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Book Categories |
Foreword | ||
1 | Particles and their interactions in relativistic quantum mechanics | 1 |
1.1 | The propagator | 1 |
1.2 | The Green function | 5 |
1.3 | The scattering amplitude | 13 |
1.4 | The electromagnetic field | 17 |
1.5 | Photons in an 'external field' | 25 |
1.6 | Free massive relativistic particles | 36 |
1.7 | Interactions of spinless particles | 38 |
1.8 | Interaction of spinless particles with the electromagnetic field | 46 |
1.9 | Examples of the simplest electromagnetic processes | 51 |
1.10 | Diagrams and amplitudes in momentum representation | 56 |
1.11 | Amplitudes of physical processes | 59 |
1.12 | The Mandelstam plane | 75 |
1.13 | The Compton effect (for [pi]-mesons) | 80 |
2 | Particles with spin 1/2. Basic quantum electrodynamic processes | 85 |
2.1 | Free particles with spin 1/2 | 85 |
2.2 | The Green function of the electron | 98 |
2.3 | Matrix elements of electron scattering amplitudes | 100 |
2.4 | Electron-photon interaction | 102 |
2.5 | Electron-electron scattering | 105 |
2.6 | The Compton effect | 112 |
2.7 | Electron-positron annihilation into two photons | 125 |
2.8 | Electron scattering in an external field | 130 |
2.9 | Electron bremsstrahlung in an external field | 132 |
2.10 | The Weizsacker-Williams formula | 137 |
3 | General properties of the scattering amplitude | 144 |
3.1 | Symmetries in quantum electrodynamics | 144 |
3.2 | The CPT theorem | 153 |
3.3 | Causality and unitarity | 156 |
4 | Radiative corrections. Renormalization | 174 |
4.1 | Higher order corrections to the electron and photon Green functions | 174 |
4.2 | Renormalization of the electron mass and wave function | 182 |
4.3 | Renormalization of the photon Green function | 187 |
4.4 | Feynman rules for multiloop scattering amplitudes | 192 |
4.5 | Renormalization of the vertex part | 193 |
4.6 | The generalized Ward identity | 199 |
4.7 | Radiative corrections to electron scattering in an external field | 202 |
4.8 | The Dirac equation in an external field | 221 |
4.9 | Radiative corrections to the energy levels of hydrogen-like atoms. The Lamb shift | 234 |
5 | Difficulties of quantum electrodynamics | 241 |
5.1 | Renormalization and divergences | 241 |
5.2 | The zero charge problem in quantum electrodynamics | 258 |
References | 267 | |
Index | 268 |
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