe ) a llt8JIlI6poBOUIWI Iok)IlWDo onposhy
CJl811oro D8lDClllOaOTBIR JIOIIIOHOB ( a UeOKOMneHCftpollllHHHllll Wloshy
1IIlDJDoIII) Bee u 1ok)1I8J1lO 08 Iok)ryT 611Th ~O a RORIlX-060
nOCJIeJtOBaTenhltHX IG8JlTOJUlX 180131 IlOIJl K8K COOfBeCBYD1Ol8 dacshy
e90om (VIllI OJIYlWlOCHIOCIQe) uptlJlMll
14
Teueph MOIRO laTh npoOTYI ~PlIYJIlO POBKY nplllUUlt1Ill KMJIshy
-ryOYlCTR 3aMCHHDIlero CBOlcTBO nepeHopcapyeYlClH
- D oopu pcJUUIIllJICTCKlIX nMea CJle)lyeT paCCMSpD8TL
()(aampe no M aCCqOCKO y poBIIC ) lOJIKO T lUte 1AOIlllJlll H axaHllSw
B3 QDK)DeicrBM llOJ1 e bull bull ROOjlHe )to nyCKBm nOCJlelOB8TeJlhJtoe tmaHshy
lonoe pBCOMOlpeUJle I T e f8Jtf(JJT(U( M9CCWQecfGOOI WUlJlOI8MJf
llI(yTpclDle llenpOTlIlIOpcltllllWC OIQHfOBOnWleDIlX IOOlleJle~
6 Pon KDalITODIIX IlJIHHllJIIIOD
06paTllMCH Tenep R POJIll JalIIHTOBllX np(lllllIIJoD D IjJo(lloGlPODashy
IlIltgtI CODPCWloro 06Jllut8 JIII1IHTODOI TeOplIJI nltWI lanOMHIIII BOshy
nCPBla liTO yse B B8tWJe 50-x roADH 6WlO OC03ll8lfO lTD B
oTJlIfllJe OT KBaHTOBOI waXlUcaq I IAO IlJOpquPOUJW uUlsam B38HWOshy
IlelCTIllIJI Ilrumol COBOI)lIJlOCTil qs= llonycROel DDellelUle CooTshy
llO1CTDYUllelO OICJlO npoH3JlOJ111WC ~IKlIIIlI (nOTeIlQIIWlOB) B TOshy
pu KD8ITOllWC nMeil npoa300Jl B JlarjlllHDaHe B381l11OJleI~8KJ ltliKshy
capoBllllHOI CHoTew none orp8HllonmaeTClI netloJrbllllll HMOM ROII shy
CTaHT BSWDIgtJteiClBU KBaHTOBaSl T90PKSl nOJlJI He ItOrrY0Ka8T nposhy
B3BO1gtBHX IjgtyHHI1Jlt qTO JIlWieTCH OJIellCTlUIeli YOJIOBHR nepaHOjlMHshy
pyeMOCTIl
CeJQeT OIII8TIdlb lTO nepOOJ18lMltHO aTO CDOstOlBO npenshy
CTaBlIJlJlOCb CJlu6w MOOW JmQHToao1 TeOpml DWUI OBJ3poundlHHla( C
HecoBe~eHcTao Jlo CrYlfHKl TOrll8 Teope1H IeClQtx MelOItOB D ne~
lyIl oqepelllgt WlTOIl8 Teopo D03lIYIIeHKA ll]lWllt8X RC)TOpol II oposhy
BO)lU80 U800Jl4ltJt8lll11 n epeIlOplolllpy0MgtCTH B nponaonMltWIO~
alOIQ cnyor a 20 JIe-T CBOICTBO n epeHOPKIIPYOMDCH I KBJI01eHliOe
B BHIle Tpe60Mlllll IIOJlIllllllllilllll4 SllollaJDlJl ClllJlWo 0YIIICC1IIOIurym
15
JlOll1gt ) nOC1poeHl1 O7WUlBpTBOI IO)Aegtl 8lIeRrpoaJta611X B9IlKlolleRCTshy
IlHI B B cjJopMnJlOBIIKlt1I nOHlinJi noKOJIelWl qpMIIOHOB B lBOTOIIshy
~ee BpeMH npeJttr8BJtflDTCJI H8C011HotttlHll lJTO ot1llTHHe llatDtWO no
OJsO MeRrpoalllTIIHIoI B CULIIliM BWDIOAelcT1IIIDoI ryT 0111gt
orut08HLl llaquo)JlJf1lectB8H110 c noYOlllU) nopeuopmpycMllX ltB8IftOBOnoueshy
DIIX IIOAenel
CMbullbull IIDJ1Y paIllIOOI KOH07aJlT8MII BSIIIDlgtAeAorBIlII yOtampshy
IUlllJIIllQl)ICII npllIUlJmOIl JlOIIBJILIIOI 1ltaIIlI6poooltltoft CIIlIITlI ( J(](C)
I~llKe II nOJlllol pe Oilll ocjJopOJlJlPOBaR ija91lOKIII
npmllllll B 1954 r llHroll 1 IMJlOOII ROtopHe H8 ero 0080ue BB8JIB
HOBIliI MIl00 cawoAolOrnyDaIIX BeRTOpIllX peiIImDllI07ClQIX UOiIeR
H83JmaellllX Tonepb R8JI1IOPOBOlHllllB nOJllllll BJIJI nOJlllllll Ru18 - IIIIJIshy
)lea 3tlt nOJlB nollODK) OBOBX B1ryTpeHHHX ODOI~B CBSI30lDDJX c
HMIIIleluoonlgt CB060)lllllX ypmlHeHd _eHlll qllfeJlgtllH 0
TOIJO 3peHBII JIX B38K11OAeAOTIJIII C IUlYnDUI nllMllH MilllllJlanHoe
B3I11111OAelofllJle llt8JUlOPOIlOIIIoro nOllJl C UOJIJDUI ~eplDl O)lllOIUIIIIO
no cjJoJlllO bull xBpeneIll3Y0l0II o)llloll KOSOrBlI101 OBRbullbullbull B CJf1UI8
noaOeneBB nltWI Tn ae 08II8Jl KOIIOtWlttB lIXOJIII B ltaJlJlHollml
OHH CBOOO)lllOl YJl8lIIIeHBII nOllJl
K JtOJUlY O-X nlJtOB BWlCiWJOOb ~o Ppound fOUKO aJl8KTPOMarshy
1lIIlHHIl )o TaJalO OIIaOIiQ II CUlgtHliO BaJec~ OopeROshy
CJI K8J[JJOpollOIItIOII BeftOlIJAII nQJlJlloOl BCJI8)CTBHe qero II IIlJlCTB8
B38J111D)1e1OrBy-IIIIJOt Kll8lITOBUX nOJlol Ollpe)16J1J1n1tYl) poftb IUpam
BOOro 1pIl KORCTBKTII OlllllB BRe paYOR 011 CTpollROIl bullbullKOBO
Bol K8pTBHH 007801011 IlOnpoo 0 KBWlTOIlOI TOP rPBBBT81U11l
3ltecamp o1XJ8JtO ncRBlUlWCb 1it CJIlOOtDeIDlO OKP8nu as uocneJtHK8
lOJ1II BIIA_ OBn8lllOl 0 oyn~BpII81 (CtCH)
16
Kax llaoeCTHo CyCIt c_eT MegtIIl 00601 qaC~ c U8JIIIIIJI
B nOJlJ1lemD4lf CIIHK8MB (TOuee - KBaHlOlUIG nOJUl no~eQII
lt10- II gtBJNII-IIpeCftlBOIlOtIIUII COOfBOEBBlIII) UOAOOSO I0Il1 K8lI
rptnmlt lUI11peHHeI OBIIIIB~pIDl I181JlIII8P IlSM0IDII80K0ft OBIIUlUlam
ltPT C JQgtYIOM UCIiWY C OJ[KB8XOllDOl COIBS Jl 6na3lUllO M8QC8MI
O)lllBXD eye n JIBJUIOTClI BlI)lpeRHoB o aPoaA a npe)1CTIUW8T
co6oll ooo6oe p8CIlIIlpelle ClMIeTpHIl COO1BBTCTByuJlel rpynn U--
IUlpe 310 olto6J1leHBe OIIITOe 198 1lt8 7O-x ro)108 npeJ1llOJlllshy
ra paCIDpB 4-oIepeoro DjlOClpBHO 1mult0BCJltoro 10 middotcynapshy
UPOCfpBHOTB8 KOTOpoe H8Jl1lA1 c o6IlIIIIIIIII UPOOTplJllTJBIIID-Ilpeshy
MBHmDCI KOOPJDlH8T8MJI COABJlIllT JlODWlHHTB4bHHO CIIJDIOptW8 8HTIIKOIIIshy
iIlTIPYJJIDe lIeJU1 oo6oil c qpom-llOJllllll 1tOOp1lllHamplW - 1BIt Haa
06paBIDJIjIO 8neOpu IpeCCIIIIH8 ifmleltcOil paaJJBpeHBII cynepcTshy
pHIl DP~ TaI IIIl3IIll6llT ~oe ~IICJ10 IV I8l108 TO IIICJlO CI1lIll0Pshy
HIiX rpacCollBHoJlllX OdPB9)IICBX _ 0 2N bull B Jgt8IIIl cye 1I181l1OIIIIe
UOampJI rpynnJlp)lltCJI no 0PBIIcf8amplle rptnmlt C-C npeoltlpasoJl8l1BI
OOpllBYIl COltnBBTCTBJDIIlB IIJJlIIUOTII coc~bullbullbull 001 pIISJ1lRshy
IDIX CUJlBOB IUIR UeJIJU BIt bull OaJlyIl8J111l[ (aqO - cynepnWJJI)
BoeAcTBl6 8~OPO cCa YOTABAfIBA8T uPOCTHU CBRUB we~
kOHOTaM ll38JIIIO)telcTBIVl HOKOTOpol OOIlylII00Tll 60samp- H gtBpshy
lIII-oOJIoI 06pas-DIIoA cynopnOJI 1k~8110lilUtll CTPYIIT)pu D8POHOPshy
POSOII jlIUIIl CyCw lOO)1e~el 8118 B cepelllJfgt 70-1 lOJIOIl IILIIWIO jlIUl
38MOi8eJlhRIU OOcTORTelhCTB OILaaaJlOCh ITO B l8KIQ MOAIUJa
UCTO OPOIllWlOTCII TOBJellllBll K COKpeu811111l peCltOIDOCTB aw 06I18P1UHIi 1I0)1emJ lBrpBJmIAI B38IDIollelcnaJi TOpIX ltllA1U
npa)1C~8MeHII qOp8B DOJLII OOPBB1JIIIII8 cynojllOJlil IIIIpIIlIIlIITCII C1llshy
Mol OUlOHOII IUllUUltI lIS TOpIX rpe01B lI1I6HBR 080K0Henu KOIlty-
lUI8HOB QIH8xo npB nOJeWDl C1llllll BUllJlOIl lUWHOlO nopllJlKll
110 J OT HOe CllllIfUUAlXampfUp6HDBHll O)UlSwa88TWl IlOCT8TOUBIIl
HeltSoJJtoro uam KOHrPU8HOB He l18pJEWIIIIX 0YIlOPCHMMUT)lUD
17
OcuomISR wacca KQHTJU8UOBpaaeHlDlX lapes lICOOT1ULllRllllBe- cyshy
nelllYTHI1Je~ nOJlJlt ItOMDeH0Ilpy8T APYl APyra lneo~ 0Ita3WJla8TCII
DO~ lIIYDpClBllllgt II]l8BIIJIlI ~1BII8Ba HlmOOpOAO~B8RBO JlIJI
OynBpIOrid Ecn npoBeCTK 0URC8IIHW8 BlUCJ18lW1 no oynepnpanrraM
~_ ~O ltOllllleBOIIY~eCR peOXO1lllraquoDcmI Be B0811l11Q111r 1ClO6ae
loo ~~ _aT SBeOUJ IICOJlIII80K1Jgt 8IaJIOIHD 1I0000e OOSshy
IIIIJWI KOIIIUI ~ 101108 KOB8PIf4IIHOI eopllll BO~ B ItOshy
Cpol HUll bull 8B1III401lllll B BIIpTyamIIIU OOOOIIIWIX OJIJII 061ampshy
JDlHeBil B a_a upooar8OjlII mTUlt806epra - ~1JDmBa OIIoUUOOL
qO CMmen pampCI()lIIJIOCft Co60T1eHHol Bepro 3Jl8JtfpClll4 bull KaJ
nOHIBBA8CL C ~1B01 110 40rap~8cxol
lIaadoJIe M C 4gto01lleOlltol 10 Bp8Bll11 lDWDllCII up8p11
nomoA 1UlIIlJ1ilI08IDIII paogto~1 B 881t010pili CnellDlIMX IIlQJlUIIX
Pen IIJlOT 0 IlD 1oIOIl1WIX pacup8aaol (II gtI) C)Clt 00Il~shyIIIIIX oaO IltampIUI6pClBOIHIl1 n()lll B ItOIOpili BLIIIJIIiI n shy
IIluco B nep8BopllllpClBll1 1lQII0T8BIII 0l1li8amp bull TOlBOCTII kOIIIJelloPJ-
Dr _ OIIIIJIOpiIIIX DoJeI IIIlTIIJIIII Dpil STOW 0ItM 8 tCS ITO
np nDCIBAOMTOOI flBTe CyCa 118 n~ n ex Clampshy
ad T e npJI 1I0001ln10l6JDlI OJUBpiIp8BILl hlJDmBa bull l0lppaA8Ogtshy
ue p8OX~fi npClllUampOpoB bull BOpGHgtltIX ltI1HIltIUlI IlOTOpliB DPII
n OJtQIiIII0H8STJIKI BiAlCteDU OaamplIWBaIJIrml BI8WHO CHONIIBHCHPODEUUWM1t
raquo n epe80JlDPOJ1K8 ~ I ll6 BOIIlDADT 1IOa08
l8uII 06pa_ UCIIfIOBil cepJ88B110 JPI8IIU U DO_OOTlo
C1lOHOMIDIlI IIIc1o1w101O CD CUllUT8IlIIIa 1IOJteu1 IOIltIIIJshy
Hoi DBlItOBOI TeOPU DOampIl bull ~puaI npCl~CT~ cmo-
6oDIa Ot JnTp84aOTOBDl paoxo~l
lJoIOORIlte ~ IoIOrrr JDlIlUCII TeopeT1A801lO1 00801101 T6amp01O
-ug- OOteunVWB ~IM Quel - OJD8~elDUl
up IlOTOpCM B o6IaOfi OOll1OlBO 00amp1[[ lIJIoprd 0GEWltB0IJII8JI
derJIIILIIa sIIIIUDIIU IIOBOTRBTa 0111811 1i n epaollu 6uau 18
T e MeRRT hCg c A8AhUe~ POCTOM 3HeprHH H ORa3WDaBTCH paeshy
HOi3 HeMoOpoA KOHcrrurre d I K01oprut ClOOtlet(ttByel umshy
cNUIte Ctlll9l OrosmteA B AarpaHIJUme B UpaltT1J1l0CKHX RH3JltoaRe~
lO-TJIt[e cJQtX mABOJIOJOUlX J llB4BHMe poundmCCH DOJlHolO 06~eJtK]teHlUl
lllltOIyoae1 B lCjljleKTHBHOro HMDyJILCB 06peaIHI C OqlUl 3pcshy
mt1J TSQOC BllnICJIellHR 13KJ1QD JOtsrpawc co cacpxTJmelllaQl BlPlYMb-
1lJ1MH qOCTHUStm IwpmeHCHpYlJmMH paCXODlIMOCFU JIelfCHX JDJorpor_
MOSHO paCCMaTPlIBaTL IWR cDOco6pa3UYU luntepuarri3~lJrJl mrXOB
fiaYJIH - BKuapoa 11 bull
YAh1JXMIH0JI9TOBWB paCXOlDlJrNgtCTiJ lUjClYIl81JT UP 8lorrd trotlt
napOJRTHUO 34cento It1U I c ootseTCTDyxqae HU 41nute ltMfI a KCKYCCTshy
BemtO D03JWKlmte BCJI9Qc rBB9 aecoBepmeRCTBa TpamlUROHHOro MSTOshy
Ila BCOJOAOllnllllJl pIIsIleJUlDl(ero eJlllwij oynepollMWltpoDlJtli JlarpeHshy
Daamiddot aa HeCHMUeTPlfIlllLB clJsraeMJie KOTOpLl9 He nep80M 3Tane u-cshy
eJlOIlllllHll paCCPHllnIIICR OTIlOJlJolIO AP11 OT JlP11A
YnoltodJUl MlIp aaeMelitBptll(X B3WMOlteilCTmrst LUlCTlUt lS 3JD1UJOU
Base C Wl8BlllOOl ~poltruIH lUIII O 8TYO 6onzmu p8POD II lIIw-Ka- CM9tOBaTWUI - rmrMeD KOrOpWl OfKWlHB8eT 0 1 BB3l KyCOlBK
H YHocn B Jla60JlllTOJllW lIIJl aHaJlBQ lnpe HOKOopoe llpeMfl OR
maal Doe od OroH1OM IIIYOKe R flHielO 0 cOOYJe 11 LtBJ[OM npl(
arrOM 01tJU1Iro KPOMO TpartJflUWlona Jlt160plTOpiUlX CpcoOTll It 060shy
PYAOBBHHR MY nOTpeOOBaAHOb TaKEe Bon sara B 6HHH lIIJl Jleqeshy
HRJI nope30B JUi py lQU 01 OCfPUX KpnCD OCKOJIKQB na3u PacxOMshy
MOCTH I KOUrpueHli peryJUlPH38llID1- B03111lU10 TaJCKe K8 uymw
Jt1Ul noHlIlampUDlll KaprHHW B3antOACIClDHII n llCJlOM t KaK He ftYnu MOshy
DK1lt8MBH1U DJlH BOOJleltoB8JUll1 ueJIolt B83b1
fioCJIBl(OllDlOJlblU1R ytt01 TpaX KDturrOHllX CHfIo1ft-TjllI1l COQfBOIshy
C1BYIllUdl IllC XPOHOJIOIVIeCkOlo) nOJlllJlKY HCnQJh30BllBIDl lIlt)JteT OllTh
npenC1~eH B BIlJlO IlODOJlbllO crpollHoro PfIIln
19
1 IIepexoA OJ lltBIIHoBOI IIOXaKJtICJl R DepeRO~pyelOJR _shy
TOBOR TeOpm DOJIJI ( yln npllJUWUl 1Dl) njllIBQJl K tOtq 110 BBllSH
lIYHlWBORM1gtlI01O npo9BO110 X8pa~DJlIYlO noeJl1DtWIIJlol ijJyrutshy
JSol t WY nanylpoundllm JIJIm 1l000P OpB3BOJ1bHHX DOClOJUIllla - ltOHCfSHr
CM3R
2 yqe D]lIIlUUI8 IKC 0 meJIellBo Ilt8lIlWPOIlOIIUO OMO
D]IIIDOJlIIT P yctBHollJlellllJl eMol ( B npoCTellma CIIJlwtl paBONeB)
~ ROHCTaDT 838JOOJAelcTBItII ASHHOlO 1WllI6pollOIIUl1O nltlJlJi
deg n pD
J Ieno_o nplIHlUIIIB eyea BBOJIa 8IIome OnplUl8JI8ll1Di
1l860pu ooeTOlIIIIe gaR lI3 60 aK 3 4eplOl-DOJlel (eynepshy
tqJUTlWlelll) SIIIDIDAea01BllJI lltOOplll[ ODBeWlSllCJI ollllllODellKol
IltOHOURO eM bullbull bull
liaKoaOD OpeACT8IWIOlCJI BeeWOi eMlJAlWOl neponelmlllS
eI1O aTona
4 liaJIOlIlHle pe60B8IIIB eBDplIllepoHoplOlP1elOJ01II ( nPKHIUIll
CIDl DOHIIIIIIOa 10 YeJlOBBO oayTeTllllll YJIgtTJl84DI~OT08HX paoshy
lroJ1)llllce B 1I01I8lIJD( oollo)ll8UX paClrOAJDS)01II no 4oJlMlJlHIN
n~3HaKaM C~eTQ cTonoHol D~e H ax npoKaBO~ D ~Qrp8HKRQ-
He) DJlI 3aA111HO 9118qemm emma Yl8CtBYUIIIIX lSOTBl1 4aultCllpye
CYDepc_pIIIllYD 1OO1leu nMIlI8I OTO erwl p8BItII)I JtIIY)I DMYshy
SO lIane AOOTII OJtlIOIlH8lHOlO ollJlC8llllS po B31l111OJAelCTBlll 1tB8lIshy
bull 0BlIX 000 B o611B011l )lOCT8tOIII0 BWoo Keprlll
Tew C8IIIDI B09111Oamp8O ns HllIIIIX rJJ83U H8qm8H OcyJleCTlllUftshy
C8 M81fT9 alHll1elJta naee laquolew n0JIYB8KOBOI JUlBHOCft bull bullbull bull MY
