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1、QuantumFieldTheoryIII:GaugeTheoryEberhardZeidlerQuantumFieldTheoryIII:GaugeTheoryABridgebetweenMathematiciansandPhysicistsEberhardZeidlerMaxPlanckInstituteforMathematicsintheSciencesInselstr.22-2604103LeipzigGermanyISBN978-3-642-22420-1e-ISBN978-3-642-22421-8DOI10.1007/978-3-642-22421-8SpringerHei
2、delbergDordrechtLondonNewYorkLibraryofCongressControlNumber:2006929535MathematicsSubjectClassification(2010):35-XX,47-XX,49-XX,51-XX,55-XX,81-XX,82-XX©Springer-VerlagBerlinHeidelberg2011Thisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallytherig
3、htsoftranslation,reprinting,reuseofillustrations,recitation,broadcasting,reproductiononmicrofilmorinanyotherway,andstorageindatabanks.DuplicationofthispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustalways
4、beobtainedfromSpringer.ViolationsareliabletoprosecutionundertheGermanCopyrightLaw.Theuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantprotectivelawsandregulationsandthereforefreeforgen
5、eraluse.Coverdesign:deblik,BerlinPrintedonacid-freepaperSpringerispartofSpringerScience+BusinessMedia(www.springer.com)TOKRZYSZTOFMAURININGRATITUDEPrefaceSeinGeistdrangindietiefstenGeheimnissederZahl,desRaumesundderNatur;ermaßdenLaufderGestirne,dieGestaltunddieKr¨aftederErde;dieEntwicklungdermathe
6、matischenWissenschafteineskommenden1Jahrhundertstrugerinsich.LinesundertheportraitofCarlFriedrichGauss(1777–1855)intheGermanMuseuminMunichForceequalscurvature.ThebasicprincipleofmodernphysicsAtheoryisthemoreimpressive,thesimplerareitspremises,themoredistinctarethethingsitconnects,andthebroaderisth
7、erangeofappli-cability.AlbertEinstein(1879–1955)Textbooksshouldbeattractivebyshowingthebeautyofthesubject.JohannWolfgangvonGoethe(1749–1832)Thepresentbookisthethirdvolumeofacomprehensiveintroductiontothemath-emat