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1、PreprinttypesetinJHEPstyle-HYPERVERSIONMichaelmasTerm,2006and2007QuantumFieldTheoryUniversityofCambridgePartIIIMathematicalTriposDrDavidTongDepartmentofAppliedMathematicsandTheoreticalPhysics,CentreforMathematicalSciences,WilberforceRoad,Cambridge,CB3OWA,UKhttp://www.damtp.cam.ac.uk/u
2、ser/tong/qft.htmld.tong@damtp.cam.ac.uk{1{RecommendedBooksandResourcesM.PeskinandD.Schroeder,AnIntroductiontoQuantumFieldTheoryThisisaveryclearandcomprehensivebook,coveringeverythinginthiscourseattherightlevel.ItwillalsocovereverythingintheAdvancedQuantumFieldTheory"course,muchofthe
3、StandardModel"course,andwillserveyouwellifyougoontodoresearch.Toalargeextent,ourcoursewillfollowthe rstsectionofthisbook.ThereisavastarrayoffurtherQuantumFieldTheorytexts,manyofthemwithredeemingfeatures.HereImentionafewverydi erentones.S.Weinberg,TheQuantumTheoryofFields,Vol1Thisist
4、he rstinathreevolumeseriesbyoneofthemastersofquantum eldtheory.Ittakesauniqueroutetothroughthesubject,focussinginitiallyonparticlesratherthan elds.ThesecondvolumecoversmateriallecturedinAQFT".L.Ryder,QuantumFieldTheoryThiselementarytexthasanicediscussionofmuchofthematerialinthiscour
5、se.A.Zee,QuantumFieldTheoryinaNutshellThisischarmingbook,whereemphasisisplacedonphysicalunderstandingandtheauthorisn'tafraidtohidetheuglytruthwhennecessary.Itcontainsmanygems.MSrednicki,QuantumFieldTheoryAveryclearandwellwrittenintroductiontothesubject.BoththisbookandZee'sfocusonthe
6、pathintegralapproach,ratherthancanonicalquantizationthatwedevelopinthiscourse.Therearealsoresourcesavailableontheweb.Someparticularlygoodonesarelistedonthecoursewebpage:http://www.damtp.cam.ac.uk/user/tong/qft.htmlContents0.Introduction10.1UnitsandScales41.ClassicalFieldTheory71.1TheD
7、ynamicsofFields71.1.1AnExample:TheKlein-GordonEquation81.1.2AnotherExample:FirstOrderLagrangians91.1.3AFinalExample:Maxwell'sEquations101.1.4Locality,Locality,Locality101.2LorentzInvariance111.3Symmetries131.3.1Noether'sTheorem131.3.2AnExample:TranslationsandtheEnergy-MomentumTensor14
8、1.3.3