XOTD He TOJIlgtIltO HOn 18K y01poell8 OpllPOAB ( II npcllCXOJlllt
trpIlpoJDtHB JmeHU) r 80 bull 00 803MIlampHOOH llOOTW1b ~ llaquo)Se1 6Y1ltl
YlODBlecbullbull ApaROI 18 II1I)I - YBHBU noqetq Il)aPOAB lIIWI8CJI
ftMOHRO lalltOl a He lJJYtol2I bull
20
KaJt YSI OTMIlQaOClgt IICO qeH njllUDlKIlll - 1IlI IIKC eye cmr - no coool DptfponG RBImrOa HltaHMmuat TaR KBY JllR HX
ltIxgt ptqUPOBKl HOo6xo_ lltoro KIJ8HIOBIlt nOHllTlIR
DOIDmIe ltfJa3H 8OJOIoooI ltfJYHKUIII R He33BHellMOeTH OT Hee H86shy
AI11taOMWC BeAMRIi
nOHJIIRO 0 paSJIiltOlllX KB8ltlOBUX ClOTilcmuwx B 0 (1030- H
~JlIIll-l1l4IlX
OOlurroe deg nponcxotlllellltll bull CTPYKTYpc YJJJgtpaqmMOlOBWlt pocshy
XOJDlllaquo)CTeA B IQlaJITOIlOA TCOpllll UOIUI bull 0 II]lIlllllAYpe nepellopltl1polgtshy
til bull
Kwt Mll y6~ltWDCL nOCJI9JlOMlCJI1dIOe lUl[J0JI30BQUlle 3TUI
KBaliTOBW DpIIJillHUOB BBObullbullbull MOOIIYll Jtere_CTHcelYll O1pyn B
up KBWl1OBUX SlMeHB KOlOpwt II OCHOBe cnoel nO)tlHUen CTBTJlCTHshy
qeOKlDt 38SOHOlampePUOCTfDII
JlnepaTYpa
1 IilJlPKOlI I(l SW 1983 H 1063-1072
2 JljpaJ [[AM UpJllUDlJlW ItBlUrroBOI MBXIUlHIOI Iayxa II bullbull I~9
c 4(13 1Jy1I tdl3JIItJI JueprooT0I0III9JIIT M 19I13 0 4G
J tSooft G Phyenalao R~port s 1Q84 1]1 1~_I)~
4 Nnmbu y Ph61 cft Ne~ort8 1994 l2 2)7- 8
5 Gultat50n T Arkl v ( Watb 4strJys 1)46 )A 2 t
Spbullbull B R JllalhlIl7obullbull1968 l bull 1404
6 tJtloort Q VeltallUl)l Nuol Fhyens t 1972 i1 J131
7 CoOoJlo C n ila7c c60plllUt 1936 T ~ c 39
6 Sailwllrll L Tb1 rr Itl8 ltt1Itrlbutlo41IAlnDd Poria 1950
9 SoIWlllOOD lUI nape OC 1957 Ao a _h lZ 227
21
10 Bor0JID60B HB R IIJIpKOB nB BBeJ(eHHe Jl TeoPIJll KBIIJlTOBaHBHX
nonea U3Q3-sBayxa M IIrn6 ~ 113ll4-et Hayxa N 1$4
sectsect 2930 11 Coleman So Weinberg I Phybullbull Royo D 1973 ~ 1888-191 0
12 fiIlp Il Il H Jij) lB 1982 T 35 c 1221
13 Bop U Pbybullbull Rbullbullbull 1935 ~ p 696-702 DopeBOll COl ihlJoo Bop 1l00)lOJlHlie Tp)tll T2 HayRa M bull bull 197I oIB(-I91 Bop U lIa6paH1Dle Tp)tll ~ 2 11ayKa 101 19710526-532
14 Shirkov D V In onlineAl and Turbul ent ProaOS888 in Pb1 shySampgd R Z HampMrood AcadPubl II Y81 cmiddot vol bull bull eI bull
1964 p 16)71 IlAII CCCP 1982 263 c 64-67
15 Bor0JID6oB HR bull mwpKOJl nB bull IlAH OCCP 1955 ~ 103 o al3-al6
16 Biuok~bra EC Peterann A HelyPhTbullbull Aot 1953 y~ p 49~520
17 Gell-aampDn a Lo_ 7 PbJbullbull lev 1954 v~ p 1)00-1)
lS W1180n X aev MOdb7ao 19BJ 22 p 58)-599
19 r OJlloltlgtUUt IlA Ilnu Bn n0l0IIIIl B J)iqI 19I 13 452
20 Parkbullbull A and wbullbull t P bya Let t 1984 v ~ p 99-104
21 31bmTeIJ 1 0 cOIIIUeHHOM OOCTOIIBIIl ~eoP nam - COOp HBrUI TPJIlOB T~ HayJca Yo 1966 c245
PyxOUlC OOCl)1IIWI B H bull lM9JIlocKHll OTlleJI
9 OKI86p~ 1985 rollB
22
bull
W~DK08 aB P2-85-729 KBaHTOB~e np~H~~n~ 80 B3a~MOaeHCT8~~X none~
B80A~TC~ nOH~THe KsaHT080iO np~HUHna KaK npHH~Hna npH OOpM ynHpO BKe KOshy
Topo r o c~ecT8eHHO Hc nOnb3y~Tc~ KBaHTOB~e npeACTaaneHHA H cneUH~H~eCKHe KBaHTOB~e nO~THR Pacc~aTPH8aeTCA ponb Tpex TaKHX n pHHUHnOB
npHHUHna nepeHopHHpyeHocT H HH a4e - KsaHTyeMOC t H - npHHUHna noKanbHoM KanH6poe04HOH cHHHeTpHH - nplo HlI lo1 nA cynepcH_eTp IoH1
B pa3SK TH H K8aHTOBOH TeopHH no~ B CBA3K C nepeWM 1013 3THX npHHUHnoe aHan]H py~ l CR eop-nbHaR CTopoMa CH 3H4eCKOC COAep~HHe npo ue AYPW ncpcHopHHpo eOK 8 KTn ee C8A3 b ~ HanH~HpoundM ynbTpacentHonCTOBWX p aC XOAHHOCTeM H pe HOPMr pynnoH n p HH UH n nepeHOOHHpyeMOcTH OOPMynHPyeMWM KaK rpe60aHHe c~eCTBoeaHHA BHyT shypeHH e HenpoTH Bope wHaOM Ka~TOBO~ epc~~ A~HHO~ ~~eJ~ B3aHHoAe~cTHM non~
oKa3BaeTC~ 3KBHBaneM THhUoI YCI108HO KII3 HTyCHOC TW nH K IIHrOBOC T~I nCUC83aHO ~TO noc~AOaTenbMoe B HCTo~~eCKOH nnaMe kcnonb 308aH~e Tpex KBaHToswx np~I ILllolnOA Dce 60nee orpilM~4H9aeT B03 MOlliHbH AHlfUMo14 eC tue Mex3HH3MbI 83aHMO shyAe~cT8H~ KBaHTOB~X noneK
P~60Ta awnonHeHa B fla60paToDHH Teope TH4e~KOM ~H3HKH OHRH
(JpenpttMT OI5be[lMHVDloro ICC1MTYTa JIIAepx MCcaeao A ilYe 198)
bullnepeaoA a lTopa
Shi rkoy DV P2 -85-729 Quan t um Pri nciples in Field In t e r actions
The concep t of quant um pri nc iple is introduced as a pri nc iple the forshymu lat ion of which is ba sed o n specific qun lu~ Ideas and notions ~e consi shyder t hrae of such princip l ~s
- the princ ip le o f quant izab i lity - t he principl e of local gauge s~etry
- the princ ip le of supersymrnrlry and their role in devel o ptlen t of the quantuo fie l d theory (QFT) Concern ilW the Fi r st o f them we ana lyze forma l aspect s and phy~lca l contents of the rcshyno~ll z4t ion procedure in QFT its relation to ultraviolet dlYergences dnd the renona-grou p The renonmallzabl li ty property formul ated as an eX i stenCe coRd i l ion of self-consistent quantum ve rsi on Wllh a ]iveh mechanl5lll of the f ield interactIon turns OIt to be equivalent to quantizab i lityl t i s ~ howo t holt the consecutlye from a hls torl c~d porflt of v i ew uie of these qtJantuln prlncip l e~ pull ~ tl l l IQrger II~ i t~t i on5 on pOs~ibla fonms of field lnt~shyract lon~
Tht illvnSlif)alion tws ~en performed a t the Labor4llory o f Theoreti cal Phy 5Ir~ JIHA
Prlrdnl or 1-1141 J oi nt Inetitute fo r trucler b rch flubna 1985
(0)
oil -- - -_ -rI _L
1)1 _ _ ~ _ __
_ ~ 1
Y Q
PHe I Ka~eeTBeHHaff BaBleBMOCTb ~K~Oro aa~
OT IIIIII1J1]C8 Q B K3JI 1000Bll8 Clt (r l ~ r ~epI8~ SHOOp o~oa 3 D090QIBHX KpEBHX
(Q )
012 ~ - - -shy -shy
)J1QJlI
lIIe 2 b CIWI XplUl8Jl 0 (Q) -0 dim pxcpo_ 001 IUj)OI ( C( r ) T8Jt 1TOO1i a(N lt1
IloIlllODOCU nepoXQM OT OJDIol napoKBIJlI188ll1111
( 0 I 1 ) It JUlyrol ( 1 ) 06Jl1181~ lol1lleClt1 OCH081 POBOJlllllU8IIllIIDllHOI rpynnw
u
lillY Oeapo3MepWX a pl)jleIiToB Qfl bull 0 T e 381ll1shy
CSTgt B lIIlIe j (~i o(~ ) ilpil TaKO BlJle 381ll1eB CJo1UeT gtleTt
B BIJI3 0 napa ( ( 01 raquo COOTeeTCT Jm60a 01llte
rae a6paRHol KpaDOl PaO~~TpBM Terrep_ onepoUBD nepoxoAa OT
oJljoA rrBPW U8UpllMep (tlt 01 ) K lIPyroD ( i~ oiL )
JI_al Ha Toll a OSMOl KpmlOl - eM pHe 2 lICHO TO ~lIj1II
OllCliB8DItI1I JltpwHYII _aT Olin epa y enexoM n apallOTpil3088IUI
It8K OlCliOl lIB BlIX Tal H JlPYIOst HIwMB CJIOBaMll JJOJlampfIO HweT h
Me CTO paBe HCTBO C( qJ- ~I )(lQlti~ i a ) rlle Ol8mutHO
= ( (I (~ ~ ) bull KoMII1HIPYJI nWllellHIle COOTHOnlellJUl npilshy
XOADI K UTBOIIY ~01l8llbll01O) ypoBllOl1Dl IIJH ~KMOIltOro
aajlQB
[(X olt) = (yen~Z(traquo)
3To ypaBHeoe t M it II ere 06061ll8HBS1 un 60Jtee CJlOKlwe OJIYqae
~SKHT B CCHOB8HKB M8~K8~ecKOro annapB~8 MeTOna ponopuaAasashy
QlOllHol rpyIIIIi npoACTBBIJIJI coOol ~PlYJBPOBl) eDOleTBa lt1YlUltshy
QlOHallOA SBTQMOJlMbHOeH 11lt1 BoIee nonyJUlpBoe ABifgtilepeHQl8Jl1rshy
aoe ypaBHSlU1e DQQWlT 9 HelO npo AII~poHUllpoBlIIIlIe
OrIIe~ lTD DplllO)l8HB8JI gtAeo) noq peCCYIIlIellllft l BUshy
BOA ypBBHaHBJI OWlll anep8llIlBIIH B padOTo Eo1OD16osa bull IIIIpRXgt-
Ba 1I5 uellto BOCXOlUlllO K 1III0HepOllOi po6OTe llTIIlteJlb(lepshy
18 B DepIoIlII8 IIG C AP11OI C~POHII qeeHHaff 1lt8pBHB
JI B OOHOBa BSlIOCHOI po60U Ieu-Mamllhloy 117 DpolOAJIshy
~ K 8lQDtMJleKTIIlOl YpaBBeRllBM beer BeObMi8 ourmoe pSJIlIecltOe
COlleJampWt1IIe KaJc 810 oc06elDlo SlCKO liB 06cyqeHIUI IlPBBeAeHHoro
B IIe B OCHOse MOl JalPfIlHH OUT npe)leTIIIIIOKlle 0 Ha60po
HWl01lBJ1LHJa nJlll6JJBaeBd K JlO bHO IltSaIlTOBOI WleltlpoJXIHIUIIlJttl
llt8ampl1oe bullbull JltOropux 1oI1X8T Owu xaPOJlII90ll8ll0 )lIUIJIYOOII po
13
bull
elttpo R B OKTJlKOCIQDI S8Pf1110 e TIlJOIO pBM3lBl1lOIO
OKlPOHa Upc06pl30B8lllle DtmIlII8lIeHTHOe peHO)lIapyunOBOlIY_shy
HO npellCTaBHTL c060 JltlK nopcXOll OT OJIHOI HMOK8ll1gtllO annpoKshy
ClUi8DHl1 K JUlyro8 TaIaDI 06pa90 D OTJlFIIe OT DJlllrllll3l0IW1Il10ro
DOCTpoelllll pcHO]raquoltlpynna Iou-IlruUUl bull oymiddot eCT lpymta Upc06shy
paO 8IltYTp IIlIOaeCTD8 HeJOJlt8JgtBHX MOJleJlO K31I lUellllo OHa
BeCbMB po(CTBCHHa panopcrpynne BKAbooHa s CrBTlCrlflleoKol
qm31lJ(e rAe COCT8lIJlilJIIIlle nMPPYrmy npe06pa3oBpoundllllllr COOTom D
K8JUlHOBClltOM KpyIIHBKill aJIeWDBIfapHWX IDlltpooJtOI1lIIIeoJOlX 6JloJtOamp
aanpawep dnoKOB OllHHOBUX peweToR
5 rtpHH1lM1J R1UHtyewocTH
Bo3DpaIllastC R np(llJlKlD1aJ1nol CaPOHO onepa1Ulll nepcllojIIGIshy
POBKII KOTOpan 06 C)IJI1laJIBCh llliIIIe 1l KOlIUIgt pa31leJl8 3 3811eHll
1TO B CBeTa npoelleKHHX TaM npmtopoB Calm oD0101BO noponoptJlshy
~CMDC~H MOampe~ 6HTb paccMOTpeao C Honoa TOqxH 3POKaR
06_ JlOIBRY pacO)lJl1lCIDtII M CTa DO JUlDy y r Jlo lllallshy
TOBYI 31lJ18IY BSlIlIIOOllelCTBlIJI OM DlUDIlI ITO aeuePaHOpoOpyeshy
MOCTL 3KBHBanC~Ba HBB03MOODOOTH nOCTpoeRKK ~oBOnonoBOI
IOOJleJI1I C JtWIIIHlI LUlXIlIIJISIok) B381Do1OIlelcIBIlJI noJIel Up llsrJlJUle
o l8JltOI no31lUlU omuLBBDTCSI paBHonpanRHM gtttenll qeTYpex4Jepaashy
OHllOlO B38H1OOIleAcBKR ~pMH H neeDllOBORTopHOro B38BMOJleICTBIR
DlUUill I Do aae IC)a6Ih ttC8BAOCJQI4SlPHOro DlUiBOXOlO lJ381D1OIlelcfshy
BlUI ( a OllHoR JIOHOIBHlOI OWlllII T o He conpoDOQaellWl npJDIHII
DII0H-IIIOllllHlol B381Do1OJlelcTBHe ) a llt8JIlI6poBOUIWI Iok)IlWDo onposhy
CJl811oro D8lDClllOaOTBIR JIOIIIOHOB ( a UeOKOMneHCftpollllHHHllll Wloshy
1IIlDJDoIII) Bee u 1ok)1I8J1lO 08 Iok)ryT 611Th ~O a RORIlX-060
nOCJIeJtOBaTenhltHX IG8JlTOJUlX 180131 IlOIJl K8K COOfBeCBYD1Ol8 dacshy
e90om (VIllI OJIYlWlOCHIOCIQe) uptlJlMll
14
Teueph MOIRO laTh npoOTYI ~PlIYJIlO POBKY nplllUUlt1Ill KMJIshy
-ryOYlCTR 3aMCHHDIlero CBOlcTBO nepeHopcapyeYlClH
- D oopu pcJUUIIllJICTCKlIX nMea CJle)lyeT paCCMSpD8TL
()(aampe no M aCCqOCKO y poBIIC ) lOJIKO T lUte 1AOIlllJlll H axaHllSw
B3 QDK)DeicrBM llOJ1 e bull bull ROOjlHe )to nyCKBm nOCJlelOB8TeJlhJtoe tmaHshy
lonoe pBCOMOlpeUJle I T e f8Jtf(JJT(U( M9CCWQecfGOOI WUlJlOI8MJf
llI(yTpclDle llenpOTlIlIOpcltllllWC OIQHfOBOnWleDIlX IOOlleJle~
6 Pon KDalITODIIX IlJIHHllJIIIOD
06paTllMCH Tenep R POJIll JalIIHTOBllX np(lllllIIJoD D IjJo(lloGlPODashy
IlIltgtI CODPCWloro 06Jllut8 JIII1IHTODOI TeOplIJI nltWI lanOMHIIII BOshy
nCPBla liTO yse B B8tWJe 50-x roADH 6WlO OC03ll8lfO lTD B
oTJlIfllJe OT KBaHTOBOI waXlUcaq I IAO IlJOpquPOUJW uUlsam B38HWOshy
IlelCTIllIJI Ilrumol COBOI)lIJlOCTil qs= llonycROel DDellelUle CooTshy
llO1CTDYUllelO OICJlO npoH3JlOJ111WC ~IKlIIIlI (nOTeIlQIIWlOB) B TOshy
pu KD8ITOllWC nMeil npoa300Jl B JlarjlllHDaHe B381l11OJleI~8KJ ltliKshy
capoBllllHOI CHoTew none orp8HllonmaeTClI netloJrbllllll HMOM ROII shy
CTaHT BSWDIgtJteiClBU KBaHTOBaSl T90PKSl nOJlJI He ItOrrY0Ka8T nposhy
B3BO1gtBHX IjgtyHHI1Jlt qTO JIlWieTCH OJIellCTlUIeli YOJIOBHR nepaHOjlMHshy
pyeMOCTIl
CeJQeT OIII8TIdlb lTO nepOOJ18lMltHO aTO CDOstOlBO npenshy
CTaBlIJlJlOCb CJlu6w MOOW JmQHToao1 TeOpml DWUI OBJ3poundlHHla( C
HecoBe~eHcTao Jlo CrYlfHKl TOrll8 Teope1H IeClQtx MelOItOB D ne~
lyIl oqepelllgt WlTOIl8 Teopo D03lIYIIeHKA ll]lWllt8X RC)TOpol II oposhy
BO)lU80 U800Jl4ltJt8lll11 n epeIlOplolllpy0MgtCTH B nponaonMltWIO~
alOIQ cnyor a 20 JIe-T CBOICTBO n epeHOPKIIPYOMDCH I KBJI01eHliOe
B BHIle Tpe60Mlllll IIOJlIllllllllilllll4 SllollaJDlJl ClllJlWo 0YIIICC1IIOIurym
15
JlOll1gt ) nOC1poeHl1 O7WUlBpTBOI IO)Aegtl 8lIeRrpoaJta611X B9IlKlolleRCTshy
IlHI B B cjJopMnJlOBIIKlt1I nOHlinJi noKOJIelWl qpMIIOHOB B lBOTOIIshy
~ee BpeMH npeJttr8BJtflDTCJI H8C011HotttlHll lJTO ot1llTHHe llatDtWO no
