| Introduction | p. xi |
| Lorentz and Poincare Invariance | p. 1 |
| Lorentz Invariance | p. 1 |
| Structure of the Lorentz Group | p. 7 |
| Poincare Invariance | p. 10 |
| Maxwell Equations | p. 10 |
| Notations and Conventions | p. 12 |
| Relativistic Quantum Mechanics of Free Particles | p. 15 |
| Hilbert Space | p. 15 |
| Matrices in Hilbert Space | p. 22 |
| Fields | p. 25 |
| Structure of Hilbert Space | p. 29 |
| Interacting Fields | p. 32 |
| Physical System | p. 32 |
| Hilbert Space | p. 33 |
| Magnitude of Hilbert Space | p. 34 |
| U-matrix, S-matrix | p. 35 |
| Interpolating Fields | p. 39 |
| Feynman Rules | p. 46 |
| Feynman Propagator | p. 54 |
| Scattering Cross Section | p. 55 |
| Lifetime | p. 60 |
| Numerical Evaluation | p. 62 |
| Schrodinger Equation, Bound States | p. 62 |
| Particles with Spin | p. 68 |
| Representations of the Lorentz Group | p. 68 |
| The Dirac Equation | p. 76 |
| Fermion Fields | p. 79 |
| The E.M. Field | p. 85 |
| Quantum Electrodynamics | p. 87 |
| Charged Vector Boson Fields | p. 91 |
| Electron-Proton Scattering. The Rutherford Formula | p. 92 |
| Explorations | p. 98 |
| Scattering Cross Section for e[superscript +]e[superscript -] [right arrow] [mu superscript + mu superscript -] | p. 98 |
| Pion Decay. Two Body Phase Space. Cabibbo Angle | p. 101 |
| Vector Boson Decay | p. 105 |
| Muon Decay. Fiertz Transformation | p. 108 |
| Hyperon Leptonic Decay | p. 117 |
| Pion Decay and PCAC | p. 124 |
| Neutral Pion Decay and PCAC | p. 131 |
| Renormalization | p. 137 |
| Introduction | p. 137 |
| Loop Integrals | p. 137 |
| Self Energy | p. 145 |
| Power Counting | p. 148 |
| Quantum Electrodynamics | p. 151 |
| Renormalizable Theories | p. 153 |
| Radiative Corrections: Lamb Shift | p. 154 |
| Radiative Corrections: Top Correction to [rho]-Parameter | p. 157 |
| Neutral Pion Decay and the Anomaly | p. 162 |
| Massive and Massless Vector Fields | p. 169 |
| Subsidiary Condition Massive Vector Fields | p. 169 |
| Subsidiary Condition Massless Vector Fields | p. 171 |
| Photon Helicities | p. 173 |
| Propagator and Polarization Vectors of Massive Vector Particles | p. 174 |
| Photon Propagator | p. 177 |
| Left Handed Photons | p. 180 |
| Unitarity | p. 183 |
| U-matrix | p. 183 |
| Largest Time Equation | p. 185 |
| Cutting Equations | p. 187 |
| Unitarity and Cutting Equation | p. 191 |
| Unitarity: General Case | p. 197 |
| Kallen-Lehmann Representation, Dispersion Relation | p. 200 |
| Momenta in Propagators | p. 204 |
| Quantum Electrodynamics: Finally | p. 207 |
| Unitarity | p. 207 |
| Ward Identities | p. 208 |
| Complex Spaces, Matrices, CBH Equation | p. 213 |
| Basics | p. 213 |
| Differentiation of Matrices | p. 217 |
| Functions of Matrices | p. 218 |
| The CBH Equation | p. 220 |
| Traces | p. 224 |
| General | p. 224 |
| Multi-Dimensional [gamma]-Matrices | p. 230 |
| Frequently Used Equations | p. 231 |
| Dimensional Regularization | p. 233 |
| Summary: Combinatorial Factors | p. 243 |
| Summary | p. 243 |
| External Lines, Spin Sums, Propagators | p. 245 |
| Combinatorial Factors | p. 247 |
| Standard Model | p. 249 |
| Lagrangian | p. 249 |
| Feynman Rules | p. 258 |
| Metric and Conventions | p. 273 |
| General Considerations | p. 273 |
| Translation Examples | p. 279 |
| Translation Dictionary | p. 281 |
| Index | p. 282 |
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