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| Dedication | |
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| Preface | |
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| Photons and the Electromagnetic Field | |
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| Particles and Fields | |
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| The Electromagnetic Field in the Absence of Charges | |
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| The Electric Dipole Interaction | |
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| The Electromagnetic Field in the Presence of Charges | |
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| Appendix: The Schr�dinger, Heisenberg and Interaction Pictures | |
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| Problems | |
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| Lagrangian Field Theory | |
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| Relativistic Notation | |
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| Classical Lagrangian Field Theory | |
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| Quantized Lagrangian Field Theory | |
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| Symmetries and Conservation Laws | |
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| Problems | |
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| The KleinGordon field | |
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| The Real KleinGordon Field | |
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| The Complex KleinGordon Field | |
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| Covariant Commutation Relations | |
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| The Meson Propagator | |
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| Problems | |
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| The Dirac Field | |
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| The Number Representation for Fermions | |
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| The Dirac Equation | |
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| Second Quantization | |
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| The Fermion Propagator | |
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| The Electromagnetic Interaction and Gauge Invariance | |
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| Problems | |
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| Photons: Covariant Theory | |
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| The Classical Fields | |
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| Covariant Quantization | |
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| The Photon Propagator | |
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| Problems | |
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| The S-Matrix Expansion | |
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| Natural Dimensions and Units | |
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| The S-Matrix Expansion | |
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| Wic's Theorem | |
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| Feynman Diagrams and Rules in QED | |
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| Feynman Diagrams in Configuration Space | |
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| Feynman Diagrams in Momentum Space | |
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| Feynman Rules for QED | |
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| Leptons | |
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| Problems | |
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| QED Processes in Lowest Order | |
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| The Cross-Section | |
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| Spin Sums | |
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| Photon Polarization Sums | |
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| Lepton Pair Production in (e�e_) Collisions | |
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| Bhabha Scattering | |
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| Compton Scattering | |
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| Scattering by an External Field | |
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| Bremsstrahlung | |
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| The Infra-Red Divergence | |
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| Problems | |
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| Radiative Corrections | |
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| The Second-Order Radiative Corrections of QED | |
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| The Photon Self-Energy | |
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| The Electron Self-Energy | |
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| External Line Renormalization | |
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| The Vertex Modification | |
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| Applications | |
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| The Infra-Red Divergence | |
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| Higher-Order Radiative Corrections | |
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| Renomalizability | |
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| Problems | |
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| Regularization | |
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| Mathematical Preliminaries | |
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| Cut-Off Regularization: The Electron Mass Shift | |
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| Dimensional Regularization | |
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| Vacuum Polarization | |
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| The Anomalous Magnetic Moment | |
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| Problems | |
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| Gauge Theories | |
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| The Simplest Gauge Theory: QED | |
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| Quantum Chromodynamics | |
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| Alternative Interactions? | |
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| Appendix: Two Gauge Transformation Results | |
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| Problems | |
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| Field Theory Methods | |
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| Green Functions | |
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| Feynman Diagrams and Feynman Rules | |
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| Relation to S-Matrix Elements | |
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| Functionals and Grassmann Fields | |
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| The Generating Functional | |
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| Problems | |
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| Path Integrals | |
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| Functional Integration | |
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| Path Integrals | |
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| Perturbation Theory | |
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| Gauge Independent Quantization? | |
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| Problems | |
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| Quantum Chromodynamics | |
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| Gluon Fields | |
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| Including Quarks | |
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| Perturbation Theory | |
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| Feynman Rules for QCD | |
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| Renormalizability of QCD | |
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| Problems | |
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| Asymptotic Freedom | |
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| Electron-Positron Annihilation | |
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| The Renormalization Scheme | |
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| The Renormalization Group | |
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| The Strong Coupling Constant | |
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| Applications | |
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| Appendix: Some Loop Diagrams in QCD | |
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| Problems | |
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| Weak Interactions | |
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| Introduction | |
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| Leptonic Weak Interactions | |
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| The Free Vector Boson Field | |
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| The Feynman Rules for the IVB Theory | |
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| Decay Rates | |
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| Applications of the IVB Theory | |
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| Neutrino Masses | |
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| Difficulties with the IVB Theory | |
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| Problems | |
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| A Gauge Theory of Weak Interactions | |
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| QED Revisited | |
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| Global Phase Transformations and Conserved Weak Currents | |
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| The Gauge-Invariant Electro-Weak Interaction | |
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| Properties of the Gauge Bosons | |
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| Lepton and Gauge Boson Masses | |
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| Spontaneous Symmetry Breaking | |
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| The Goldstone Model | |
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| The Higgs Model | |
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| The Standard Electro-Weak Theory | |
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| The Standard Electroweak Theory | |
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| The Lagrangian Density in the Unitary Gauge | |
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| Feynman Rules | |
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| Elastic NeutrinoElectron Scattering | |
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| ElectronPositron Annihilation | |
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| The Higgs Boson | |
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| Problems | |
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| Index | |