OJsO MeRrpoalllTIIHIoI B CULIIliM BWDIOAelcT1IIIDoI ryT 0111gt
orut08HLl llaquo)JlJf1lectB8H110 c noYOlllU) nopeuopmpycMllX ltB8IftOBOnoueshy
DIIX IIOAenel
CMbullbull IIDJ1Y paIllIOOI KOH07aJlT8MII BSIIIDlgtAeAorBIlII yOtampshy
IUlllJIIllQl)ICII npllIUlJmOIl JlOIIBJILIIOI 1ltaIIlI6poooltltoft CIIlIITlI ( J(](C)
I~llKe II nOJlllol pe Oilll ocjJopOJlJlPOBaR ija91lOKIII
npmllllll B 1954 r llHroll 1 IMJlOOII ROtopHe H8 ero 0080ue BB8JIB
HOBIliI MIl00 cawoAolOrnyDaIIX BeRTOpIllX peiIImDllI07ClQIX UOiIeR
H83JmaellllX Tonepb R8JI1IOPOBOlHllllB nOJllllll BJIJI nOJlllllll Ru18 - IIIIJIshy
)lea 3tlt nOJlB nollODK) OBOBX B1ryTpeHHHX ODOI~B CBSI30lDDJX c
HMIIIleluoonlgt CB060)lllllX ypmlHeHd _eHlll qllfeJlgtllH 0
TOIJO 3peHBII JIX B38K11OAeAOTIJIII C IUlYnDUI nllMllH MilllllJlanHoe
B3I11111OAelofllJle llt8JUlOPOIlOIIIoro nOllJl C UOJIJDUI ~eplDl O)lllOIUIIIIO
no cjJoJlllO bull xBpeneIll3Y0l0II o)llloll KOSOrBlI101 OBRbullbullbull B CJf1UI8
noaOeneBB nltWI Tn ae 08II8Jl KOIIOtWlttB lIXOJIII B ltaJlJlHollml
OHH CBOOO)lllOl YJl8lIIIeHBII nOllJl
K JtOJUlY O-X nlJtOB BWlCiWJOOb ~o Ppound fOUKO aJl8KTPOMarshy
1lIIlHHIl )o TaJalO OIIaOIiQ II CUlgtHliO BaJec~ OopeROshy
CJI K8J[JJOpollOIItIOII BeftOlIJAII nQJlJlloOl BCJI8)CTBHe qero II IIlJlCTB8
B38J111D)1e1OrBy-IIIIJOt Kll8lITOBUX nOJlol Ollpe)16J1J1n1tYl) poftb IUpam
BOOro 1pIl KORCTBKTII OlllllB BRe paYOR 011 CTpollROIl bullbullKOBO
Bol K8pTBHH 007801011 IlOnpoo 0 KBWlTOIlOI TOP rPBBBT81U11l
3ltecamp o1XJ8JtO ncRBlUlWCb 1it CJIlOOtDeIDlO OKP8nu as uocneJtHK8
lOJ1II BIIA_ OBn8lllOl 0 oyn~BpII81 (CtCH)
16
Kax llaoeCTHo CyCIt c_eT MegtIIl 00601 qaC~ c U8JIIIIIJI
B nOJlJ1lemD4lf CIIHK8MB (TOuee - KBaHlOlUIG nOJUl no~eQII
lt10- II gtBJNII-IIpeCftlBOIlOtIIUII COOfBOEBBlIII) UOAOOSO I0Il1 K8lI
rptnmlt lUI11peHHeI OBIIIIB~pIDl I181JlIII8P IlSM0IDII80K0ft OBIIUlUlam
ltPT C JQgtYIOM UCIiWY C OJ[KB8XOllDOl COIBS Jl 6na3lUllO M8QC8MI
O)lllBXD eye n JIBJUIOTClI BlI)lpeRHoB o aPoaA a npe)1CTIUW8T
co6oll ooo6oe p8CIlIIlpelle ClMIeTpHIl COO1BBTCTByuJlel rpynn U--
IUlpe 310 olto6J1leHBe OIIITOe 198 1lt8 7O-x ro)108 npeJ1llOJlllshy
ra paCIDpB 4-oIepeoro DjlOClpBHO 1mult0BCJltoro 10 middotcynapshy
UPOCfpBHOTB8 KOTOpoe H8Jl1lA1 c o6IlIIIIIIIII UPOOTplJllTJBIIID-Ilpeshy
MBHmDCI KOOPJDlH8T8MJI COABJlIllT JlODWlHHTB4bHHO CIIJDIOptW8 8HTIIKOIIIshy
iIlTIPYJJIDe lIeJU1 oo6oil c qpom-llOJllllll 1tOOp1lllHamplW - 1BIt Haa
06paBIDJIjIO 8neOpu IpeCCIIIIH8 ifmleltcOil paaJJBpeHBII cynepcTshy
pHIl DP~ TaI IIIl3IIll6llT ~oe ~IICJ10 IV I8l108 TO IIICJlO CI1lIll0Pshy
HIiX rpacCollBHoJlllX OdPB9)IICBX _ 0 2N bull B Jgt8IIIl cye 1I181l1OIIIIe
UOampJI rpynnJlp)lltCJI no 0PBIIcf8amplle rptnmlt C-C npeoltlpasoJl8l1BI
OOpllBYIl COltnBBTCTBJDIIlB IIJJlIIUOTII coc~bullbullbull 001 pIISJ1lRshy
IDIX CUJlBOB IUIR UeJIJU BIt bull OaJlyIl8J111l[ (aqO - cynepnWJJI)
BoeAcTBl6 8~OPO cCa YOTABAfIBA8T uPOCTHU CBRUB we~
kOHOTaM ll38JIIIO)telcTBIVl HOKOTOpol OOIlylII00Tll 60samp- H gtBpshy
lIII-oOJIoI 06pas-DIIoA cynopnOJI 1k~8110lilUtll CTPYIIT)pu D8POHOPshy
POSOII jlIUIIl CyCw lOO)1e~el 8118 B cepelllJfgt 70-1 lOJIOIl IILIIWIO jlIUl
38MOi8eJlhRIU OOcTORTelhCTB OILaaaJlOCh ITO B l8KIQ MOAIUJa
UCTO OPOIllWlOTCII TOBJellllBll K COKpeu811111l peCltOIDOCTB aw 06I18P1UHIi 1I0)1emJ lBrpBJmIAI B38IDIollelcnaJi TOpIX ltllA1U
npa)1C~8MeHII qOp8B DOJLII OOPBB1JIIIII8 cynojllOJlil IIIIpIIlIIlIITCII C1llshy
Mol OUlOHOII IUllUUltI lIS TOpIX rpe01B lI1I6HBR 080K0Henu KOIlty-
lUI8HOB QIH8xo npB nOJeWDl C1llllll BUllJlOIl lUWHOlO nopllJlKll
110 J OT HOe CllllIfUUAlXampfUp6HDBHll O)UlSwa88TWl IlOCT8TOUBIIl
HeltSoJJtoro uam KOHrPU8HOB He l18pJEWIIIIX 0YIlOPCHMMUT)lUD
17
OcuomISR wacca KQHTJU8UOBpaaeHlDlX lapes lICOOT1ULllRllllBe- cyshy
nelllYTHI1Je~ nOJlJlt ItOMDeH0Ilpy8T APYl APyra lneo~ 0Ita3WJla8TCII
DO~ lIIYDpClBllllgt II]l8BIIJIlI ~1BII8Ba HlmOOpOAO~B8RBO JlIJI
OynBpIOrid Ecn npoBeCTK 0URC8IIHW8 BlUCJ18lW1 no oynepnpanrraM
~_ ~O ltOllllleBOIIY~eCR peOXO1lllraquoDcmI Be B0811l11Q111r 1ClO6ae
loo ~~ _aT SBeOUJ IICOJlIII80K1Jgt 8IaJIOIHD 1I0000e OOSshy
IIIIJWI KOIIIUI ~ 101108 KOB8PIf4IIHOI eopllll BO~ B ItOshy
Cpol HUll bull 8B1III401lllll B BIIpTyamIIIU OOOOIIIWIX OJIJII 061ampshy
JDlHeBil B a_a upooar8OjlII mTUlt806epra - ~1JDmBa OIIoUUOOL
qO CMmen pampCI()lIIJIOCft Co60T1eHHol Bepro 3Jl8JtfpClll4 bull KaJ
nOHIBBA8CL C ~1B01 110 40rap~8cxol
lIaadoJIe M C 4gto01lleOlltol 10 Bp8Bll11 lDWDllCII up8p11
nomoA 1UlIIlJ1ilI08IDIII paogto~1 B 881t010pili CnellDlIMX IIlQJlUIIX
Pen IIJlOT 0 IlD 1oIOIl1WIX pacup8aaol (II gtI) C)Clt 00Il~shyIIIIIX oaO IltampIUI6pClBOIHIl1 n()lll B ItOIOpili BLIIIJIIiI n shy
IIluco B nep8BopllllpClBll1 1lQII0T8BIII 0l1li8amp bull TOlBOCTII kOIIIJelloPJ-
Dr _ OIIIIJIOpiIIIX DoJeI IIIlTIIJIIII Dpil STOW 0ItM 8 tCS ITO
np nDCIBAOMTOOI flBTe CyCa 118 n~ n ex Clampshy
ad T e npJI 1I0001ln10l6JDlI OJUBpiIp8BILl hlJDmBa bull l0lppaA8Ogtshy
ue p8OX~fi npClllUampOpoB bull BOpGHgtltIX ltI1HIltIUlI IlOTOpliB DPII
n OJtQIiIII0H8STJIKI BiAlCteDU OaamplIWBaIJIrml BI8WHO CHONIIBHCHPODEUUWM1t
raquo n epe80JlDPOJ1K8 ~ I ll6 BOIIlDADT 1IOa08
l8uII 06pa_ UCIIfIOBil cepJ88B110 JPI8IIU U DO_OOTlo
C1lOHOMIDIlI IIIc1o1w101O CD CUllUT8IlIIIa 1IOJteu1 IOIltIIIJshy
Hoi DBlItOBOI TeOPU DOampIl bull ~puaI npCl~CT~ cmo-
6oDIa Ot JnTp84aOTOBDl paoxo~l
lJoIOORIlte ~ IoIOrrr JDlIlUCII TeopeT1A801lO1 00801101 T6amp01O
-ug- OOteunVWB ~IM Quel - OJD8~elDUl
up IlOTOpCM B o6IaOfi OOll1OlBO 00amp1[[ lIJIoprd 0GEWltB0IJII8JI
derJIIILIIa sIIIIUDIIU IIOBOTRBTa 0111811 1i n epaollu 6uau 18
T e MeRRT hCg c A8AhUe~ POCTOM 3HeprHH H ORa3WDaBTCH paeshy
HOi3 HeMoOpoA KOHcrrurre d I K01oprut ClOOtlet(ttByel umshy
cNUIte Ctlll9l OrosmteA B AarpaHIJUme B UpaltT1J1l0CKHX RH3JltoaRe~
lO-TJIt[e cJQtX mABOJIOJOUlX J llB4BHMe poundmCCH DOJlHolO 06~eJtK]teHlUl
lllltOIyoae1 B lCjljleKTHBHOro HMDyJILCB 06peaIHI C OqlUl 3pcshy
mt1J TSQOC BllnICJIellHR 13KJ1QD JOtsrpawc co cacpxTJmelllaQl BlPlYMb-
1lJ1MH qOCTHUStm IwpmeHCHpYlJmMH paCXODlIMOCFU JIelfCHX JDJorpor_
MOSHO paCCMaTPlIBaTL IWR cDOco6pa3UYU luntepuarri3~lJrJl mrXOB
fiaYJIH - BKuapoa 11 bull
YAh1JXMIH0JI9TOBWB paCXOlDlJrNgtCTiJ lUjClYIl81JT UP 8lorrd trotlt
napOJRTHUO 34cento It1U I c ootseTCTDyxqae HU 41nute ltMfI a KCKYCCTshy
BemtO D03JWKlmte BCJI9Qc rBB9 aecoBepmeRCTBa TpamlUROHHOro MSTOshy
Ila BCOJOAOllnllllJl pIIsIleJUlDl(ero eJlllwij oynepollMWltpoDlJtli JlarpeHshy
Daamiddot aa HeCHMUeTPlfIlllLB clJsraeMJie KOTOpLl9 He nep80M 3Tane u-cshy
eJlOIlllllHll paCCPHllnIIICR OTIlOJlJolIO AP11 OT JlP11A
YnoltodJUl MlIp aaeMelitBptll(X B3WMOlteilCTmrst LUlCTlUt lS 3JD1UJOU
Base C Wl8BlllOOl ~poltruIH lUIII O 8TYO 6onzmu p8POD II lIIw-Ka- CM9tOBaTWUI - rmrMeD KOrOpWl OfKWlHB8eT 0 1 BB3l KyCOlBK
H YHocn B Jla60JlllTOJllW lIIJl aHaJlBQ lnpe HOKOopoe llpeMfl OR
maal Doe od OroH1OM IIIYOKe R flHielO 0 cOOYJe 11 LtBJ[OM npl(
arrOM 01tJU1Iro KPOMO TpartJflUWlona Jlt160plTOpiUlX CpcoOTll It 060shy
PYAOBBHHR MY nOTpeOOBaAHOb TaKEe Bon sara B 6HHH lIIJl Jleqeshy
HRJI nope30B JUi py lQU 01 OCfPUX KpnCD OCKOJIKQB na3u PacxOMshy
MOCTH I KOUrpueHli peryJUlPH38llID1- B03111lU10 TaJCKe K8 uymw
Jt1Ul noHlIlampUDlll KaprHHW B3antOACIClDHII n llCJlOM t KaK He ftYnu MOshy
DK1lt8MBH1U DJlH BOOJleltoB8JUll1 ueJIolt B83b1
fioCJIBl(OllDlOJlblU1R ytt01 TpaX KDturrOHllX CHfIo1ft-TjllI1l COQfBOIshy
C1BYIllUdl IllC XPOHOJIOIVIeCkOlo) nOJlllJlKY HCnQJh30BllBIDl lIlt)JteT OllTh
npenC1~eH B BIlJlO IlODOJlbllO crpollHoro PfIIln
19
1 IIepexoA OJ lltBIIHoBOI IIOXaKJtICJl R DepeRO~pyelOJR _shy
TOBOR TeOpm DOJIJI ( yln npllJUWUl 1Dl) njllIBQJl K tOtq 110 BBllSH
lIYHlWBORM1gtlI01O npo9BO110 X8pa~DJlIYlO noeJl1DtWIIJlol ijJyrutshy
JSol t WY nanylpoundllm JIJIm 1l000P OpB3BOJ1bHHX DOClOJUIllla - ltOHCfSHr
CM3R
2 yqe D]lIIlUUI8 IKC 0 meJIellBo Ilt8lIlWPOIlOIIUO OMO
D]IIIDOJlIIT P yctBHollJlellllJl eMol ( B npoCTellma CIIJlwtl paBONeB)
~ ROHCTaDT 838JOOJAelcTBItII ASHHOlO 1WllI6pollOIIUl1O nltlJlJi
deg n pD
J Ieno_o nplIHlUIIIB eyea BBOJIa 8IIome OnplUl8JI8ll1Di
1l860pu ooeTOlIIIIe gaR lI3 60 aK 3 4eplOl-DOJlel (eynepshy
tqJUTlWlelll) SIIIDIDAea01BllJI lltOOplll[ ODBeWlSllCJI ollllllODellKol
IltOHOURO eM bullbull bull
liaKoaOD OpeACT8IWIOlCJI BeeWOi eMlJAlWOl neponelmlllS
eI1O aTona
4 liaJIOlIlHle pe60B8IIIB eBDplIllepoHoplOlP1elOJ01II ( nPKHIUIll
CIDl DOHIIIIIIOa 10 YeJlOBBO oayTeTllllll YJIgtTJl84DI~OT08HX paoshy
lroJ1)llllce B 1I01I8lIJD( oollo)ll8UX paClrOAJDS)01II no 4oJlMlJlHIN
n~3HaKaM C~eTQ cTonoHol D~e H ax npoKaBO~ D ~Qrp8HKRQ-
He) DJlI 3aA111HO 9118qemm emma Yl8CtBYUIIIIX lSOTBl1 4aultCllpye
CYDepc_pIIIllYD 1OO1leu nMIlI8I OTO erwl p8BItII)I JtIIY)I DMYshy
SO lIane AOOTII OJtlIOIlH8lHOlO ollJlC8llllS po B31l111OJAelCTBlll 1tB8lIshy
bull 0BlIX 000 B o611B011l )lOCT8tOIII0 BWoo Keprlll
Tew C8IIIDI B09111Oamp8O ns HllIIIIX rJJ83U H8qm8H OcyJleCTlllUftshy
C8 M81fT9 alHll1elJta naee laquolew n0JIYB8KOBOI JUlBHOCft bull bullbull bull MY
XOTD He TOJIlgtIltO HOn 18K y01poell8 OpllPOAB ( II npcllCXOJlllt
trpIlpoJDtHB JmeHU) r 80 bull 00 803MIlampHOOH llOOTW1b ~ llaquo)Se1 6Y1ltl
YlODBlecbullbull ApaROI 18 II1I)I - YBHBU noqetq Il)aPOAB lIIWI8CJI
ftMOHRO lalltOl a He lJJYtol2I bull
20
KaJt YSI OTMIlQaOClgt IICO qeH njllUDlKIlll - 1IlI IIKC eye cmr - no coool DptfponG RBImrOa HltaHMmuat TaR KBY JllR HX
ltIxgt ptqUPOBKl HOo6xo_ lltoro KIJ8HIOBIlt nOHllTlIR
DOIDmIe ltfJa3H 8OJOIoooI ltfJYHKUIII R He33BHellMOeTH OT Hee H86shy
AI11taOMWC BeAMRIi
nOHJIIRO 0 paSJIiltOlllX KB8ltlOBUX ClOTilcmuwx B 0 (1030- H
~JlIIll-l1l4IlX
OOlurroe deg nponcxotlllellltll bull CTPYKTYpc YJJJgtpaqmMOlOBWlt pocshy
XOJDlllaquo)CTeA B IQlaJITOIlOA TCOpllll UOIUI bull 0 II]lIlllllAYpe nepellopltl1polgtshy
til bull
Kwt Mll y6~ltWDCL nOCJI9JlOMlCJI1dIOe lUl[J0JI30BQUlle 3TUI
KBaliTOBW DpIIJillHUOB BBObullbullbull MOOIIYll Jtere_CTHcelYll O1pyn B
up KBWl1OBUX SlMeHB KOlOpwt II OCHOBe cnoel nO)tlHUen CTBTJlCTHshy
qeOKlDt 38SOHOlampePUOCTfDII
JlnepaTYpa
1 IilJlPKOlI I(l SW 1983 H 1063-1072
2 JljpaJ [[AM UpJllUDlJlW ItBlUrroBOI MBXIUlHIOI Iayxa II bullbull I~9
c 4(13 1Jy1I tdl3JIItJI JueprooT0I0III9JIIT M 19I13 0 4G
J tSooft G Phyenalao R~port s 1Q84 1]1 1~_I)~
4 Nnmbu y Ph61 cft Ne~ort8 1994 l2 2)7- 8
5 Gultat50n T Arkl v ( Watb 4strJys 1)46 )A 2 t
Spbullbull B R JllalhlIl7obullbull1968 l bull 1404
6 tJtloort Q VeltallUl)l Nuol Fhyens t 1972 i1 J131
7 CoOoJlo C n ila7c c60plllUt 1936 T ~ c 39
6 Sailwllrll L Tb1 rr Itl8 ltt1Itrlbutlo41IAlnDd Poria 1950
9 SoIWlllOOD lUI nape OC 1957 Ao a _h lZ 227
21
10 Bor0JID60B HB R IIJIpKOB nB BBeJ(eHHe Jl TeoPIJll KBIIJlTOBaHBHX
nonea U3Q3-sBayxa M IIrn6 ~ 113ll4-et Hayxa N 1$4
sectsect 2930 11 Coleman So Weinberg I Phybullbull Royo D 1973 ~ 1888-191 0
12 fiIlp Il Il H Jij) lB 1982 T 35 c 1221
13 Bop U Pbybullbull Rbullbullbull 1935 ~ p 696-702 DopeBOll COl ihlJoo Bop 1l00)lOJlHlie Tp)tll T2 HayRa M bull bull 197I oIB(-I91 Bop U lIa6paH1Dle Tp)tll ~ 2 11ayKa 101 19710526-532
14 Shirkov D V In onlineAl and Turbul ent ProaOS888 in Pb1 shySampgd R Z HampMrood AcadPubl II Y81 cmiddot vol bull bull eI bull
1964 p 16)71 IlAII CCCP 1982 263 c 64-67
15 Bor0JID6oB HR bull mwpKOJl nB bull IlAH OCCP 1955 ~ 103 o al3-al6
