| PREFACENotations and ConventionsChapter 1The Klein-Gordon Field1.1Introduction1.2The Klein-Gordon Equation1.3Elements of Classical Field Theory1.3.1Lagrangian Field Theory1.3.2Hamiltonian Field Theory1.3.3Noether's Theorem1.4The Canonical Quantization of the Scalar Field1.5The Klein-Gordon Field in Space-Time1.5.1Causality1.5.2The Klein-Gordon PropagatorChapter 2The Dirac Field2.1The Dirac Equation2.1.1The Dirac Equation2.1.2Weyl Spinor2.2Free-Particle Solutions of the Dirac Equation2.2.1Plane-Wave Solution2.2.2Spin Sum2.3Dirac Matrices and Dirac Field Bilinears2.4Quantization of the Dirac Field2.4.1Canonical Quantization of the Dirac Field2.4.2The Dirac Propagator2.5Discrete Symmetries of the Dirac Theory(CPT)2.5.1Parity2.5.2Time Reversal2.5.3Charge ConjugationChapter 3 The Electromagnetic Field3.1The Maxwell Equations3.2Local Gauge Symmetry3.3Quantization of the Electromagnetic Field inCoulomb Gauge3.4Quantization of the Electromagnetic Field inCovariant GaugeChapter 4Perturbation Theory4.1Perturbation Theory4.2S-Matrix4.2.1Time-Evolution Operator4.2.2S-Matrix4.3Wick Theorem4.4Feynman Diagrams (44 Theory)4.5Feynman Rules for Quantum Electrodynamics4.5.1The First-order Process4.5.2The Second-order Process4.5.3Various Physical Processes4.5.4Self-Energy4.6Feynman Rules in Momentum Space4.6.1Feynman Diagrams in Momentum Space4.6.2Compton Scattering in Momentum Space4.6.3Feynman Rules in Momentum SpaceChapter 5Elementary Processes of QuantumElectrodynamics5.1The Cross Section5.2Sum of Polarization States5.2.1Spin Sum5.2.2Polarization Sum5.3e - e + --~/.t -/x + Process5.4Bhahha Scattering5.5Compton Scattering5.6Scattering by an External FieldChapter 6Radiative Corrections6.1Radiative Corrections6.2Regnlarization6.3RenormalizationChapter 7Functional Method7.1Path Integrals in Quantum Mechanics7.2Functional Quantization of the Scalar Fields7.3Functional Quantization of the Electromagnetic Fields... 7.4Functional Quantization of the Spinor FieldsReferencesIndex |
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