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.....................

3、................282.2PoissonBracket..................................302.3Quantizationofthespinningparticle.......................322.4GeneralSolutiontothefreeDiracEquation..................502.5ChargeConjugation................................562.6Majoran

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

5、cs835.1HarmonicOscillator................................835.2FeynmanPropagator...............................885.3QuantizingtheDiracField............................926InteractingFields976.1GaugeInteraction.................................976.2HeisenbergP

6、ictureofQ.M............................986.3Wick'sTheorem..................................1027Electron-PositronScattering10534CONTENTS8LoopDiagrams1098.1FeynmanRulesinMomentumSpace......................1098.2CombinatoricFactors............................

7、...1138.3CrossSectionsFromMatrixelements......................1158.4Higherordercorrections.............................1198.5Renormalization..................................1228.6Regularization...................................1238.7Noether'sTheorem.....

8、...........................1319PathIntegralQuantization1419.1Heisenberg-Dirac.................................1419.2WaveFunctions..................................1429.3FreeParticle...........................