16 Biuok~bra EC Peterann A HelyPhTbullbull Aot 1953 y~ p 49~520
17 Gell-aampDn a Lo_ 7 PbJbullbull lev 1954 v~ p 1)00-1)
lS W1180n X aev MOdb7ao 19BJ 22 p 58)-599
19 r OJlloltlgtUUt IlA Ilnu Bn n0l0IIIIl B J)iqI 19I 13 452
20 Parkbullbull A and wbullbull t P bya Let t 1984 v ~ p 99-104
21 31bmTeIJ 1 0 cOIIIUeHHOM OOCTOIIBIIl ~eoP nam - COOp HBrUI TPJIlOB T~ HayJca Yo 1966 c245
PyxOUlC OOCl)1IIWI B H bull lM9JIlocKHll OTlleJI
9 OKI86p~ 1985 rollB
22
bull
W~DK08 aB P2-85-729 KBaHTOB~e np~H~~n~ 80 B3a~MOaeHCT8~~X none~
B80A~TC~ nOH~THe KsaHT080iO np~HUHna KaK npHH~Hna npH OOpM ynHpO BKe KOshy
Topo r o c~ecT8eHHO Hc nOnb3y~Tc~ KBaHTOB~e npeACTaaneHHA H cneUH~H~eCKHe KBaHTOB~e nO~THR Pacc~aTPH8aeTCA ponb Tpex TaKHX n pHHUHnOB
npHHUHna nepeHopHHpyeHocT H HH a4e - KsaHTyeMOC t H - npHHUHna noKanbHoM KanH6poe04HOH cHHHeTpHH - nplo HlI lo1 nA cynepcH_eTp IoH1
B pa3SK TH H K8aHTOBOH TeopHH no~ B CBA3K C nepeWM 1013 3THX npHHUHnoe aHan]H py~ l CR eop-nbHaR CTopoMa CH 3H4eCKOC COAep~HHe npo ue AYPW ncpcHopHHpo eOK 8 KTn ee C8A3 b ~ HanH~HpoundM ynbTpacentHonCTOBWX p aC XOAHHOCTeM H pe HOPMr pynnoH n p HH UH n nepeHOOHHpyeMOcTH OOPMynHPyeMWM KaK rpe60aHHe c~eCTBoeaHHA BHyT shypeHH e HenpoTH Bope wHaOM Ka~TOBO~ epc~~ A~HHO~ ~~eJ~ B3aHHoAe~cTHM non~
oKa3BaeTC~ 3KBHBaneM THhUoI YCI108HO KII3 HTyCHOC TW nH K IIHrOBOC T~I nCUC83aHO ~TO noc~AOaTenbMoe B HCTo~~eCKOH nnaMe kcnonb 308aH~e Tpex KBaHToswx np~I ILllolnOA Dce 60nee orpilM~4H9aeT B03 MOlliHbH AHlfUMo14 eC tue Mex3HH3MbI 83aHMO shyAe~cT8H~ KBaHTOB~X noneK
P~60Ta awnonHeHa B fla60paToDHH Teope TH4e~KOM ~H3HKH OHRH
(JpenpttMT OI5be[lMHVDloro ICC1MTYTa JIIAepx MCcaeao A ilYe 198)
bullnepeaoA a lTopa
Shi rkoy DV P2 -85-729 Quan t um Pri nciples in Field In t e r actions
The concep t of quant um pri nc iple is introduced as a pri nc iple the forshymu lat ion of which is ba sed o n specific qun lu~ Ideas and notions ~e consi shyder t hrae of such princip l ~s
- the princ ip le o f quant izab i lity - t he principl e of local gauge s~etry
- the princ ip le of supersymrnrlry and their role in devel o ptlen t of the quantuo fie l d theory (QFT) Concern ilW the Fi r st o f them we ana lyze forma l aspect s and phy~lca l contents of the rcshyno~ll z4t ion procedure in QFT its relation to ultraviolet dlYergences dnd the renona-grou p The renonmallzabl li ty property formul ated as an eX i stenCe coRd i l ion of self-consistent quantum ve rsi on Wllh a ]iveh mechanl5lll of the f ield interactIon turns OIt to be equivalent to quantizab i lityl t i s ~ howo t holt the consecutlye from a hls torl c~d porflt of v i ew uie of these qtJantuln prlncip l e~ pull ~ tl l l IQrger II~ i t~t i on5 on pOs~ibla fonms of field lnt~shyract lon~
Tht illvnSlif)alion tws ~en performed a t the Labor4llory o f Theoreti cal Phy 5Ir~ JIHA
Prlrdnl or 1-1141 J oi nt Inetitute fo r trucler b rch flubna 1985
bull
elttpo R B OKTJlKOCIQDI S8Pf1110 e TIlJOIO pBM3lBl1lOIO
OKlPOHa Upc06pl30B8lllle DtmIlII8lIeHTHOe peHO)lIapyunOBOlIY_shy
HO npellCTaBHTL c060 JltlK nopcXOll OT OJIHOI HMOK8ll1gtllO annpoKshy
ClUi8DHl1 K JUlyro8 TaIaDI 06pa90 D OTJlFIIe OT DJlllrllll3l0IW1Il10ro
DOCTpoelllll pcHO]raquoltlpynna Iou-IlruUUl bull oymiddot eCT lpymta Upc06shy
paO 8IltYTp IIlIOaeCTD8 HeJOJlt8JgtBHX MOJleJlO K31I lUellllo OHa
BeCbMB po(CTBCHHa panopcrpynne BKAbooHa s CrBTlCrlflleoKol
qm31lJ(e rAe COCT8lIJlilJIIIlle nMPPYrmy npe06pa3oBpoundllllllr COOTom D
K8JUlHOBClltOM KpyIIHBKill aJIeWDBIfapHWX IDlltpooJtOI1lIIIeoJOlX 6JloJtOamp
aanpawep dnoKOB OllHHOBUX peweToR
5 rtpHH1lM1J R1UHtyewocTH
Bo3DpaIllastC R np(llJlKlD1aJ1nol CaPOHO onepa1Ulll nepcllojIIGIshy
POBKII KOTOpan 06 C)IJI1laJIBCh llliIIIe 1l KOlIUIgt pa31leJl8 3 3811eHll
1TO B CBeTa npoelleKHHX TaM npmtopoB Calm oD0101BO noponoptJlshy
~CMDC~H MOampe~ 6HTb paccMOTpeao C Honoa TOqxH 3POKaR
06_ JlOIBRY pacO)lJl1lCIDtII M CTa DO JUlDy y r Jlo lllallshy
TOBYI 31lJ18IY BSlIlIIOOllelCTBlIJI OM DlUDIlI ITO aeuePaHOpoOpyeshy
MOCTL 3KBHBanC~Ba HBB03MOODOOTH nOCTpoeRKK ~oBOnonoBOI
IOOJleJI1I C JtWIIIHlI LUlXIlIIJISIok) B381Do1OIlelcIBIlJI noJIel Up llsrJlJUle
o l8JltOI no31lUlU omuLBBDTCSI paBHonpanRHM gtttenll qeTYpex4Jepaashy
OHllOlO B38H1OOIleAcBKR ~pMH H neeDllOBORTopHOro B38BMOJleICTBIR
DlUUill I Do aae IC)a6Ih ttC8BAOCJQI4SlPHOro DlUiBOXOlO lJ381D1OIlelcfshy
BlUI ( a OllHoR JIOHOIBHlOI OWlllII T o He conpoDOQaellWl npJDIHII
DII0H-IIIOllllHlol B381Do1OJlelcTBHe ) a llt8JIlI6poBOUIWI Iok)IlWDo onposhy
CJl811oro D8lDClllOaOTBIR JIOIIIOHOB ( a UeOKOMneHCftpollllHHHllll Wloshy
1IIlDJDoIII) Bee u 1ok)1I8J1lO 08 Iok)ryT 611Th ~O a RORIlX-060
nOCJIeJtOBaTenhltHX IG8JlTOJUlX 180131 IlOIJl K8K COOfBeCBYD1Ol8 dacshy
e90om (VIllI OJIYlWlOCHIOCIQe) uptlJlMll
14
Teueph MOIRO laTh npoOTYI ~PlIYJIlO POBKY nplllUUlt1Ill KMJIshy
-ryOYlCTR 3aMCHHDIlero CBOlcTBO nepeHopcapyeYlClH
- D oopu pcJUUIIllJICTCKlIX nMea CJle)lyeT paCCMSpD8TL
()(aampe no M aCCqOCKO y poBIIC ) lOJIKO T lUte 1AOIlllJlll H axaHllSw
B3 QDK)DeicrBM llOJ1 e bull bull ROOjlHe )to nyCKBm nOCJlelOB8TeJlhJtoe tmaHshy
lonoe pBCOMOlpeUJle I T e f8Jtf(JJT(U( M9CCWQecfGOOI WUlJlOI8MJf
llI(yTpclDle llenpOTlIlIOpcltllllWC OIQHfOBOnWleDIlX IOOlleJle~
6 Pon KDalITODIIX IlJIHHllJIIIOD
06paTllMCH Tenep R POJIll JalIIHTOBllX np(lllllIIJoD D IjJo(lloGlPODashy
IlIltgtI CODPCWloro 06Jllut8 JIII1IHTODOI TeOplIJI nltWI lanOMHIIII BOshy
nCPBla liTO yse B B8tWJe 50-x roADH 6WlO OC03ll8lfO lTD B
oTJlIfllJe OT KBaHTOBOI waXlUcaq I IAO IlJOpquPOUJW uUlsam B38HWOshy
IlelCTIllIJI Ilrumol COBOI)lIJlOCTil qs= llonycROel DDellelUle CooTshy
llO1CTDYUllelO OICJlO npoH3JlOJ111WC ~IKlIIIlI (nOTeIlQIIWlOB) B TOshy
pu KD8ITOllWC nMeil npoa300Jl B JlarjlllHDaHe B381l11OJleI~8KJ ltliKshy
capoBllllHOI CHoTew none orp8HllonmaeTClI netloJrbllllll HMOM ROII shy
CTaHT BSWDIgtJteiClBU KBaHTOBaSl T90PKSl nOJlJI He ItOrrY0Ka8T nposhy
B3BO1gtBHX IjgtyHHI1Jlt qTO JIlWieTCH OJIellCTlUIeli YOJIOBHR nepaHOjlMHshy
pyeMOCTIl
CeJQeT OIII8TIdlb lTO nepOOJ18lMltHO aTO CDOstOlBO npenshy
CTaBlIJlJlOCb CJlu6w MOOW JmQHToao1 TeOpml DWUI OBJ3poundlHHla( C
HecoBe~eHcTao Jlo CrYlfHKl TOrll8 Teope1H IeClQtx MelOItOB D ne~
lyIl oqepelllgt WlTOIl8 Teopo D03lIYIIeHKA ll]lWllt8X RC)TOpol II oposhy
BO)lU80 U800Jl4ltJt8lll11 n epeIlOplolllpy0MgtCTH B nponaonMltWIO~
alOIQ cnyor a 20 JIe-T CBOICTBO n epeHOPKIIPYOMDCH I KBJI01eHliOe
B BHIle Tpe60Mlllll IIOJlIllllllllilllll4 SllollaJDlJl ClllJlWo 0YIIICC1IIOIurym
15
JlOll1gt ) nOC1poeHl1 O7WUlBpTBOI IO)Aegtl 8lIeRrpoaJta611X B9IlKlolleRCTshy
IlHI B B cjJopMnJlOBIIKlt1I nOHlinJi noKOJIelWl qpMIIOHOB B lBOTOIIshy
~ee BpeMH npeJttr8BJtflDTCJI H8C011HotttlHll lJTO ot1llTHHe llatDtWO no
OJsO MeRrpoalllTIIHIoI B CULIIliM BWDIOAelcT1IIIDoI ryT 0111gt
orut08HLl llaquo)JlJf1lectB8H110 c noYOlllU) nopeuopmpycMllX ltB8IftOBOnoueshy
DIIX IIOAenel
CMbullbull IIDJ1Y paIllIOOI KOH07aJlT8MII BSIIIDlgtAeAorBIlII yOtampshy
IUlllJIIllQl)ICII npllIUlJmOIl JlOIIBJILIIOI 1ltaIIlI6poooltltoft CIIlIITlI ( J(](C)
I~llKe II nOJlllol pe Oilll ocjJopOJlJlPOBaR ija91lOKIII
npmllllll B 1954 r llHroll 1 IMJlOOII ROtopHe H8 ero 0080ue BB8JIB
HOBIliI MIl00 cawoAolOrnyDaIIX BeRTOpIllX peiIImDllI07ClQIX UOiIeR
H83JmaellllX Tonepb R8JI1IOPOBOlHllllB nOJllllll BJIJI nOJlllllll Ru18 - IIIIJIshy
)lea 3tlt nOJlB nollODK) OBOBX B1ryTpeHHHX ODOI~B CBSI30lDDJX c
HMIIIleluoonlgt CB060)lllllX ypmlHeHd _eHlll qllfeJlgtllH 0
TOIJO 3peHBII JIX B38K11OAeAOTIJIII C IUlYnDUI nllMllH MilllllJlanHoe
B3I11111OAelofllJle llt8JUlOPOIlOIIIoro nOllJl C UOJIJDUI ~eplDl O)lllOIUIIIIO
no cjJoJlllO bull xBpeneIll3Y0l0II o)llloll KOSOrBlI101 OBRbullbullbull B CJf1UI8
noaOeneBB nltWI Tn ae 08II8Jl KOIIOtWlttB lIXOJIII B ltaJlJlHollml
OHH CBOOO)lllOl YJl8lIIIeHBII nOllJl
K JtOJUlY O-X nlJtOB BWlCiWJOOb ~o Ppound fOUKO aJl8KTPOMarshy
1lIIlHHIl )o TaJalO OIIaOIiQ II CUlgtHliO BaJec~ OopeROshy
CJI K8J[JJOpollOIItIOII BeftOlIJAII nQJlJlloOl BCJI8)CTBHe qero II IIlJlCTB8
B38J111D)1e1OrBy-IIIIJOt Kll8lITOBUX nOJlol Ollpe)16J1J1n1tYl) poftb IUpam
BOOro 1pIl KORCTBKTII OlllllB BRe paYOR 011 CTpollROIl bullbullKOBO
Bol K8pTBHH 007801011 IlOnpoo 0 KBWlTOIlOI TOP rPBBBT81U11l
3ltecamp o1XJ8JtO ncRBlUlWCb 1it CJIlOOtDeIDlO OKP8nu as uocneJtHK8
lOJ1II BIIA_ OBn8lllOl 0 oyn~BpII81 (CtCH)
16
Kax llaoeCTHo CyCIt c_eT MegtIIl 00601 qaC~ c U8JIIIIIJI
B nOJlJ1lemD4lf CIIHK8MB (TOuee - KBaHlOlUIG nOJUl no~eQII
lt10- II gtBJNII-IIpeCftlBOIlOtIIUII COOfBOEBBlIII) UOAOOSO I0Il1 K8lI
rptnmlt lUI11peHHeI OBIIIIB~pIDl I181JlIII8P IlSM0IDII80K0ft OBIIUlUlam
ltPT C JQgtYIOM UCIiWY C OJ[KB8XOllDOl COIBS Jl 6na3lUllO M8QC8MI
O)lllBXD eye n JIBJUIOTClI BlI)lpeRHoB o aPoaA a npe)1CTIUW8T
co6oll ooo6oe p8CIlIIlpelle ClMIeTpHIl COO1BBTCTByuJlel rpynn U--
IUlpe 310 olto6J1leHBe OIIITOe 198 1lt8 7O-x ro)108 npeJ1llOJlllshy
ra paCIDpB 4-oIepeoro DjlOClpBHO 1mult0BCJltoro 10 middotcynapshy
UPOCfpBHOTB8 KOTOpoe H8Jl1lA1 c o6IlIIIIIIIII UPOOTplJllTJBIIID-Ilpeshy
MBHmDCI KOOPJDlH8T8MJI COABJlIllT JlODWlHHTB4bHHO CIIJDIOptW8 8HTIIKOIIIshy
iIlTIPYJJIDe lIeJU1 oo6oil c qpom-llOJllllll 1tOOp1lllHamplW - 1BIt Haa
06paBIDJIjIO 8neOpu IpeCCIIIIH8 ifmleltcOil paaJJBpeHBII cynepcTshy
pHIl DP~ TaI IIIl3IIll6llT ~oe ~IICJ10 IV I8l108 TO IIICJlO CI1lIll0Pshy
HIiX rpacCollBHoJlllX OdPB9)IICBX _ 0 2N bull B Jgt8IIIl cye 1I181l1OIIIIe
UOampJI rpynnJlp)lltCJI no 0PBIIcf8amplle rptnmlt C-C npeoltlpasoJl8l1BI
OOpllBYIl COltnBBTCTBJDIIlB IIJJlIIUOTII coc~bullbullbull 001 pIISJ1lRshy
IDIX CUJlBOB IUIR UeJIJU BIt bull OaJlyIl8J111l[ (aqO - cynepnWJJI)
BoeAcTBl6 8~OPO cCa YOTABAfIBA8T uPOCTHU CBRUB we~
kOHOTaM ll38JIIIO)telcTBIVl HOKOTOpol OOIlylII00Tll 60samp- H gtBpshy
lIII-oOJIoI 06pas-DIIoA cynopnOJI 1k~8110lilUtll CTPYIIT)pu D8POHOPshy
POSOII jlIUIIl CyCw lOO)1e~el 8118 B cepelllJfgt 70-1 lOJIOIl IILIIWIO jlIUl
38MOi8eJlhRIU OOcTORTelhCTB OILaaaJlOCh ITO B l8KIQ MOAIUJa
UCTO OPOIllWlOTCII TOBJellllBll K COKpeu811111l peCltOIDOCTB aw 06I18P1UHIi 1I0)1emJ lBrpBJmIAI B38IDIollelcnaJi TOpIX ltllA1U
npa)1C~8MeHII qOp8B DOJLII OOPBB1JIIIII8 cynojllOJlil IIIIpIIlIIlIITCII C1llshy
Mol OUlOHOII IUllUUltI lIS TOpIX rpe01B lI1I6HBR 080K0Henu KOIlty-
lUI8HOB QIH8xo npB nOJeWDl C1llllll BUllJlOIl lUWHOlO nopllJlKll
110 J OT HOe CllllIfUUAlXampfUp6HDBHll O)UlSwa88TWl IlOCT8TOUBIIl
HeltSoJJtoro uam KOHrPU8HOB He l18pJEWIIIIX 0YIlOPCHMMUT)lUD
17
OcuomISR wacca KQHTJU8UOBpaaeHlDlX lapes lICOOT1ULllRllllBe- cyshy
nelllYTHI1Je~ nOJlJlt ItOMDeH0Ilpy8T APYl APyra lneo~ 0Ita3WJla8TCII
DO~ lIIYDpClBllllgt II]l8BIIJIlI ~1BII8Ba HlmOOpOAO~B8RBO JlIJI
OynBpIOrid Ecn npoBeCTK 0URC8IIHW8 BlUCJ18lW1 no oynepnpanrraM
~_ ~O ltOllllleBOIIY~eCR peOXO1lllraquoDcmI Be B0811l11Q111r 1ClO6ae
loo ~~ _aT SBeOUJ IICOJlIII80K1Jgt 8IaJIOIHD 1I0000e OOSshy
IIIIJWI KOIIIUI ~ 101108 KOB8PIf4IIHOI eopllll BO~ B ItOshy
Cpol HUll bull 8B1III401lllll B BIIpTyamIIIU OOOOIIIWIX OJIJII 061ampshy
JDlHeBil B a_a upooar8OjlII mTUlt806epra - ~1JDmBa OIIoUUOOL
qO CMmen pampCI()lIIJIOCft Co60T1eHHol Bepro 3Jl8JtfpClll4 bull KaJ
nOHIBBA8CL C ~1B01 110 40rap~8cxol
lIaadoJIe M C 4gto01lleOlltol 10 Bp8Bll11 lDWDllCII up8p11
