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1、QuantumFieldTheoryI:BasicsinMathematicsandPhysicsEberhardZeidlerQuantumFieldTheoryI:BasicsinMathematicsandPhysicsABridgebetweenMathematiciansandPhysicistsWith94Figuresand19Tables123EberhardZeidlerMaxPlanckInstituteforMathematicsintheSciencesInselstrasse2204103LeipzigGermanye-mail:ezeidler@mis.mpg
2、.deLibraryofCongressControlNumber:2006929535MathematicsSubjectClassification(2000):35Qxx,58-xx,81Txx,82-xx,83CxxISBN-103-540-34762-3SpringerBerlinHeidelbergNewYorkISBN-13978-3-540-34762-0SpringerBerlinHeidelbergNewYorkThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthemate
3、rialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation,broadcasting,reproductiononmicrofilmorinanyotherway,andstorageindatabanks.DuplicationofthispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentver
4、sion,andpermissionforusemustalwaysbeobtainedfromSpringer.ViolationsareliableforprosecutionundertheGermanCopyrightLaw.SpringerisapartofSpringerScience+BusinessMediaspringer.com©Springer-VerlagBerlinHeidelberg2006PrintedinGermanyTheuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthisp
5、ublicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantprotectivelawsandregulationsandthereforefreeforgeneraluse.Typesetting:bytheauthorusingaSpringerLATEXmacropackageProduction:LE-TEXJelonek,Schmidt&VöcklerGbR,LeipzigCoverdesign:ErichKirchner,HeidelbergPr
6、intedonacid-freepaper46/3100/YL543210TOTHEMEMORYOFJURGENMOSER¨(1928–1999)Preface1Daßicherkenne,wasdieWeltimInnerstenzusammenh¨alt.FaustConceptswithoutintuitionareempty,intuitionwithoutconceptsisblind.ImmanuelKant(1724–1804)ThegreatestmathematicianslikeArchimedes,Newton,andGausshavealwaysbeenablet
7、ocombinetheoryandapplicationsintoone.FelixKlein(1849–1925)Thepresentcomprehensiveintroductiontothemathematicalandphysicalaspectsofquantumfieldtheoryconsistsofthefollowingsixvolumes:VolumeI:BasicsinMathematicsandPhysicsV