quantum field theory - r. clarkson, d. mckeon

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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.....................................28

3、2.2PoissonBracket..................................302.3Quantizationofthespinningparticle.......................322.4GeneralSolutiontothefreeDiracEquation..................502.5ChargeConjugation................................562.6MajoranaSpinors...................

4、..............572.7TimeReversal...................................583Bargmann-WignerEquations614GaugeSymmetryandmasslessspinoneparticles714.1CanonicalHamiltonianDensity.........................745(2nd)Quantization,SpinandStatistics835.1HarmonicOscillator...........

5、.....................835.2FeynmanPropagator...............................885.3QuantizingtheDiracField............................926InteractingFields976.1GaugeInteraction.................................976.2HeisenbergPictureofQ.M............................986.3W

6、ick'sTheorem..................................1027Electron-PositronScattering10534CONTENTS8LoopDiagrams1098.1FeynmanRulesinMomentumSpace......................1098.2CombinatoricFactors...............................1138.3CrossSectionsFromMatrixelements..............

7、........1158.4Higherordercorrections.............................1198.5Renormalization..................................1228.6Regularization...................................1238.7Noether'sTheorem................................1319PathIntegralQuantization1419.1He

8、isenberg-Dirac.................................1419.2WaveFunctions..................................1429.3FreeParticle...........................