nomoA 1UlIIlJ1ilI08IDIII paogto~1 B 881t010pili CnellDlIMX IIlQJlUIIX
Pen IIJlOT 0 IlD 1oIOIl1WIX pacup8aaol (II gtI) C)Clt 00Il~shyIIIIIX oaO IltampIUI6pClBOIHIl1 n()lll B ItOIOpili BLIIIJIIiI n shy
IIluco B nep8BopllllpClBll1 1lQII0T8BIII 0l1li8amp bull TOlBOCTII kOIIIJelloPJ-
Dr _ OIIIIJIOpiIIIX DoJeI IIIlTIIJIIII Dpil STOW 0ItM 8 tCS ITO
np nDCIBAOMTOOI flBTe CyCa 118 n~ n ex Clampshy
ad T e npJI 1I0001ln10l6JDlI OJUBpiIp8BILl hlJDmBa bull l0lppaA8Ogtshy
ue p8OX~fi npClllUampOpoB bull BOpGHgtltIX ltI1HIltIUlI IlOTOpliB DPII
n OJtQIiIII0H8STJIKI BiAlCteDU OaamplIWBaIJIrml BI8WHO CHONIIBHCHPODEUUWM1t
raquo n epe80JlDPOJ1K8 ~ I ll6 BOIIlDADT 1IOa08
l8uII 06pa_ UCIIfIOBil cepJ88B110 JPI8IIU U DO_OOTlo
C1lOHOMIDIlI IIIc1o1w101O CD CUllUT8IlIIIa 1IOJteu1 IOIltIIIJshy
Hoi DBlItOBOI TeOPU DOampIl bull ~puaI npCl~CT~ cmo-
6oDIa Ot JnTp84aOTOBDl paoxo~l
lJoIOORIlte ~ IoIOrrr JDlIlUCII TeopeT1A801lO1 00801101 T6amp01O
-ug- OOteunVWB ~IM Quel - OJD8~elDUl
up IlOTOpCM B o6IaOfi OOll1OlBO 00amp1[[ lIJIoprd 0GEWltB0IJII8JI
derJIIILIIa sIIIIUDIIU IIOBOTRBTa 0111811 1i n epaollu 6uau 18
T e MeRRT hCg c A8AhUe~ POCTOM 3HeprHH H ORa3WDaBTCH paeshy
HOi3 HeMoOpoA KOHcrrurre d I K01oprut ClOOtlet(ttByel umshy
cNUIte Ctlll9l OrosmteA B AarpaHIJUme B UpaltT1J1l0CKHX RH3JltoaRe~
lO-TJIt[e cJQtX mABOJIOJOUlX J llB4BHMe poundmCCH DOJlHolO 06~eJtK]teHlUl
lllltOIyoae1 B lCjljleKTHBHOro HMDyJILCB 06peaIHI C OqlUl 3pcshy
mt1J TSQOC BllnICJIellHR 13KJ1QD JOtsrpawc co cacpxTJmelllaQl BlPlYMb-
1lJ1MH qOCTHUStm IwpmeHCHpYlJmMH paCXODlIMOCFU JIelfCHX JDJorpor_
MOSHO paCCMaTPlIBaTL IWR cDOco6pa3UYU luntepuarri3~lJrJl mrXOB
fiaYJIH - BKuapoa 11 bull
YAh1JXMIH0JI9TOBWB paCXOlDlJrNgtCTiJ lUjClYIl81JT UP 8lorrd trotlt
napOJRTHUO 34cento It1U I c ootseTCTDyxqae HU 41nute ltMfI a KCKYCCTshy
BemtO D03JWKlmte BCJI9Qc rBB9 aecoBepmeRCTBa TpamlUROHHOro MSTOshy
Ila BCOJOAOllnllllJl pIIsIleJUlDl(ero eJlllwij oynepollMWltpoDlJtli JlarpeHshy
Daamiddot aa HeCHMUeTPlfIlllLB clJsraeMJie KOTOpLl9 He nep80M 3Tane u-cshy
eJlOIlllllHll paCCPHllnIIICR OTIlOJlJolIO AP11 OT JlP11A
YnoltodJUl MlIp aaeMelitBptll(X B3WMOlteilCTmrst LUlCTlUt lS 3JD1UJOU
Base C Wl8BlllOOl ~poltruIH lUIII O 8TYO 6onzmu p8POD II lIIw-Ka- CM9tOBaTWUI - rmrMeD KOrOpWl OfKWlHB8eT 0 1 BB3l KyCOlBK
H YHocn B Jla60JlllTOJllW lIIJl aHaJlBQ lnpe HOKOopoe llpeMfl OR
maal Doe od OroH1OM IIIYOKe R flHielO 0 cOOYJe 11 LtBJ[OM npl(
arrOM 01tJU1Iro KPOMO TpartJflUWlona Jlt160plTOpiUlX CpcoOTll It 060shy
PYAOBBHHR MY nOTpeOOBaAHOb TaKEe Bon sara B 6HHH lIIJl Jleqeshy
HRJI nope30B JUi py lQU 01 OCfPUX KpnCD OCKOJIKQB na3u PacxOMshy
MOCTH I KOUrpueHli peryJUlPH38llID1- B03111lU10 TaJCKe K8 uymw
Jt1Ul noHlIlampUDlll KaprHHW B3antOACIClDHII n llCJlOM t KaK He ftYnu MOshy
DK1lt8MBH1U DJlH BOOJleltoB8JUll1 ueJIolt B83b1
fioCJIBl(OllDlOJlblU1R ytt01 TpaX KDturrOHllX CHfIo1ft-TjllI1l COQfBOIshy
C1BYIllUdl IllC XPOHOJIOIVIeCkOlo) nOJlllJlKY HCnQJh30BllBIDl lIlt)JteT OllTh
npenC1~eH B BIlJlO IlODOJlbllO crpollHoro PfIIln
19
1 IIepexoA OJ lltBIIHoBOI IIOXaKJtICJl R DepeRO~pyelOJR _shy
TOBOR TeOpm DOJIJI ( yln npllJUWUl 1Dl) njllIBQJl K tOtq 110 BBllSH
lIYHlWBORM1gtlI01O npo9BO110 X8pa~DJlIYlO noeJl1DtWIIJlol ijJyrutshy
JSol t WY nanylpoundllm JIJIm 1l000P OpB3BOJ1bHHX DOClOJUIllla - ltOHCfSHr
CM3R
2 yqe D]lIIlUUI8 IKC 0 meJIellBo Ilt8lIlWPOIlOIIUO OMO
D]IIIDOJlIIT P yctBHollJlellllJl eMol ( B npoCTellma CIIJlwtl paBONeB)
~ ROHCTaDT 838JOOJAelcTBItII ASHHOlO 1WllI6pollOIIUl1O nltlJlJi
deg n pD
J Ieno_o nplIHlUIIIB eyea BBOJIa 8IIome OnplUl8JI8ll1Di
1l860pu ooeTOlIIIIe gaR lI3 60 aK 3 4eplOl-DOJlel (eynepshy
tqJUTlWlelll) SIIIDIDAea01BllJI lltOOplll[ ODBeWlSllCJI ollllllODellKol
IltOHOURO eM bullbull bull
liaKoaOD OpeACT8IWIOlCJI BeeWOi eMlJAlWOl neponelmlllS
eI1O aTona
4 liaJIOlIlHle pe60B8IIIB eBDplIllepoHoplOlP1elOJ01II ( nPKHIUIll
CIDl DOHIIIIIIOa 10 YeJlOBBO oayTeTllllll YJIgtTJl84DI~OT08HX paoshy
lroJ1)llllce B 1I01I8lIJD( oollo)ll8UX paClrOAJDS)01II no 4oJlMlJlHIN
n~3HaKaM C~eTQ cTonoHol D~e H ax npoKaBO~ D ~Qrp8HKRQ-
He) DJlI 3aA111HO 9118qemm emma Yl8CtBYUIIIIX lSOTBl1 4aultCllpye
CYDepc_pIIIllYD 1OO1leu nMIlI8I OTO erwl p8BItII)I JtIIY)I DMYshy
SO lIane AOOTII OJtlIOIlH8lHOlO ollJlC8llllS po B31l111OJAelCTBlll 1tB8lIshy
bull 0BlIX 000 B o611B011l )lOCT8tOIII0 BWoo Keprlll
Tew C8IIIDI B09111Oamp8O ns HllIIIIX rJJ83U H8qm8H OcyJleCTlllUftshy
C8 M81fT9 alHll1elJta naee laquolew n0JIYB8KOBOI JUlBHOCft bull bullbull bull MY
XOTD He TOJIlgtIltO HOn 18K y01poell8 OpllPOAB ( II npcllCXOJlllt
trpIlpoJDtHB JmeHU) r 80 bull 00 803MIlampHOOH llOOTW1b ~ llaquo)Se1 6Y1ltl
YlODBlecbullbull ApaROI 18 II1I)I - YBHBU noqetq Il)aPOAB lIIWI8CJI
ftMOHRO lalltOl a He lJJYtol2I bull
20
KaJt YSI OTMIlQaOClgt IICO qeH njllUDlKIlll - 1IlI IIKC eye cmr - no coool DptfponG RBImrOa HltaHMmuat TaR KBY JllR HX
ltIxgt ptqUPOBKl HOo6xo_ lltoro KIJ8HIOBIlt nOHllTlIR
DOIDmIe ltfJa3H 8OJOIoooI ltfJYHKUIII R He33BHellMOeTH OT Hee H86shy
AI11taOMWC BeAMRIi
nOHJIIRO 0 paSJIiltOlllX KB8ltlOBUX ClOTilcmuwx B 0 (1030- H
~JlIIll-l1l4IlX
OOlurroe deg nponcxotlllellltll bull CTPYKTYpc YJJJgtpaqmMOlOBWlt pocshy
XOJDlllaquo)CTeA B IQlaJITOIlOA TCOpllll UOIUI bull 0 II]lIlllllAYpe nepellopltl1polgtshy
til bull
Kwt Mll y6~ltWDCL nOCJI9JlOMlCJI1dIOe lUl[J0JI30BQUlle 3TUI
KBaliTOBW DpIIJillHUOB BBObullbullbull MOOIIYll Jtere_CTHcelYll O1pyn B
up KBWl1OBUX SlMeHB KOlOpwt II OCHOBe cnoel nO)tlHUen CTBTJlCTHshy
qeOKlDt 38SOHOlampePUOCTfDII
JlnepaTYpa
1 IilJlPKOlI I(l SW 1983 H 1063-1072
2 JljpaJ [[AM UpJllUDlJlW ItBlUrroBOI MBXIUlHIOI Iayxa II bullbull I~9
c 4(13 1Jy1I tdl3JIItJI JueprooT0I0III9JIIT M 19I13 0 4G
J tSooft G Phyenalao R~port s 1Q84 1]1 1~_I)~
4 Nnmbu y Ph61 cft Ne~ort8 1994 l2 2)7- 8
5 Gultat50n T Arkl v ( Watb 4strJys 1)46 )A 2 t
Spbullbull B R JllalhlIl7obullbull1968 l bull 1404
6 tJtloort Q VeltallUl)l Nuol Fhyens t 1972 i1 J131
7 CoOoJlo C n ila7c c60plllUt 1936 T ~ c 39
6 Sailwllrll L Tb1 rr Itl8 ltt1Itrlbutlo41IAlnDd Poria 1950
9 SoIWlllOOD lUI nape OC 1957 Ao a _h lZ 227
21
10 Bor0JID60B HB R IIJIpKOB nB BBeJ(eHHe Jl TeoPIJll KBIIJlTOBaHBHX
nonea U3Q3-sBayxa M IIrn6 ~ 113ll4-et Hayxa N 1$4
sectsect 2930 11 Coleman So Weinberg I Phybullbull Royo D 1973 ~ 1888-191 0
12 fiIlp Il Il H Jij) lB 1982 T 35 c 1221
13 Bop U Pbybullbull Rbullbullbull 1935 ~ p 696-702 DopeBOll COl ihlJoo Bop 1l00)lOJlHlie Tp)tll T2 HayRa M bull bull 197I oIB(-I91 Bop U lIa6paH1Dle Tp)tll ~ 2 11ayKa 101 19710526-532
14 Shirkov D V In onlineAl and Turbul ent ProaOS888 in Pb1 shySampgd R Z HampMrood AcadPubl II Y81 cmiddot vol bull bull eI bull
1964 p 16)71 IlAII CCCP 1982 263 c 64-67
15 Bor0JID6oB HR bull mwpKOJl nB bull IlAH OCCP 1955 ~ 103 o al3-al6
16 Biuok~bra EC Peterann A HelyPhTbullbull Aot 1953 y~ p 49~520
17 Gell-aampDn a Lo_ 7 PbJbullbull lev 1954 v~ p 1)00-1)
lS W1180n X aev MOdb7ao 19BJ 22 p 58)-599
19 r OJlloltlgtUUt IlA Ilnu Bn n0l0IIIIl B J)iqI 19I 13 452
20 Parkbullbull A and wbullbull t P bya Let t 1984 v ~ p 99-104
21 31bmTeIJ 1 0 cOIIIUeHHOM OOCTOIIBIIl ~eoP nam - COOp HBrUI TPJIlOB T~ HayJca Yo 1966 c245
PyxOUlC OOCl)1IIWI B H bull lM9JIlocKHll OTlleJI
9 OKI86p~ 1985 rollB
22
bull
W~DK08 aB P2-85-729 KBaHTOB~e np~H~~n~ 80 B3a~MOaeHCT8~~X none~
B80A~TC~ nOH~THe KsaHT080iO np~HUHna KaK npHH~Hna npH OOpM ynHpO BKe KOshy
Topo r o c~ecT8eHHO Hc nOnb3y~Tc~ KBaHTOB~e npeACTaaneHHA H cneUH~H~eCKHe KBaHTOB~e nO~THR Pacc~aTPH8aeTCA ponb Tpex TaKHX n pHHUHnOB
npHHUHna nepeHopHHpyeHocT H HH a4e - KsaHTyeMOC t H - npHHUHna noKanbHoM KanH6poe04HOH cHHHeTpHH - nplo HlI lo1 nA cynepcH_eTp IoH1
B pa3SK TH H K8aHTOBOH TeopHH no~ B CBA3K C nepeWM 1013 3THX npHHUHnoe aHan]H py~ l CR eop-nbHaR CTopoMa CH 3H4eCKOC COAep~HHe npo ue AYPW ncpcHopHHpo eOK 8 KTn ee C8A3 b ~ HanH~HpoundM ynbTpacentHonCTOBWX p aC XOAHHOCTeM H pe HOPMr pynnoH n p HH UH n nepeHOOHHpyeMOcTH OOPMynHPyeMWM KaK rpe60aHHe c~eCTBoeaHHA BHyT shypeHH e HenpoTH Bope wHaOM Ka~TOBO~ epc~~ A~HHO~ ~~eJ~ B3aHHoAe~cTHM non~
oKa3BaeTC~ 3KBHBaneM THhUoI YCI108HO KII3 HTyCHOC TW nH K IIHrOBOC T~I nCUC83aHO ~TO noc~AOaTenbMoe B HCTo~~eCKOH nnaMe kcnonb 308aH~e Tpex KBaHToswx np~I ILllolnOA Dce 60nee orpilM~4H9aeT B03 MOlliHbH AHlfUMo14 eC tue Mex3HH3MbI 83aHMO shyAe~cT8H~ KBaHTOB~X noneK
P~60Ta awnonHeHa B fla60paToDHH Teope TH4e~KOM ~H3HKH OHRH
(JpenpttMT OI5be[lMHVDloro ICC1MTYTa JIIAepx MCcaeao A ilYe 198)
bullnepeaoA a lTopa
Shi rkoy DV P2 -85-729 Quan t um Pri nciples in Field In t e r actions
The concep t of quant um pri nc iple is introduced as a pri nc iple the forshymu lat ion of which is ba sed o n specific qun lu~ Ideas and notions ~e consi shyder t hrae of such princip l ~s
- the princ ip le o f quant izab i lity - t he principl e of local gauge s~etry
- the princ ip le of supersymrnrlry and their role in devel o ptlen t of the quantuo fie l d theory (QFT) Concern ilW the Fi r st o f them we ana lyze forma l aspect s and phy~lca l contents of the rcshyno~ll z4t ion procedure in QFT its relation to ultraviolet dlYergences dnd the renona-grou p The renonmallzabl li ty property formul ated as an eX i stenCe coRd i l ion of self-consistent quantum ve rsi on Wllh a ]iveh mechanl5lll of the f ield interactIon turns OIt to be equivalent to quantizab i lityl t i s ~ howo t holt the consecutlye from a hls torl c~d porflt of v i ew uie of these qtJantuln prlncip l e~ pull ~ tl l l IQrger II~ i t~t i on5 on pOs~ibla fonms of field lnt~shyract lon~
Tht illvnSlif)alion tws ~en performed a t the Labor4llory o f Theoreti cal Phy 5Ir~ JIHA
Prlrdnl or 1-1141 J oi nt Inetitute fo r trucler b rch flubna 1985
JlOll1gt ) nOC1poeHl1 O7WUlBpTBOI IO)Aegtl 8lIeRrpoaJta611X B9IlKlolleRCTshy
IlHI B B cjJopMnJlOBIIKlt1I nOHlinJi noKOJIelWl qpMIIOHOB B lBOTOIIshy
~ee BpeMH npeJttr8BJtflDTCJI H8C011HotttlHll lJTO ot1llTHHe llatDtWO no
OJsO MeRrpoalllTIIHIoI B CULIIliM BWDIOAelcT1IIIDoI ryT 0111gt
orut08HLl llaquo)JlJf1lectB8H110 c noYOlllU) nopeuopmpycMllX ltB8IftOBOnoueshy
DIIX IIOAenel
CMbullbull IIDJ1Y paIllIOOI KOH07aJlT8MII BSIIIDlgtAeAorBIlII yOtampshy
IUlllJIIllQl)ICII npllIUlJmOIl JlOIIBJILIIOI 1ltaIIlI6poooltltoft CIIlIITlI ( J(](C)
I~llKe II nOJlllol pe Oilll ocjJopOJlJlPOBaR ija91lOKIII
npmllllll B 1954 r llHroll 1 IMJlOOII ROtopHe H8 ero 0080ue BB8JIB
HOBIliI MIl00 cawoAolOrnyDaIIX BeRTOpIllX peiIImDllI07ClQIX UOiIeR
H83JmaellllX Tonepb R8JI1IOPOBOlHllllB nOJllllll BJIJI nOJlllllll Ru18 - IIIIJIshy
)lea 3tlt nOJlB nollODK) OBOBX B1ryTpeHHHX ODOI~B CBSI30lDDJX c
HMIIIleluoonlgt CB060)lllllX ypmlHeHd _eHlll qllfeJlgtllH 0
TOIJO 3peHBII JIX B38K11OAeAOTIJIII C IUlYnDUI nllMllH MilllllJlanHoe
B3I11111OAelofllJle llt8JUlOPOIlOIIIoro nOllJl C UOJIJDUI ~eplDl O)lllOIUIIIIO
no cjJoJlllO bull xBpeneIll3Y0l0II o)llloll KOSOrBlI101 OBRbullbullbull B CJf1UI8
noaOeneBB nltWI Tn ae 08II8Jl KOIIOtWlttB lIXOJIII B ltaJlJlHollml
OHH CBOOO)lllOl YJl8lIIIeHBII nOllJl
K JtOJUlY O-X nlJtOB BWlCiWJOOb ~o Ppound fOUKO aJl8KTPOMarshy
1lIIlHHIl )o TaJalO OIIaOIiQ II CUlgtHliO BaJec~ OopeROshy
CJI K8J[JJOpollOIItIOII BeftOlIJAII nQJlJlloOl BCJI8)CTBHe qero II IIlJlCTB8
