quantum field theory r clarkson

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1、QuantumFieldTheory1R.ClarksonDr.D.G.C.McKeon2January13,20031NotestakenbyR.ClarksonforDr.McKeon'sFieldTheory(PartsIandII)Class.2email:dgmckeo2@uwo.ca2Contents1ConstraintFormalism71.1PrincipleofLeastaction:.............................71.2Hamilton'sEquations......................

2、.........81.3PoissonBrackets.................................91.4Dirac'sTheoryofConstraints..........................111.5Quantizingasystemwithconstraints......................242GrassmannVariables272.1Integration.....................................282.2PoissonBracket.........

3、.........................302.3Quantizationofthespinningparticle.......................322.4GeneralSolutiontothefreeDiracEquation..................502.5ChargeConjugation................................562.6MajoranaSpinors.................................572.7TimeReversal........

4、...........................583Bargmann-WignerEquations614GaugeSymmetryandmasslessspinoneparticles714.1CanonicalHamiltonianDensity.........................745(2nd)Quantization,SpinandStatistics835.1HarmonicOscillator................................835.2FeynmanPropagator.........

5、......................885.3QuantizingtheDiracField............................926InteractingFields976.1GaugeInteraction.................................976.2HeisenbergPictureofQ.M............................986.3Wick'sTheorem..................................1027Electron-Positr

6、onScattering10534CONTENTS8LoopDiagrams1098.1FeynmanRulesinMomentumSpace......................1098.2CombinatoricFactors...............................1138.3CrossSectionsFromMatrixelements......................1158.4Higherordercorrections.............................1198.5Renorma

7、lization..................................1228.6Regularization...................................1238.7Noether'sTheorem................................1319PathIntegralQuantization1419.1Heisenberg-Dirac.................................1419.2WaveFunctions.........................

8、.........1429.3FreeParticle...........................