dreiner_-_supersymmetry_2004_272

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1、SupersymmetryHerbiK.DreinerHowardE.HaberStephenP.MartinSeptember22,2004ContentsPart1:FermionsinQuantumFieldTheoryandtheStandardModel71Two-componentformalismforSpin-1/2Fermions91.1TheLorentzgroupanditsLiealgebra91.2ThePoincar´egroupanditsLiealgebra121.3Spin-1/2representationoftheL

2、orentzgroup141.4Bilinearcovariantsoftwo-componentspinors171.5Lagrangiansforfreespin-1/2fermions231.6Thefermionmass-matrixanditsdiagonalization261.7Discretespacetimeandinternalsymmetries291.8Paritytransformationoftwo-componentspinors321.9Time-reversaltransformationoftwo-components

3、pinors361.10Chargeconjugationoftwo-componentspinors401.11CPandCPTconjugationoftwo-componentspinors41References482FeynmanRulesforFermions492.1Fermioncreationandannihilationoperators492.2Propertiesofthetwo-componentspinorwavefunctions502.3Chargedtwo-componentfermionfields542.4Feynma

4、nrulesforexternaltwo-componentfermionlines562.5Feynmanrulesfortwo-componentfermionpropagators572.6Feynmanrulesfortwo-componentfermioninteractions612.7GeneralstructureandrulesforFeynmangraphs652.8SimpleexamplesofFeynmandiagramsandamplitudes672.8.1Tree-leveldecays672.8.2Tree-levels

5、catteringprocesses692Contents32.9Conventionsforfermionandanti-fermionnamesandfields763FromTwo-ComponenttoFour-ComponentSpinors833.1Four-componentspinors843.2Lagrangiansforfreefour-componentfermions913.3Propertiesofthefour-componentspinorwavefunctions923.4Feynmanrulesforfour-compon

6、entMajoranafermions943.5SimpleexamplesofFeynmandiagramsrevisited99References1064GaugeTheoriesandtheStandardModel1074.1AbelianGaugefieldtheory1074.2Non-abeliangaugegroupsandtheirLiealgebras1094.3Non-abeliangaugefieldtheory1124.4FeynmanrulesforGaugetheories1164.5Spontaneouslybrokenga

7、ugetheories1194.5.1Goldstone’stheorem1194.5.2Massivegaugebosons1204.5.3TheunitaryandRξgauges1234.5.4ThephysicalHiggsbosons1254.6Complexrepresentationsofscalarfields1274.7TheStandardModelofparticlephysics1274.8ParametercountoftheStandardModel1274.9GrandUnificationandRunningCouplings

8、128Part2:ConstructingSupersymmetricTheor