B38J111D)1e1OrBy-IIIIJOt Kll8lITOBUX nOJlol Ollpe)16J1J1n1tYl) poftb IUpam
BOOro 1pIl KORCTBKTII OlllllB BRe paYOR 011 CTpollROIl bullbullKOBO
Bol K8pTBHH 007801011 IlOnpoo 0 KBWlTOIlOI TOP rPBBBT81U11l
3ltecamp o1XJ8JtO ncRBlUlWCb 1it CJIlOOtDeIDlO OKP8nu as uocneJtHK8
lOJ1II BIIA_ OBn8lllOl 0 oyn~BpII81 (CtCH)
16
Kax llaoeCTHo CyCIt c_eT MegtIIl 00601 qaC~ c U8JIIIIIJI
B nOJlJ1lemD4lf CIIHK8MB (TOuee - KBaHlOlUIG nOJUl no~eQII
lt10- II gtBJNII-IIpeCftlBOIlOtIIUII COOfBOEBBlIII) UOAOOSO I0Il1 K8lI
rptnmlt lUI11peHHeI OBIIIIB~pIDl I181JlIII8P IlSM0IDII80K0ft OBIIUlUlam
ltPT C JQgtYIOM UCIiWY C OJ[KB8XOllDOl COIBS Jl 6na3lUllO M8QC8MI
O)lllBXD eye n JIBJUIOTClI BlI)lpeRHoB o aPoaA a npe)1CTIUW8T
co6oll ooo6oe p8CIlIIlpelle ClMIeTpHIl COO1BBTCTByuJlel rpynn U--
IUlpe 310 olto6J1leHBe OIIITOe 198 1lt8 7O-x ro)108 npeJ1llOJlllshy
ra paCIDpB 4-oIepeoro DjlOClpBHO 1mult0BCJltoro 10 middotcynapshy
UPOCfpBHOTB8 KOTOpoe H8Jl1lA1 c o6IlIIIIIIIII UPOOTplJllTJBIIID-Ilpeshy
MBHmDCI KOOPJDlH8T8MJI COABJlIllT JlODWlHHTB4bHHO CIIJDIOptW8 8HTIIKOIIIshy
iIlTIPYJJIDe lIeJU1 oo6oil c qpom-llOJllllll 1tOOp1lllHamplW - 1BIt Haa
06paBIDJIjIO 8neOpu IpeCCIIIIH8 ifmleltcOil paaJJBpeHBII cynepcTshy
pHIl DP~ TaI IIIl3IIll6llT ~oe ~IICJ10 IV I8l108 TO IIICJlO CI1lIll0Pshy
HIiX rpacCollBHoJlllX OdPB9)IICBX _ 0 2N bull B Jgt8IIIl cye 1I181l1OIIIIe
UOampJI rpynnJlp)lltCJI no 0PBIIcf8amplle rptnmlt C-C npeoltlpasoJl8l1BI
OOpllBYIl COltnBBTCTBJDIIlB IIJJlIIUOTII coc~bullbullbull 001 pIISJ1lRshy
IDIX CUJlBOB IUIR UeJIJU BIt bull OaJlyIl8J111l[ (aqO - cynepnWJJI)
BoeAcTBl6 8~OPO cCa YOTABAfIBA8T uPOCTHU CBRUB we~
kOHOTaM ll38JIIIO)telcTBIVl HOKOTOpol OOIlylII00Tll 60samp- H gtBpshy
lIII-oOJIoI 06pas-DIIoA cynopnOJI 1k~8110lilUtll CTPYIIT)pu D8POHOPshy
POSOII jlIUIIl CyCw lOO)1e~el 8118 B cepelllJfgt 70-1 lOJIOIl IILIIWIO jlIUl
38MOi8eJlhRIU OOcTORTelhCTB OILaaaJlOCh ITO B l8KIQ MOAIUJa
UCTO OPOIllWlOTCII TOBJellllBll K COKpeu811111l peCltOIDOCTB aw 06I18P1UHIi 1I0)1emJ lBrpBJmIAI B38IDIollelcnaJi TOpIX ltllA1U
npa)1C~8MeHII qOp8B DOJLII OOPBB1JIIIII8 cynojllOJlil IIIIpIIlIIlIITCII C1llshy
Mol OUlOHOII IUllUUltI lIS TOpIX rpe01B lI1I6HBR 080K0Henu KOIlty-
lUI8HOB QIH8xo npB nOJeWDl C1llllll BUllJlOIl lUWHOlO nopllJlKll
110 J OT HOe CllllIfUUAlXampfUp6HDBHll O)UlSwa88TWl IlOCT8TOUBIIl
HeltSoJJtoro uam KOHrPU8HOB He l18pJEWIIIIX 0YIlOPCHMMUT)lUD
17
OcuomISR wacca KQHTJU8UOBpaaeHlDlX lapes lICOOT1ULllRllllBe- cyshy
nelllYTHI1Je~ nOJlJlt ItOMDeH0Ilpy8T APYl APyra lneo~ 0Ita3WJla8TCII
DO~ lIIYDpClBllllgt II]l8BIIJIlI ~1BII8Ba HlmOOpOAO~B8RBO JlIJI
OynBpIOrid Ecn npoBeCTK 0URC8IIHW8 BlUCJ18lW1 no oynepnpanrraM
~_ ~O ltOllllleBOIIY~eCR peOXO1lllraquoDcmI Be B0811l11Q111r 1ClO6ae
loo ~~ _aT SBeOUJ IICOJlIII80K1Jgt 8IaJIOIHD 1I0000e OOSshy
IIIIJWI KOIIIUI ~ 101108 KOB8PIf4IIHOI eopllll BO~ B ItOshy
Cpol HUll bull 8B1III401lllll B BIIpTyamIIIU OOOOIIIWIX OJIJII 061ampshy
JDlHeBil B a_a upooar8OjlII mTUlt806epra - ~1JDmBa OIIoUUOOL
qO CMmen pampCI()lIIJIOCft Co60T1eHHol Bepro 3Jl8JtfpClll4 bull KaJ
nOHIBBA8CL C ~1B01 110 40rap~8cxol
lIaadoJIe M C 4gto01lleOlltol 10 Bp8Bll11 lDWDllCII up8p11
nomoA 1UlIIlJ1ilI08IDIII paogto~1 B 881t010pili CnellDlIMX IIlQJlUIIX
Pen IIJlOT 0 IlD 1oIOIl1WIX pacup8aaol (II gtI) C)Clt 00Il~shyIIIIIX oaO IltampIUI6pClBOIHIl1 n()lll B ItOIOpili BLIIIJIIiI n shy
IIluco B nep8BopllllpClBll1 1lQII0T8BIII 0l1li8amp bull TOlBOCTII kOIIIJelloPJ-
Dr _ OIIIIJIOpiIIIX DoJeI IIIlTIIJIIII Dpil STOW 0ItM 8 tCS ITO
np nDCIBAOMTOOI flBTe CyCa 118 n~ n ex Clampshy
ad T e npJI 1I0001ln10l6JDlI OJUBpiIp8BILl hlJDmBa bull l0lppaA8Ogtshy
ue p8OX~fi npClllUampOpoB bull BOpGHgtltIX ltI1HIltIUlI IlOTOpliB DPII
n OJtQIiIII0H8STJIKI BiAlCteDU OaamplIWBaIJIrml BI8WHO CHONIIBHCHPODEUUWM1t
raquo n epe80JlDPOJ1K8 ~ I ll6 BOIIlDADT 1IOa08
l8uII 06pa_ UCIIfIOBil cepJ88B110 JPI8IIU U DO_OOTlo
C1lOHOMIDIlI IIIc1o1w101O CD CUllUT8IlIIIa 1IOJteu1 IOIltIIIJshy
Hoi DBlItOBOI TeOPU DOampIl bull ~puaI npCl~CT~ cmo-
6oDIa Ot JnTp84aOTOBDl paoxo~l
lJoIOORIlte ~ IoIOrrr JDlIlUCII TeopeT1A801lO1 00801101 T6amp01O
-ug- OOteunVWB ~IM Quel - OJD8~elDUl
up IlOTOpCM B o6IaOfi OOll1OlBO 00amp1[[ lIJIoprd 0GEWltB0IJII8JI
derJIIILIIa sIIIIUDIIU IIOBOTRBTa 0111811 1i n epaollu 6uau 18
T e MeRRT hCg c A8AhUe~ POCTOM 3HeprHH H ORa3WDaBTCH paeshy
HOi3 HeMoOpoA KOHcrrurre d I K01oprut ClOOtlet(ttByel umshy
cNUIte Ctlll9l OrosmteA B AarpaHIJUme B UpaltT1J1l0CKHX RH3JltoaRe~
lO-TJIt[e cJQtX mABOJIOJOUlX J llB4BHMe poundmCCH DOJlHolO 06~eJtK]teHlUl
lllltOIyoae1 B lCjljleKTHBHOro HMDyJILCB 06peaIHI C OqlUl 3pcshy
mt1J TSQOC BllnICJIellHR 13KJ1QD JOtsrpawc co cacpxTJmelllaQl BlPlYMb-
1lJ1MH qOCTHUStm IwpmeHCHpYlJmMH paCXODlIMOCFU JIelfCHX JDJorpor_
MOSHO paCCMaTPlIBaTL IWR cDOco6pa3UYU luntepuarri3~lJrJl mrXOB
fiaYJIH - BKuapoa 11 bull
YAh1JXMIH0JI9TOBWB paCXOlDlJrNgtCTiJ lUjClYIl81JT UP 8lorrd trotlt
napOJRTHUO 34cento It1U I c ootseTCTDyxqae HU 41nute ltMfI a KCKYCCTshy
BemtO D03JWKlmte BCJI9Qc rBB9 aecoBepmeRCTBa TpamlUROHHOro MSTOshy
Ila BCOJOAOllnllllJl pIIsIleJUlDl(ero eJlllwij oynepollMWltpoDlJtli JlarpeHshy
Daamiddot aa HeCHMUeTPlfIlllLB clJsraeMJie KOTOpLl9 He nep80M 3Tane u-cshy
eJlOIlllllHll paCCPHllnIIICR OTIlOJlJolIO AP11 OT JlP11A
YnoltodJUl MlIp aaeMelitBptll(X B3WMOlteilCTmrst LUlCTlUt lS 3JD1UJOU
Base C Wl8BlllOOl ~poltruIH lUIII O 8TYO 6onzmu p8POD II lIIw-Ka- CM9tOBaTWUI - rmrMeD KOrOpWl OfKWlHB8eT 0 1 BB3l KyCOlBK
H YHocn B Jla60JlllTOJllW lIIJl aHaJlBQ lnpe HOKOopoe llpeMfl OR
maal Doe od OroH1OM IIIYOKe R flHielO 0 cOOYJe 11 LtBJ[OM npl(
arrOM 01tJU1Iro KPOMO TpartJflUWlona Jlt160plTOpiUlX CpcoOTll It 060shy
PYAOBBHHR MY nOTpeOOBaAHOb TaKEe Bon sara B 6HHH lIIJl Jleqeshy
HRJI nope30B JUi py lQU 01 OCfPUX KpnCD OCKOJIKQB na3u PacxOMshy
MOCTH I KOUrpueHli peryJUlPH38llID1- B03111lU10 TaJCKe K8 uymw
Jt1Ul noHlIlampUDlll KaprHHW B3antOACIClDHII n llCJlOM t KaK He ftYnu MOshy
DK1lt8MBH1U DJlH BOOJleltoB8JUll1 ueJIolt B83b1
fioCJIBl(OllDlOJlblU1R ytt01 TpaX KDturrOHllX CHfIo1ft-TjllI1l COQfBOIshy
C1BYIllUdl IllC XPOHOJIOIVIeCkOlo) nOJlllJlKY HCnQJh30BllBIDl lIlt)JteT OllTh
npenC1~eH B BIlJlO IlODOJlbllO crpollHoro PfIIln
19
1 IIepexoA OJ lltBIIHoBOI IIOXaKJtICJl R DepeRO~pyelOJR _shy
TOBOR TeOpm DOJIJI ( yln npllJUWUl 1Dl) njllIBQJl K tOtq 110 BBllSH
lIYHlWBORM1gtlI01O npo9BO110 X8pa~DJlIYlO noeJl1DtWIIJlol ijJyrutshy
JSol t WY nanylpoundllm JIJIm 1l000P OpB3BOJ1bHHX DOClOJUIllla - ltOHCfSHr
CM3R
2 yqe D]lIIlUUI8 IKC 0 meJIellBo Ilt8lIlWPOIlOIIUO OMO
D]IIIDOJlIIT P yctBHollJlellllJl eMol ( B npoCTellma CIIJlwtl paBONeB)
~ ROHCTaDT 838JOOJAelcTBItII ASHHOlO 1WllI6pollOIIUl1O nltlJlJi
deg n pD
J Ieno_o nplIHlUIIIB eyea BBOJIa 8IIome OnplUl8JI8ll1Di
1l860pu ooeTOlIIIIe gaR lI3 60 aK 3 4eplOl-DOJlel (eynepshy
tqJUTlWlelll) SIIIDIDAea01BllJI lltOOplll[ ODBeWlSllCJI ollllllODellKol
IltOHOURO eM bullbull bull
liaKoaOD OpeACT8IWIOlCJI BeeWOi eMlJAlWOl neponelmlllS
eI1O aTona
4 liaJIOlIlHle pe60B8IIIB eBDplIllepoHoplOlP1elOJ01II ( nPKHIUIll
CIDl DOHIIIIIIOa 10 YeJlOBBO oayTeTllllll YJIgtTJl84DI~OT08HX paoshy
lroJ1)llllce B 1I01I8lIJD( oollo)ll8UX paClrOAJDS)01II no 4oJlMlJlHIN
n~3HaKaM C~eTQ cTonoHol D~e H ax npoKaBO~ D ~Qrp8HKRQ-
He) DJlI 3aA111HO 9118qemm emma Yl8CtBYUIIIIX lSOTBl1 4aultCllpye
CYDepc_pIIIllYD 1OO1leu nMIlI8I OTO erwl p8BItII)I JtIIY)I DMYshy
SO lIane AOOTII OJtlIOIlH8lHOlO ollJlC8llllS po B31l111OJAelCTBlll 1tB8lIshy
bull 0BlIX 000 B o611B011l )lOCT8tOIII0 BWoo Keprlll
Tew C8IIIDI B09111Oamp8O ns HllIIIIX rJJ83U H8qm8H OcyJleCTlllUftshy
C8 M81fT9 alHll1elJta naee laquolew n0JIYB8KOBOI JUlBHOCft bull bullbull bull MY
XOTD He TOJIlgtIltO HOn 18K y01poell8 OpllPOAB ( II npcllCXOJlllt
trpIlpoJDtHB JmeHU) r 80 bull 00 803MIlampHOOH llOOTW1b ~ llaquo)Se1 6Y1ltl
YlODBlecbullbull ApaROI 18 II1I)I - YBHBU noqetq Il)aPOAB lIIWI8CJI
ftMOHRO lalltOl a He lJJYtol2I bull
20
KaJt YSI OTMIlQaOClgt IICO qeH njllUDlKIlll - 1IlI IIKC eye cmr - no coool DptfponG RBImrOa HltaHMmuat TaR KBY JllR HX
ltIxgt ptqUPOBKl HOo6xo_ lltoro KIJ8HIOBIlt nOHllTlIR
DOIDmIe ltfJa3H 8OJOIoooI ltfJYHKUIII R He33BHellMOeTH OT Hee H86shy
AI11taOMWC BeAMRIi
nOHJIIRO 0 paSJIiltOlllX KB8ltlOBUX ClOTilcmuwx B 0 (1030- H
~JlIIll-l1l4IlX
OOlurroe deg nponcxotlllellltll bull CTPYKTYpc YJJJgtpaqmMOlOBWlt pocshy
XOJDlllaquo)CTeA B IQlaJITOIlOA TCOpllll UOIUI bull 0 II]lIlllllAYpe nepellopltl1polgtshy
til bull
Kwt Mll y6~ltWDCL nOCJI9JlOMlCJI1dIOe lUl[J0JI30BQUlle 3TUI
KBaliTOBW DpIIJillHUOB BBObullbullbull MOOIIYll Jtere_CTHcelYll O1pyn B
up KBWl1OBUX SlMeHB KOlOpwt II OCHOBe cnoel nO)tlHUen CTBTJlCTHshy
qeOKlDt 38SOHOlampePUOCTfDII
JlnepaTYpa
1 IilJlPKOlI I(l SW 1983 H 1063-1072
2 JljpaJ [[AM UpJllUDlJlW ItBlUrroBOI MBXIUlHIOI Iayxa II bullbull I~9
c 4(13 1Jy1I tdl3JIItJI JueprooT0I0III9JIIT M 19I13 0 4G
J tSooft G Phyenalao R~port s 1Q84 1]1 1~_I)~
4 Nnmbu y Ph61 cft Ne~ort8 1994 l2 2)7- 8
5 Gultat50n T Arkl v ( Watb 4strJys 1)46 )A 2 t
Spbullbull B R JllalhlIl7obullbull1968 l bull 1404
6 tJtloort Q VeltallUl)l Nuol Fhyens t 1972 i1 J131
7 CoOoJlo C n ila7c c60plllUt 1936 T ~ c 39
6 Sailwllrll L Tb1 rr Itl8 ltt1Itrlbutlo41IAlnDd Poria 1950
9 SoIWlllOOD lUI nape OC 1957 Ao a _h lZ 227
21
10 Bor0JID60B HB R IIJIpKOB nB BBeJ(eHHe Jl TeoPIJll KBIIJlTOBaHBHX
nonea U3Q3-sBayxa M IIrn6 ~ 113ll4-et Hayxa N 1$4
sectsect 2930 11 Coleman So Weinberg I Phybullbull Royo D 1973 ~ 1888-191 0
12 fiIlp Il Il H Jij) lB 1982 T 35 c 1221
13 Bop U Pbybullbull Rbullbullbull 1935 ~ p 696-702 DopeBOll COl ihlJoo Bop 1l00)lOJlHlie Tp)tll T2 HayRa M bull bull 197I oIB(-I91 Bop U lIa6paH1Dle Tp)tll ~ 2 11ayKa 101 19710526-532
14 Shirkov D V In onlineAl and Turbul ent ProaOS888 in Pb1 shySampgd R Z HampMrood AcadPubl II Y81 cmiddot vol bull bull eI bull
1964 p 16)71 IlAII CCCP 1982 263 c 64-67
15 Bor0JID6oB HR bull mwpKOJl nB bull IlAH OCCP 1955 ~ 103 o al3-al6
16 Biuok~bra EC Peterann A HelyPhTbullbull Aot 1953 y~ p 49~520
17 Gell-aampDn a Lo_ 7 PbJbullbull lev 1954 v~ p 1)00-1)
lS W1180n X aev MOdb7ao 19BJ 22 p 58)-599
19 r OJlloltlgtUUt IlA Ilnu Bn n0l0IIIIl B J)iqI 19I 13 452
20 Parkbullbull A and wbullbull t P bya Let t 1984 v ~ p 99-104
21 31bmTeIJ 1 0 cOIIIUeHHOM OOCTOIIBIIl ~eoP nam - COOp HBrUI TPJIlOB T~ HayJca Yo 1966 c245
PyxOUlC OOCl)1IIWI B H bull lM9JIlocKHll OTlleJI
9 OKI86p~ 1985 rollB
22
bull
W~DK08 aB P2-85-729 KBaHTOB~e np~H~~n~ 80 B3a~MOaeHCT8~~X none~
B80A~TC~ nOH~THe KsaHT080iO np~HUHna KaK npHH~Hna npH OOpM ynHpO BKe KOshy
Topo r o c~ecT8eHHO Hc nOnb3y~Tc~ KBaHTOB~e npeACTaaneHHA H cneUH~H~eCKHe KBaHTOB~e nO~THR Pacc~aTPH8aeTCA ponb Tpex TaKHX n pHHUHnOB
npHHUHna nepeHopHHpyeHocT H HH a4e - KsaHTyeMOC t H - npHHUHna noKanbHoM KanH6poe04HOH cHHHeTpHH - nplo HlI lo1 nA cynepcH_eTp IoH1
B pa3SK TH H K8aHTOBOH TeopHH no~ B CBA3K C nepeWM 1013 3THX npHHUHnoe aHan]H py~ l CR eop-nbHaR CTopoMa CH 3H4eCKOC COAep~HHe npo ue AYPW ncpcHopHHpo eOK 8 KTn ee C8A3 b ~ HanH~HpoundM ynbTpacentHonCTOBWX p aC XOAHHOCTeM H pe HOPMr pynnoH n p HH UH n nepeHOOHHpyeMOcTH OOPMynHPyeMWM KaK rpe60aHHe c~eCTBoeaHHA BHyT shypeHH e HenpoTH Bope wHaOM Ka~TOBO~ epc~~ A~HHO~ ~~eJ~ B3aHHoAe~cTHM non~
