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1、PathIntegralsinPhysicsVolumeIIQuantumFieldTheory,StatisticalPhysicsandotherModernApplicationsPathIntegralsinPhysicsVolumeIIQuantumFieldTheory,StatisticalPhysicsandotherModernApplicationsMChaichianDepartmentofPhysics,UniversityofHelsinkiandHelsinkiInstituteof
2、Physics,FinlandandADemichevInstituteofNuclearPhysics,MoscowStateUniversity,RussiaInstituteofPhysicsPublishingBristolandPhiladelphiacIOPPublishingLtd2001Allrightsreserved.Nopartofthispublicationmaybereproduced,storedinaretrievalsystemortransmittedinanyformor
3、byanymeans,electronic,mechanical,photocopying,recordingorotherwise,withoutthepriorpermissionofthepublisher.MultiplecopyingispermittedinaccordancewiththetermsoflicencesissuedbytheCopyrightLicensingAgencyunderthetermsofitsagreementwiththeCommitteeofVice-Chance
4、llorsandPrincipals.BritishLibraryCataloguing-in-PublicationDataAcataloguerecordforthisbookisavailablefromtheBritishLibrary.ISBN075030801X(Vol.I)0750308028(Vol.II)0750307137(2Vol.set)LibraryofCongressCataloging-in-PublicationDataareavailableCommissioningEdito
5、r:JamesRevillProductionEditor:SimonLaurensonProductionControl:SarahPlentyCoverDesign:VictoriaLeBillonMarketingExecutive:ColinFentonPublishedbyInstituteofPhysicsPublishing,whollyownedbyTheInstituteofPhysics,LondonInstituteofPhysicsPublishing,DiracHouse,Temple
6、Back,BristolBS16BE,UKUSOffice:InstituteofPhysicsPublishing,ThePublicLedgerBuilding,Suite1035,150SouthIndependenceMallWest,Philadelphia,PA19106,USATypesetinTEXusingtheIOPBookmakerMacrosPrintedintheUKbyBookcraft,MidsomerNorton,BathContentsPrefacetovolumeIIix3Qu
7、antumfieldtheory:thepath-integralapproach13.1Path-integralformulationofthesimplestquantumfieldtheories23.1.1Systemswithaninfinitenumberofdegreesoffreedomandquantumfieldtheory23.1.2Path-integralrepresentationfortransitionamplitudesinquantumfieldtheories143.1.3Spin
8、orfields:quantizationviapathintegralsoverGrassmannvariables213.1.4Perturbationexpansioninquantumfieldtheoryinthepath-integralapproach223.1.5GeneratingfunctionalsforGreenfunctionsandanintroductiont
