Dedication |
Preface |
Photons and the Electromagnetic Field / 1: |
Particles and Fields / 1.1: |
The Electromagnetic Field in the Absence of Charges / 1.2: |
The Electric Dipole Interaction / 1.3: |
The Electromagnetic Field in the Presence of Charges / 1.4: |
Appendix: The Schrödinger, Heisenberg and Interaction Pictures / 1.5: |
Problems |
Lagrangian Field Theory / 2: |
Relativistic Notation / 2.1: |
Classical Lagrangian Field Theory / 2.2: |
Quantized Lagrangian Field Theory / 2.3: |
Symmetries and Conservation Laws / 2.4: |
The KleinGordon field / 3: |
The Real KleinGordon Field / 3.1: |
The Complex KleinGordon Field / 3.2: |
Covariant Commutation Relations / 3.3: |
The Meson Propagator / 3.4: |
The Dirac Field / 4: |
The Number Representation for Fermions / 4.1: |
The Dirac Equation / 4.2: |
Second Quantization / 4.3: |
The Fermion Propagator / 4.4: |
The Electromagnetic Interaction and Gauge Invariance / 4.5: |
Photons: Covariant Theory / 5: |
The Classical Fields / 5.1: |
Covariant Quantization / 5.2: |
The Photon Propagator / 5.3: |
The S-Matrix Expansion / 6: |
Natural Dimensions and Units / 6.1: |
Wic's Theorem / 6.2: |
Feynman Diagrams and Rules in QED / 7: |
Feynman Diagrams in Configuration Space / 7.1: |
Feynman Diagrams in Momentum Space / 7.2: |
Feynman Rules for QED / 7.3: |
Leptons / 7.4: |
QED Processes in Lowest Order / 8: |
The Cross-Section / 8.1: |
Spin Sums / 8.2: |
Photon Polarization Sums / 8.3: |
Lepton Pair Production in (eþe_) Collisions / 8.4: |
Bhabha Scattering / 8.5: |
Compton Scattering / 8.6: |
Scattering by an External Field / 8.7: |
Bremsstrahlung / 8.8: |
The Infra-Red Divergence / 8.9: |
Radiative Corrections / 9: |
The Second-Order Radiative Corrections of QED / 9.1: |
The Photon Self-Energy / 9.2: |
The Electron Self-Energy / 9.3: |
External Line Renormalization / 9.4: |
The Vertex Modification / 9.5: |
Applications / 9.6: |
Higher-Order Radiative Corrections / 9.7: |
Renomalizability / 9.9: |
Regularization / 10: |
Mathematical Preliminaries / 10.1: |
Cut-Off Regularization: The Electron Mass Shift / 10.2: |
Dimensional Regularization / 10.3: |
Vacuum Polarization / 10.4: |
The Anomalous Magnetic Moment / 10.5: |
Gauge Theories / 11: |
The Simplest Gauge Theory: QED / 11.1: |
Quantum Chromodynamics / 11.2: |
Alternative Interactions? / 11.3: |
Appendix: Two Gauge Transformation Results / 11.4: |
Field Theory Methods / 12: |
Green Functions / 12.1: |
Feynman Diagrams and Feynman Rules / 12.2: |
Relation to S-Matrix Elements / 12.3: |
Functionals and Grassmann Fields / 12.4: |
The Generating Functional / 12.5: |
Path Integrals / 13: |
Functional Integration / 13.1: |
Perturbation Theory / 13.2: |
Gauge Independent Quantization? / 13.4: |
Gluon Fields / 14: |
Including Quarks / 14.2: |
Feynman Rules for QCD / 14.3: |
Renormalizability of QCD / 14.5: |
Asymptotic Freedom / 15: |
Electron-Positron Annihilation / 15.1: |
The Renormalization Scheme / 15.2: |
The Renormalization Group / 15.3: |
The Strong Coupling Constant / 15.4: |
Appendix: Some Loop Diagrams in QCD / 15.5: |
Weak Interactions / 16: |
Introduction / 16.1: |
Leptonic Weak Interactions / 16.2: |
The Free Vector Boson Field / 16.3: |
The Feynman Rules for the IVB Theory / 16.4: |
Decay Rates / 16.5: |
Applications of the IVB Theory / 16.6: |
Neutrino Masses / 16.7: |
Difficulties with the IVB Theory / 16.8: |
A Gauge Theory of Weak Interactions / 17: |
QED Revisited / 17.1: |
Global Phase Transformations and Conserved Weak Currents / 17.2: |
The Gauge-Invariant Electro-Weak Interaction / 17.3: |
Properties of the Gauge Bosons / 17.4: |
Lepton and Gauge Boson Masses / 17.5: |
Spontaneous Symmetry Breaking / 18: |
The Goldstone Model / 18.1: |
The Higgs Model / 18.2: |
The Standard Electro-Weak Theory / 18.3: |
The Standard Electroweak Theory / 19: |
The Lagrangian Density in the Unitary Gauge / 19.1: |
Feynman Rules / 19.2: |
Elastic NeutrinoElectron Scattering / 19.3: |
ElectronPositron Annihilation / 19.4: |
The Higgs Boson / 19.5: |
Index / Appendix A: |
Dedication |
Preface |
Photons and the Electromagnetic Field / 1: |
Particles and Fields / 1.1: |
The Electromagnetic Field in the Absence of Charges / 1.2: |
The Electric Dipole Interaction / 1.3: |