oKa3BaeTC~ 3KBHBaneM THhUoI YCI108HO KII3 HTyCHOC TW nH K IIHrOBOC T~I nCUC83aHO ~TO noc~AOaTenbMoe B HCTo~~eCKOH nnaMe kcnonb 308aH~e Tpex KBaHToswx np~I ILllolnOA Dce 60nee orpilM~4H9aeT B03 MOlliHbH AHlfUMo14 eC tue Mex3HH3MbI 83aHMO shyAe~cT8H~ KBaHTOB~X noneK
P~60Ta awnonHeHa B fla60paToDHH Teope TH4e~KOM ~H3HKH OHRH
(JpenpttMT OI5be[lMHVDloro ICC1MTYTa JIIAepx MCcaeao A ilYe 198)
bullnepeaoA a lTopa
Shi rkoy DV P2 -85-729 Quan t um Pri nciples in Field In t e r actions
The concep t of quant um pri nc iple is introduced as a pri nc iple the forshymu lat ion of which is ba sed o n specific qun lu~ Ideas and notions ~e consi shyder t hrae of such princip l ~s
- the princ ip le o f quant izab i lity - t he principl e of local gauge s~etry
- the princ ip le of supersymrnrlry and their role in devel o ptlen t of the quantuo fie l d theory (QFT) Concern ilW the Fi r st o f them we ana lyze forma l aspect s and phy~lca l contents of the rcshyno~ll z4t ion procedure in QFT its relation to ultraviolet dlYergences dnd the renona-grou p The renonmallzabl li ty property formul ated as an eX i stenCe coRd i l ion of self-consistent quantum ve rsi on Wllh a ]iveh mechanl5lll of the f ield interactIon turns OIt to be equivalent to quantizab i lityl t i s ~ howo t holt the consecutlye from a hls torl c~d porflt of v i ew uie of these qtJantuln prlncip l e~ pull ~ tl l l IQrger II~ i t~t i on5 on pOs~ibla fonms of field lnt~shyract lon~
Tht illvnSlif)alion tws ~en performed a t the Labor4llory o f Theoreti cal Phy 5Ir~ JIHA
Prlrdnl or 1-1141 J oi nt Inetitute fo r trucler b rch flubna 1985
OcuomISR wacca KQHTJU8UOBpaaeHlDlX lapes lICOOT1ULllRllllBe- cyshy
nelllYTHI1Je~ nOJlJlt ItOMDeH0Ilpy8T APYl APyra lneo~ 0Ita3WJla8TCII
DO~ lIIYDpClBllllgt II]l8BIIJIlI ~1BII8Ba HlmOOpOAO~B8RBO JlIJI
OynBpIOrid Ecn npoBeCTK 0URC8IIHW8 BlUCJ18lW1 no oynepnpanrraM
~_ ~O ltOllllleBOIIY~eCR peOXO1lllraquoDcmI Be B0811l11Q111r 1ClO6ae
loo ~~ _aT SBeOUJ IICOJlIII80K1Jgt 8IaJIOIHD 1I0000e OOSshy
IIIIJWI KOIIIUI ~ 101108 KOB8PIf4IIHOI eopllll BO~ B ItOshy
Cpol HUll bull 8B1III401lllll B BIIpTyamIIIU OOOOIIIWIX OJIJII 061ampshy
JDlHeBil B a_a upooar8OjlII mTUlt806epra - ~1JDmBa OIIoUUOOL
qO CMmen pampCI()lIIJIOCft Co60T1eHHol Bepro 3Jl8JtfpClll4 bull KaJ
nOHIBBA8CL C ~1B01 110 40rap~8cxol
lIaadoJIe M C 4gto01lleOlltol 10 Bp8Bll11 lDWDllCII up8p11
nomoA 1UlIIlJ1ilI08IDIII paogto~1 B 881t010pili CnellDlIMX IIlQJlUIIX
Pen IIJlOT 0 IlD 1oIOIl1WIX pacup8aaol (II gtI) C)Clt 00Il~shyIIIIIX oaO IltampIUI6pClBOIHIl1 n()lll B ItOIOpili BLIIIJIIiI n shy
IIluco B nep8BopllllpClBll1 1lQII0T8BIII 0l1li8amp bull TOlBOCTII kOIIIJelloPJ-
Dr _ OIIIIJIOpiIIIX DoJeI IIIlTIIJIIII Dpil STOW 0ItM 8 tCS ITO
np nDCIBAOMTOOI flBTe CyCa 118 n~ n ex Clampshy
ad T e npJI 1I0001ln10l6JDlI OJUBpiIp8BILl hlJDmBa bull l0lppaA8Ogtshy
ue p8OX~fi npClllUampOpoB bull BOpGHgtltIX ltI1HIltIUlI IlOTOpliB DPII
n OJtQIiIII0H8STJIKI BiAlCteDU OaamplIWBaIJIrml BI8WHO CHONIIBHCHPODEUUWM1t
raquo n epe80JlDPOJ1K8 ~ I ll6 BOIIlDADT 1IOa08
l8uII 06pa_ UCIIfIOBil cepJ88B110 JPI8IIU U DO_OOTlo
C1lOHOMIDIlI IIIc1o1w101O CD CUllUT8IlIIIa 1IOJteu1 IOIltIIIJshy
Hoi DBlItOBOI TeOPU DOampIl bull ~puaI npCl~CT~ cmo-
6oDIa Ot JnTp84aOTOBDl paoxo~l
lJoIOORIlte ~ IoIOrrr JDlIlUCII TeopeT1A801lO1 00801101 T6amp01O
-ug- OOteunVWB ~IM Quel - OJD8~elDUl
up IlOTOpCM B o6IaOfi OOll1OlBO 00amp1[[ lIJIoprd 0GEWltB0IJII8JI
derJIIILIIa sIIIIUDIIU IIOBOTRBTa 0111811 1i n epaollu 6uau 18
T e MeRRT hCg c A8AhUe~ POCTOM 3HeprHH H ORa3WDaBTCH paeshy
HOi3 HeMoOpoA KOHcrrurre d I K01oprut ClOOtlet(ttByel umshy
cNUIte Ctlll9l OrosmteA B AarpaHIJUme B UpaltT1J1l0CKHX RH3JltoaRe~
lO-TJIt[e cJQtX mABOJIOJOUlX J llB4BHMe poundmCCH DOJlHolO 06~eJtK]teHlUl
lllltOIyoae1 B lCjljleKTHBHOro HMDyJILCB 06peaIHI C OqlUl 3pcshy
mt1J TSQOC BllnICJIellHR 13KJ1QD JOtsrpawc co cacpxTJmelllaQl BlPlYMb-
1lJ1MH qOCTHUStm IwpmeHCHpYlJmMH paCXODlIMOCFU JIelfCHX JDJorpor_
MOSHO paCCMaTPlIBaTL IWR cDOco6pa3UYU luntepuarri3~lJrJl mrXOB
fiaYJIH - BKuapoa 11 bull
YAh1JXMIH0JI9TOBWB paCXOlDlJrNgtCTiJ lUjClYIl81JT UP 8lorrd trotlt
napOJRTHUO 34cento It1U I c ootseTCTDyxqae HU 41nute ltMfI a KCKYCCTshy
BemtO D03JWKlmte BCJI9Qc rBB9 aecoBepmeRCTBa TpamlUROHHOro MSTOshy
Ila BCOJOAOllnllllJl pIIsIleJUlDl(ero eJlllwij oynepollMWltpoDlJtli JlarpeHshy
Daamiddot aa HeCHMUeTPlfIlllLB clJsraeMJie KOTOpLl9 He nep80M 3Tane u-cshy
eJlOIlllllHll paCCPHllnIIICR OTIlOJlJolIO AP11 OT JlP11A
YnoltodJUl MlIp aaeMelitBptll(X B3WMOlteilCTmrst LUlCTlUt lS 3JD1UJOU
Base C Wl8BlllOOl ~poltruIH lUIII O 8TYO 6onzmu p8POD II lIIw-Ka- CM9tOBaTWUI - rmrMeD KOrOpWl OfKWlHB8eT 0 1 BB3l KyCOlBK
H YHocn B Jla60JlllTOJllW lIIJl aHaJlBQ lnpe HOKOopoe llpeMfl OR
maal Doe od OroH1OM IIIYOKe R flHielO 0 cOOYJe 11 LtBJ[OM npl(
arrOM 01tJU1Iro KPOMO TpartJflUWlona Jlt160plTOpiUlX CpcoOTll It 060shy
PYAOBBHHR MY nOTpeOOBaAHOb TaKEe Bon sara B 6HHH lIIJl Jleqeshy
HRJI nope30B JUi py lQU 01 OCfPUX KpnCD OCKOJIKQB na3u PacxOMshy
MOCTH I KOUrpueHli peryJUlPH38llID1- B03111lU10 TaJCKe K8 uymw
Jt1Ul noHlIlampUDlll KaprHHW B3antOACIClDHII n llCJlOM t KaK He ftYnu MOshy
DK1lt8MBH1U DJlH BOOJleltoB8JUll1 ueJIolt B83b1
fioCJIBl(OllDlOJlblU1R ytt01 TpaX KDturrOHllX CHfIo1ft-TjllI1l COQfBOIshy
C1BYIllUdl IllC XPOHOJIOIVIeCkOlo) nOJlllJlKY HCnQJh30BllBIDl lIlt)JteT OllTh
npenC1~eH B BIlJlO IlODOJlbllO crpollHoro PfIIln
19
1 IIepexoA OJ lltBIIHoBOI IIOXaKJtICJl R DepeRO~pyelOJR _shy
TOBOR TeOpm DOJIJI ( yln npllJUWUl 1Dl) njllIBQJl K tOtq 110 BBllSH
lIYHlWBORM1gtlI01O npo9BO110 X8pa~DJlIYlO noeJl1DtWIIJlol ijJyrutshy
JSol t WY nanylpoundllm JIJIm 1l000P OpB3BOJ1bHHX DOClOJUIllla - ltOHCfSHr
CM3R
2 yqe D]lIIlUUI8 IKC 0 meJIellBo Ilt8lIlWPOIlOIIUO OMO
D]IIIDOJlIIT P yctBHollJlellllJl eMol ( B npoCTellma CIIJlwtl paBONeB)
~ ROHCTaDT 838JOOJAelcTBItII ASHHOlO 1WllI6pollOIIUl1O nltlJlJi
deg n pD
J Ieno_o nplIHlUIIIB eyea BBOJIa 8IIome OnplUl8JI8ll1Di
1l860pu ooeTOlIIIIe gaR lI3 60 aK 3 4eplOl-DOJlel (eynepshy
tqJUTlWlelll) SIIIDIDAea01BllJI lltOOplll[ ODBeWlSllCJI ollllllODellKol
IltOHOURO eM bullbull bull
liaKoaOD OpeACT8IWIOlCJI BeeWOi eMlJAlWOl neponelmlllS
eI1O aTona
4 liaJIOlIlHle pe60B8IIIB eBDplIllepoHoplOlP1elOJ01II ( nPKHIUIll
CIDl DOHIIIIIIOa 10 YeJlOBBO oayTeTllllll YJIgtTJl84DI~OT08HX paoshy
lroJ1)llllce B 1I01I8lIJD( oollo)ll8UX paClrOAJDS)01II no 4oJlMlJlHIN
n~3HaKaM C~eTQ cTonoHol D~e H ax npoKaBO~ D ~Qrp8HKRQ-
He) DJlI 3aA111HO 9118qemm emma Yl8CtBYUIIIIX lSOTBl1 4aultCllpye
CYDepc_pIIIllYD 1OO1leu nMIlI8I OTO erwl p8BItII)I JtIIY)I DMYshy
SO lIane AOOTII OJtlIOIlH8lHOlO ollJlC8llllS po B31l111OJAelCTBlll 1tB8lIshy
bull 0BlIX 000 B o611B011l )lOCT8tOIII0 BWoo Keprlll
Tew C8IIIDI B09111Oamp8O ns HllIIIIX rJJ83U H8qm8H OcyJleCTlllUftshy
C8 M81fT9 alHll1elJta naee laquolew n0JIYB8KOBOI JUlBHOCft bull bullbull bull MY
XOTD He TOJIlgtIltO HOn 18K y01poell8 OpllPOAB ( II npcllCXOJlllt
trpIlpoJDtHB JmeHU) r 80 bull 00 803MIlampHOOH llOOTW1b ~ llaquo)Se1 6Y1ltl
YlODBlecbullbull ApaROI 18 II1I)I - YBHBU noqetq Il)aPOAB lIIWI8CJI
ftMOHRO lalltOl a He lJJYtol2I bull
20
KaJt YSI OTMIlQaOClgt IICO qeH njllUDlKIlll - 1IlI IIKC eye cmr - no coool DptfponG RBImrOa HltaHMmuat TaR KBY JllR HX
ltIxgt ptqUPOBKl HOo6xo_ lltoro KIJ8HIOBIlt nOHllTlIR
DOIDmIe ltfJa3H 8OJOIoooI ltfJYHKUIII R He33BHellMOeTH OT Hee H86shy
AI11taOMWC BeAMRIi
nOHJIIRO 0 paSJIiltOlllX KB8ltlOBUX ClOTilcmuwx B 0 (1030- H
~JlIIll-l1l4IlX
OOlurroe deg nponcxotlllellltll bull CTPYKTYpc YJJJgtpaqmMOlOBWlt pocshy
XOJDlllaquo)CTeA B IQlaJITOIlOA TCOpllll UOIUI bull 0 II]lIlllllAYpe nepellopltl1polgtshy
til bull
Kwt Mll y6~ltWDCL nOCJI9JlOMlCJI1dIOe lUl[J0JI30BQUlle 3TUI
KBaliTOBW DpIIJillHUOB BBObullbullbull MOOIIYll Jtere_CTHcelYll O1pyn B
up KBWl1OBUX SlMeHB KOlOpwt II OCHOBe cnoel nO)tlHUen CTBTJlCTHshy
qeOKlDt 38SOHOlampePUOCTfDII
JlnepaTYpa
1 IilJlPKOlI I(l SW 1983 H 1063-1072
2 JljpaJ [[AM UpJllUDlJlW ItBlUrroBOI MBXIUlHIOI Iayxa II bullbull I~9
c 4(13 1Jy1I tdl3JIItJI JueprooT0I0III9JIIT M 19I13 0 4G
J tSooft G Phyenalao R~port s 1Q84 1]1 1~_I)~
4 Nnmbu y Ph61 cft Ne~ort8 1994 l2 2)7- 8
5 Gultat50n T Arkl v ( Watb 4strJys 1)46 )A 2 t
Spbullbull B R JllalhlIl7obullbull1968 l bull 1404
6 tJtloort Q VeltallUl)l Nuol Fhyens t 1972 i1 J131
7 CoOoJlo C n ila7c c60plllUt 1936 T ~ c 39
6 Sailwllrll L Tb1 rr Itl8 ltt1Itrlbutlo41IAlnDd Poria 1950
9 SoIWlllOOD lUI nape OC 1957 Ao a _h lZ 227
21
10 Bor0JID60B HB R IIJIpKOB nB BBeJ(eHHe Jl TeoPIJll KBIIJlTOBaHBHX
nonea U3Q3-sBayxa M IIrn6 ~ 113ll4-et Hayxa N 1$4
sectsect 2930 11 Coleman So Weinberg I Phybullbull Royo D 1973 ~ 1888-191 0
12 fiIlp Il Il H Jij) lB 1982 T 35 c 1221
13 Bop U Pbybullbull Rbullbullbull 1935 ~ p 696-702 DopeBOll COl ihlJoo Bop 1l00)lOJlHlie Tp)tll T2 HayRa M bull bull 197I oIB(-I91 Bop U lIa6paH1Dle Tp)tll ~ 2 11ayKa 101 19710526-532
14 Shirkov D V In onlineAl and Turbul ent ProaOS888 in Pb1 shySampgd R Z HampMrood AcadPubl II Y81 cmiddot vol bull bull eI bull
1964 p 16)71 IlAII CCCP 1982 263 c 64-67
15 Bor0JID6oB HR bull mwpKOJl nB bull IlAH OCCP 1955 ~ 103 o al3-al6
16 Biuok~bra EC Peterann A HelyPhTbullbull Aot 1953 y~ p 49~520
17 Gell-aampDn a Lo_ 7 PbJbullbull lev 1954 v~ p 1)00-1)
lS W1180n X aev MOdb7ao 19BJ 22 p 58)-599
19 r OJlloltlgtUUt IlA Ilnu Bn n0l0IIIIl B J)iqI 19I 13 452
20 Parkbullbull A and wbullbull t P bya Let t 1984 v ~ p 99-104
21 31bmTeIJ 1 0 cOIIIUeHHOM OOCTOIIBIIl ~eoP nam - COOp HBrUI TPJIlOB T~ HayJca Yo 1966 c245
PyxOUlC OOCl)1IIWI B H bull lM9JIlocKHll OTlleJI
9 OKI86p~ 1985 rollB
22
bull
W~DK08 aB P2-85-729 KBaHTOB~e np~H~~n~ 80 B3a~MOaeHCT8~~X none~
B80A~TC~ nOH~THe KsaHT080iO np~HUHna KaK npHH~Hna npH OOpM ynHpO BKe KOshy
Topo r o c~ecT8eHHO Hc nOnb3y~Tc~ KBaHTOB~e npeACTaaneHHA H cneUH~H~eCKHe KBaHTOB~e nO~THR Pacc~aTPH8aeTCA ponb Tpex TaKHX n pHHUHnOB
npHHUHna nepeHopHHpyeHocT H HH a4e - KsaHTyeMOC t H - npHHUHna noKanbHoM KanH6poe04HOH cHHHeTpHH - nplo HlI lo1 nA cynepcH_eTp IoH1
B pa3SK TH H K8aHTOBOH TeopHH no~ B CBA3K C nepeWM 1013 3THX npHHUHnoe aHan]H py~ l CR eop-nbHaR CTopoMa CH 3H4eCKOC COAep~HHe npo ue AYPW ncpcHopHHpo eOK 8 KTn ee C8A3 b ~ HanH~HpoundM ynbTpacentHonCTOBWX p aC XOAHHOCTeM H pe HOPMr pynnoH n p HH UH n nepeHOOHHpyeMOcTH OOPMynHPyeMWM KaK rpe60aHHe c~eCTBoeaHHA BHyT shypeHH e HenpoTH Bope wHaOM Ka~TOBO~ epc~~ A~HHO~ ~~eJ~ B3aHHoAe~cTHM non~
oKa3BaeTC~ 3KBHBaneM THhUoI YCI108HO KII3 HTyCHOC TW nH K IIHrOBOC T~I nCUC83aHO ~TO noc~AOaTenbMoe B HCTo~~eCKOH nnaMe kcnonb 308aH~e Tpex KBaHToswx np~I ILllolnOA Dce 60nee orpilM~4H9aeT B03 MOlliHbH AHlfUMo14 eC tue Mex3HH3MbI 83aHMO shyAe~cT8H~ KBaHTOB~X noneK
P~60Ta awnonHeHa B fla60paToDHH Teope TH4e~KOM ~H3HKH OHRH
(JpenpttMT OI5be[lMHVDloro ICC1MTYTa JIIAepx MCcaeao A ilYe 198)
bullnepeaoA a lTopa
Shi rkoy DV P2 -85-729 Quan t um Pri nciples in Field In t e r actions
The concep t of quant um pri nc iple is introduced as a pri nc iple the forshymu lat ion of which is ba sed o n specific qun lu~ Ideas and notions ~e consi shyder t hrae of such princip l ~s
