规范场论(Warren Siegel).pdf

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1、FIELDSWarrenSiegelC.N.YangInstituteforTheoreticalPhysicsStateUniversityofNewYorkatStonyBrookStonyBrook,NewYork11794-3840USAarXiv:hep-th/9912205v219Sep2002mailto:siegel@insti.physics.sunysb.eduhttp://insti.physics.sunysb.edu/˜siegel/plan.html2CONTENTSPreface..

2、...........................23Somefieldtheorytexts...........35......................................................PARTONE:SYMMETRY..................I.GlobalIII.LocalA.CoordinatesA.Actions1.Nonrelativity.............391.General.................1592.Fermions..

3、...............442.Fermions................1643.Liealgebra...............483.Fields...................1664.Relativity................524.Relativity...............1695.Discrete:C,P,T.........585.Constrainedsystems....1746.Conformal...............61B.ParticlesB

4、.Indices1.Free....................1791.Matrices.................662.Gauges.................1832.Representations..........693.Coupling................1843.Determinants............744.Conservation............1854.Classicalgroups..........775.Paircreation.......

5、.....1885.Tensornotation..........79C.Yang-MillsC.Representations1.Nonabelian..............1911.Morecoordinates.........842.Lightcone...............1952.Coordinatetensors.......863.Planewaves.............1993.Youngtableaux..........914.Self-duality...........

6、..2004.Colorandflavor..........935.Twistors................2045.Coveringgroups..........986.Instantons..............2077.ADHM.................211II.Spin8.Monopoles..............213A.Twocomponents1.3-vectors................102IV.Mixed2.Rotations...............1

7、05A.Hiddensymmetry3.Spinors.................1071.Spontaneousbreakdown.2194.Indices..................1092.Sigmamodels...........2215.Lorentz.................1113.Cosetspace.............2246.Dirac...................1184.Chiralsymmetry........2277.Chirality/dual

8、ity........1205.St¨uckelberg.............230B.Poincar´e6.Higgs...................2321.Fieldequations..........123B.Standardmodel2.Examples...............1261.Chromodynamics........2353.So