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1、GraduateTextsinContemporaryPhysicsSeriesEditors:R.StephenBerryJosephL.BirmanMarkP.SilvermanH.EugeneStanleyMikhailVoloshinV.ParameswaranNairQuantumFieldTheoryAModernPerspectiveWith100IllustrationsV.ParameswaranNairPhysicsDepartmentCityCollegethConventAvenue&138StreetNewYork,NY10031USASeriesEdi
2、torsR.StephenBerryJosephL.BirmanMarkP.SilvermanDepartmentofChemistryDepartmentofPhysicsDepartmentofPhysicsUniversityofChicagoCityCollegeofCUNYTrinityCollegeChicago,IL60637NewYork,NY10031Hartford,CT06106USAUSAUSAH.EugeneStanleyMikhailVoloshinCenterforPolymerStudiesTheoreticalPhysicsInstitutePh
3、ysicsDepartmentTateLaboratoryofPhysicsBostonUniversityTheUniversityofMinnesotaBoston,MA02215Minneapolis,MN55455USAUSAOnthecover:Thepinchingcontributiontotheinteractionbetweenfermions.Seepage213fordiscussion.LibraryofCongressCataloging-in-PublicationDataNair,V.P.Topicsinquantumfieldtheory/V.P.
4、Nair.p.cm.Includesbibliographicalreferencesandindex.ISBN0-387-21386-4(alk.paper)1.Quantumfieldtheory.I.Title.QC174.45.N322004530.14′3—dc222004049910ISBN0-387-21386-4Printedonacid-freepaper.©2005SpringerScience+BusinessMedia,Inc.Allrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpa
5、rtwithoutthewrittenpermissionofthepublisher(SpringerScience+BusinessMedia,Inc.,233SpringStreet,NewYork,NY10013,USA),exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnec-tionwithanyformofinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarord
6、issimilarmethodologynowknownorhereafterdevelopedisforbidden.Theuseinthispublicationoftradenames,trademarks,servicemarks,andsimilarterms,eveniftheyarenotidentifiedassuch,isnottobetakenasanexpressionofopinionastowhetherornottheyaresubjecttoproprietaryrights.PrintedintheUnitedStatesofAmerica.(MV
7、Y)987654321SPIN10955741springeronline.comTothememoryofmyparentsVelayudhanandGowrikuttyNairPrefaceQuantumfieldtheory,whichstartedwithDirac’sworkshortlyafterthedis-coveryofquantummechanics,hasproducedanimpressiveandimportantarrayofresults.Quantu