- the princ ip le o f quant izab i lity - t he principl e of local gauge s~etry
- the princ ip le of supersymrnrlry and their role in devel o ptlen t of the quantuo fie l d theory (QFT) Concern ilW the Fi r st o f them we ana lyze forma l aspect s and phy~lca l contents of the rcshyno~ll z4t ion procedure in QFT its relation to ultraviolet dlYergences dnd the renona-grou p The renonmallzabl li ty property formul ated as an eX i stenCe coRd i l ion of self-consistent quantum ve rsi on Wllh a ]iveh mechanl5lll of the f ield interactIon turns OIt to be equivalent to quantizab i lityl t i s ~ howo t holt the consecutlye from a hls torl c~d porflt of v i ew uie of these qtJantuln prlncip l e~ pull ~ tl l l IQrger II~ i t~t i on5 on pOs~ibla fonms of field lnt~shyract lon~
Tht illvnSlif)alion tws ~en performed a t the Labor4llory o f Theoreti cal Phy 5Ir~ JIHA
Prlrdnl or 1-1141 J oi nt Inetitute fo r trucler b rch flubna 1985
1 IIepexoA OJ lltBIIHoBOI IIOXaKJtICJl R DepeRO~pyelOJR _shy
TOBOR TeOpm DOJIJI ( yln npllJUWUl 1Dl) njllIBQJl K tOtq 110 BBllSH
lIYHlWBORM1gtlI01O npo9BO110 X8pa~DJlIYlO noeJl1DtWIIJlol ijJyrutshy
JSol t WY nanylpoundllm JIJIm 1l000P OpB3BOJ1bHHX DOClOJUIllla - ltOHCfSHr
CM3R
2 yqe D]lIIlUUI8 IKC 0 meJIellBo Ilt8lIlWPOIlOIIUO OMO
D]IIIDOJlIIT P yctBHollJlellllJl eMol ( B npoCTellma CIIJlwtl paBONeB)
~ ROHCTaDT 838JOOJAelcTBItII ASHHOlO 1WllI6pollOIIUl1O nltlJlJi
deg n pD
J Ieno_o nplIHlUIIIB eyea BBOJIa 8IIome OnplUl8JI8ll1Di
1l860pu ooeTOlIIIIe gaR lI3 60 aK 3 4eplOl-DOJlel (eynepshy
tqJUTlWlelll) SIIIDIDAea01BllJI lltOOplll[ ODBeWlSllCJI ollllllODellKol
IltOHOURO eM bullbull bull
liaKoaOD OpeACT8IWIOlCJI BeeWOi eMlJAlWOl neponelmlllS
eI1O aTona
4 liaJIOlIlHle pe60B8IIIB eBDplIllepoHoplOlP1elOJ01II ( nPKHIUIll
CIDl DOHIIIIIIOa 10 YeJlOBBO oayTeTllllll YJIgtTJl84DI~OT08HX paoshy
lroJ1)llllce B 1I01I8lIJD( oollo)ll8UX paClrOAJDS)01II no 4oJlMlJlHIN
n~3HaKaM C~eTQ cTonoHol D~e H ax npoKaBO~ D ~Qrp8HKRQ-
He) DJlI 3aA111HO 9118qemm emma Yl8CtBYUIIIIX lSOTBl1 4aultCllpye
CYDepc_pIIIllYD 1OO1leu nMIlI8I OTO erwl p8BItII)I JtIIY)I DMYshy
SO lIane AOOTII OJtlIOIlH8lHOlO ollJlC8llllS po B31l111OJAelCTBlll 1tB8lIshy
bull 0BlIX 000 B o611B011l )lOCT8tOIII0 BWoo Keprlll
Tew C8IIIDI B09111Oamp8O ns HllIIIIX rJJ83U H8qm8H OcyJleCTlllUftshy
C8 M81fT9 alHll1elJta naee laquolew n0JIYB8KOBOI JUlBHOCft bull bullbull bull MY
XOTD He TOJIlgtIltO HOn 18K y01poell8 OpllPOAB ( II npcllCXOJlllt
trpIlpoJDtHB JmeHU) r 80 bull 00 803MIlampHOOH llOOTW1b ~ llaquo)Se1 6Y1ltl
YlODBlecbullbull ApaROI 18 II1I)I - YBHBU noqetq Il)aPOAB lIIWI8CJI
ftMOHRO lalltOl a He lJJYtol2I bull
20
KaJt YSI OTMIlQaOClgt IICO qeH njllUDlKIlll - 1IlI IIKC eye cmr - no coool DptfponG RBImrOa HltaHMmuat TaR KBY JllR HX
ltIxgt ptqUPOBKl HOo6xo_ lltoro KIJ8HIOBIlt nOHllTlIR
DOIDmIe ltfJa3H 8OJOIoooI ltfJYHKUIII R He33BHellMOeTH OT Hee H86shy
AI11taOMWC BeAMRIi
nOHJIIRO 0 paSJIiltOlllX KB8ltlOBUX ClOTilcmuwx B 0 (1030- H
~JlIIll-l1l4IlX
OOlurroe deg nponcxotlllellltll bull CTPYKTYpc YJJJgtpaqmMOlOBWlt pocshy
XOJDlllaquo)CTeA B IQlaJITOIlOA TCOpllll UOIUI bull 0 II]lIlllllAYpe nepellopltl1polgtshy
til bull
Kwt Mll y6~ltWDCL nOCJI9JlOMlCJI1dIOe lUl[J0JI30BQUlle 3TUI
KBaliTOBW DpIIJillHUOB BBObullbullbull MOOIIYll Jtere_CTHcelYll O1pyn B
up KBWl1OBUX SlMeHB KOlOpwt II OCHOBe cnoel nO)tlHUen CTBTJlCTHshy
qeOKlDt 38SOHOlampePUOCTfDII
JlnepaTYpa
1 IilJlPKOlI I(l SW 1983 H 1063-1072
2 JljpaJ [[AM UpJllUDlJlW ItBlUrroBOI MBXIUlHIOI Iayxa II bullbull I~9
c 4(13 1Jy1I tdl3JIItJI JueprooT0I0III9JIIT M 19I13 0 4G
J tSooft G Phyenalao R~port s 1Q84 1]1 1~_I)~
4 Nnmbu y Ph61 cft Ne~ort8 1994 l2 2)7- 8
5 Gultat50n T Arkl v ( Watb 4strJys 1)46 )A 2 t
Spbullbull B R JllalhlIl7obullbull1968 l bull 1404
6 tJtloort Q VeltallUl)l Nuol Fhyens t 1972 i1 J131
7 CoOoJlo C n ila7c c60plllUt 1936 T ~ c 39
6 Sailwllrll L Tb1 rr Itl8 ltt1Itrlbutlo41IAlnDd Poria 1950
9 SoIWlllOOD lUI nape OC 1957 Ao a _h lZ 227
21
10 Bor0JID60B HB R IIJIpKOB nB BBeJ(eHHe Jl TeoPIJll KBIIJlTOBaHBHX
nonea U3Q3-sBayxa M IIrn6 ~ 113ll4-et Hayxa N 1$4
sectsect 2930 11 Coleman So Weinberg I Phybullbull Royo D 1973 ~ 1888-191 0
12 fiIlp Il Il H Jij) lB 1982 T 35 c 1221
13 Bop U Pbybullbull Rbullbullbull 1935 ~ p 696-702 DopeBOll COl ihlJoo Bop 1l00)lOJlHlie Tp)tll T2 HayRa M bull bull 197I oIB(-I91 Bop U lIa6paH1Dle Tp)tll ~ 2 11ayKa 101 19710526-532
14 Shirkov D V In onlineAl and Turbul ent ProaOS888 in Pb1 shySampgd R Z HampMrood AcadPubl II Y81 cmiddot vol bull bull eI bull
1964 p 16)71 IlAII CCCP 1982 263 c 64-67
15 Bor0JID6oB HR bull mwpKOJl nB bull IlAH OCCP 1955 ~ 103 o al3-al6
16 Biuok~bra EC Peterann A HelyPhTbullbull Aot 1953 y~ p 49~520
17 Gell-aampDn a Lo_ 7 PbJbullbull lev 1954 v~ p 1)00-1)
lS W1180n X aev MOdb7ao 19BJ 22 p 58)-599
19 r OJlloltlgtUUt IlA Ilnu Bn n0l0IIIIl B J)iqI 19I 13 452
20 Parkbullbull A and wbullbull t P bya Let t 1984 v ~ p 99-104
21 31bmTeIJ 1 0 cOIIIUeHHOM OOCTOIIBIIl ~eoP nam - COOp HBrUI TPJIlOB T~ HayJca Yo 1966 c245
PyxOUlC OOCl)1IIWI B H bull lM9JIlocKHll OTlleJI
9 OKI86p~ 1985 rollB
22
bull
W~DK08 aB P2-85-729 KBaHTOB~e np~H~~n~ 80 B3a~MOaeHCT8~~X none~
B80A~TC~ nOH~THe KsaHT080iO np~HUHna KaK npHH~Hna npH OOpM ynHpO BKe KOshy
Topo r o c~ecT8eHHO Hc nOnb3y~Tc~ KBaHTOB~e npeACTaaneHHA H cneUH~H~eCKHe KBaHTOB~e nO~THR Pacc~aTPH8aeTCA ponb Tpex TaKHX n pHHUHnOB
npHHUHna nepeHopHHpyeHocT H HH a4e - KsaHTyeMOC t H - npHHUHna noKanbHoM KanH6poe04HOH cHHHeTpHH - nplo HlI lo1 nA cynepcH_eTp IoH1
B pa3SK TH H K8aHTOBOH TeopHH no~ B CBA3K C nepeWM 1013 3THX npHHUHnoe aHan]H py~ l CR eop-nbHaR CTopoMa CH 3H4eCKOC COAep~HHe npo ue AYPW ncpcHopHHpo eOK 8 KTn ee C8A3 b ~ HanH~HpoundM ynbTpacentHonCTOBWX p aC XOAHHOCTeM H pe HOPMr pynnoH n p HH UH n nepeHOOHHpyeMOcTH OOPMynHPyeMWM KaK rpe60aHHe c~eCTBoeaHHA BHyT shypeHH e HenpoTH Bope wHaOM Ka~TOBO~ epc~~ A~HHO~ ~~eJ~ B3aHHoAe~cTHM non~
oKa3BaeTC~ 3KBHBaneM THhUoI YCI108HO KII3 HTyCHOC TW nH K IIHrOBOC T~I nCUC83aHO ~TO noc~AOaTenbMoe B HCTo~~eCKOH nnaMe kcnonb 308aH~e Tpex KBaHToswx np~I ILllolnOA Dce 60nee orpilM~4H9aeT B03 MOlliHbH AHlfUMo14 eC tue Mex3HH3MbI 83aHMO shyAe~cT8H~ KBaHTOB~X noneK
P~60Ta awnonHeHa B fla60paToDHH Teope TH4e~KOM ~H3HKH OHRH
(JpenpttMT OI5be[lMHVDloro ICC1MTYTa JIIAepx MCcaeao A ilYe 198)
bullnepeaoA a lTopa
Shi rkoy DV P2 -85-729 Quan t um Pri nciples in Field In t e r actions
The concep t of quant um pri nc iple is introduced as a pri nc iple the forshymu lat ion of which is ba sed o n specific qun lu~ Ideas and notions ~e consi shyder t hrae of such princip l ~s
- the princ ip le o f quant izab i lity - t he principl e of local gauge s~etry
- the princ ip le of supersymrnrlry and their role in devel o ptlen t of the quantuo fie l d theory (QFT) Concern ilW the Fi r st o f them we ana lyze forma l aspect s and phy~lca l contents of the rcshyno~ll z4t ion procedure in QFT its relation to ultraviolet dlYergences dnd the renona-grou p The renonmallzabl li ty property formul ated as an eX i stenCe coRd i l ion of self-consistent quantum ve rsi on Wllh a ]iveh mechanl5lll of the f ield interactIon turns OIt to be equivalent to quantizab i lityl t i s ~ howo t holt the consecutlye from a hls torl c~d porflt of v i ew uie of these qtJantuln prlncip l e~ pull ~ tl l l IQrger II~ i t~t i on5 on pOs~ibla fonms of field lnt~shyract lon~
Tht illvnSlif)alion tws ~en performed a t the Labor4llory o f Theoreti cal Phy 5Ir~ JIHA
Prlrdnl or 1-1141 J oi nt Inetitute fo r trucler b rch flubna 1985
10 Bor0JID60B HB R IIJIpKOB nB BBeJ(eHHe Jl TeoPIJll KBIIJlTOBaHBHX
nonea U3Q3-sBayxa M IIrn6 ~ 113ll4-et Hayxa N 1$4
sectsect 2930 11 Coleman So Weinberg I Phybullbull Royo D 1973 ~ 1888-191 0
12 fiIlp Il Il H Jij) lB 1982 T 35 c 1221
13 Bop U Pbybullbull Rbullbullbull 1935 ~ p 696-702 DopeBOll COl ihlJoo Bop 1l00)lOJlHlie Tp)tll T2 HayRa M bull bull 197I oIB(-I91 Bop U lIa6paH1Dle Tp)tll ~ 2 11ayKa 101 19710526-532
14 Shirkov D V In onlineAl and Turbul ent ProaOS888 in Pb1 shySampgd R Z HampMrood AcadPubl II Y81 cmiddot vol bull bull eI bull
1964 p 16)71 IlAII CCCP 1982 263 c 64-67
15 Bor0JID6oB HR bull mwpKOJl nB bull IlAH OCCP 1955 ~ 103 o al3-al6
16 Biuok~bra EC Peterann A HelyPhTbullbull Aot 1953 y~ p 49~520
17 Gell-aampDn a Lo_ 7 PbJbullbull lev 1954 v~ p 1)00-1)
lS W1180n X aev MOdb7ao 19BJ 22 p 58)-599
19 r OJlloltlgtUUt IlA Ilnu Bn n0l0IIIIl B J)iqI 19I 13 452
20 Parkbullbull A and wbullbull t P bya Let t 1984 v ~ p 99-104
21 31bmTeIJ 1 0 cOIIIUeHHOM OOCTOIIBIIl ~eoP nam - COOp HBrUI TPJIlOB T~ HayJca Yo 1966 c245
PyxOUlC OOCl)1IIWI B H bull lM9JIlocKHll OTlleJI
9 OKI86p~ 1985 rollB
22
bull
W~DK08 aB P2-85-729 KBaHTOB~e np~H~~n~ 80 B3a~MOaeHCT8~~X none~
B80A~TC~ nOH~THe KsaHT080iO np~HUHna KaK npHH~Hna npH OOpM ynHpO BKe KOshy
Topo r o c~ecT8eHHO Hc nOnb3y~Tc~ KBaHTOB~e npeACTaaneHHA H cneUH~H~eCKHe KBaHTOB~e nO~THR Pacc~aTPH8aeTCA ponb Tpex TaKHX n pHHUHnOB
npHHUHna nepeHopHHpyeHocT H HH a4e - KsaHTyeMOC t H - npHHUHna noKanbHoM KanH6poe04HOH cHHHeTpHH - nplo HlI lo1 nA cynepcH_eTp IoH1
B pa3SK TH H K8aHTOBOH TeopHH no~ B CBA3K C nepeWM 1013 3THX npHHUHnoe aHan]H py~ l CR eop-nbHaR CTopoMa CH 3H4eCKOC COAep~HHe npo ue AYPW ncpcHopHHpo eOK 8 KTn ee C8A3 b ~ HanH~HpoundM ynbTpacentHonCTOBWX p aC XOAHHOCTeM H pe HOPMr pynnoH n p HH UH n nepeHOOHHpyeMOcTH OOPMynHPyeMWM KaK rpe60aHHe c~eCTBoeaHHA BHyT shypeHH e HenpoTH Bope wHaOM Ka~TOBO~ epc~~ A~HHO~ ~~eJ~ B3aHHoAe~cTHM non~
oKa3BaeTC~ 3KBHBaneM THhUoI YCI108HO KII3 HTyCHOC TW nH K IIHrOBOC T~I nCUC83aHO ~TO noc~AOaTenbMoe B HCTo~~eCKOH nnaMe kcnonb 308aH~e Tpex KBaHToswx np~I ILllolnOA Dce 60nee orpilM~4H9aeT B03 MOlliHbH AHlfUMo14 eC tue Mex3HH3MbI 83aHMO shyAe~cT8H~ KBaHTOB~X noneK
P~60Ta awnonHeHa B fla60paToDHH Teope TH4e~KOM ~H3HKH OHRH
(JpenpttMT OI5be[lMHVDloro ICC1MTYTa JIIAepx MCcaeao A ilYe 198)
bullnepeaoA a lTopa
Shi rkoy DV P2 -85-729 Quan t um Pri nciples in Field In t e r actions
The concep t of quant um pri nc iple is introduced as a pri nc iple the forshymu lat ion of which is ba sed o n specific qun lu~ Ideas and notions ~e consi shyder t hrae of such princip l ~s
- the princ ip le o f quant izab i lity - t he principl e of local gauge s~etry
- the princ ip le of supersymrnrlry and their role in devel o ptlen t of the quantuo fie l d theory (QFT) Concern ilW the Fi r st o f them we ana lyze forma l aspect s and phy~lca l contents of the rcshyno~ll z4t ion procedure in QFT its relation to ultraviolet dlYergences dnd the renona-grou p The renonmallzabl li ty property formul ated as an eX i stenCe coRd i l ion of self-consistent quantum ve rsi on Wllh a ]iveh mechanl5lll of the f ield interactIon turns OIt to be equivalent to quantizab i lityl t i s ~ howo t holt the consecutlye from a hls torl c~d porflt of v i ew uie of these qtJantuln prlncip l e~ pull ~ tl l l IQrger II~ i t~t i on5 on pOs~ibla fonms of field lnt~shyract lon~
Tht illvnSlif)alion tws ~en performed a t the Labor4llory o f Theoreti cal Phy 5Ir~ JIHA
Prlrdnl or 1-1141 J oi nt Inetitute fo r trucler b rch flubna 1985
Recommended