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1 | (20) |
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0.0 Historical Introduction |
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1 | (5) |
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0.1 Minkowski Space and the Lorentz Group |
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6 | (5) |
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0.2 Tensors in Minkowski Space |
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11 | (3) |
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0.3 Some Topics of Scattering Theory |
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14 | (5) |
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19 | (2) |
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1 Relativistic Quantum Mechanics |
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21 | (45) |
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1.1 Spinor Representations of the Lorentz Group |
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21 | (5) |
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1.2 Invariant Field Equations |
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26 | (6) |
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1.3 Algebraic Properties of the Dirac Equation |
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32 | (4) |
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1.4 Discussion of the Free Dirac Equation |
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36 | (8) |
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1.5 Gauge Invariance and Electromagnetic Fields |
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44 | (10) |
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54 | (8) |
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62 | (4) |
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66 | (93) |
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2.1 Second Quantization in Fock Space |
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67 | (11) |
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2.2 Quantization of the Dirac Field |
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78 | (9) |
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2.3 Discussion of the Commutation Functions |
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87 | (6) |
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2.4 The Scattering Operator (S-Matrix) in Fock Space |
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93 | (12) |
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105 | (6) |
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111 | (7) |
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118 | (6) |
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2.8 The Causal Phase of the S-Matrix |
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124 | (10) |
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2.9 Non-perturbative Construction of the Causal Phase |
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134 | (7) |
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141 | (5) |
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2.11 Quantization of the Radiation Field |
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146 | (10) |
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156 | (3) |
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3 Causal Perturbation Theory |
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159 | (107) |
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3.1 The Method of Epstein and Glaser |
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160 | (11) |
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3.2 Splitting of Causal Distributions |
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171 | (14) |
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185 | (3) |
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3.4 Electron Scattering (Moeller Scattering) |
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188 | (9) |
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3.5 Electron-Photon Scattering (Compton Scattering) |
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197 | (7) |
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204 | (6) |
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210 | (7) |
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3.8 Vertex Function: Causal Distribution |
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217 | (14) |
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3.9 Vertex Function: Retarded Distribution |
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231 | (8) |
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239 | (3) |
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242 | (8) |
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3.12 Charged Particles in Perturbative QED |
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250 | (10) |
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3.13 Charge Normalization |
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260 | (3) |
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263 | (3) |
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4 Properties of the S-Matrix |
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266 | (72) |
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266 | (5) |
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4.2 Operator Character of the S-Matrix |
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271 | (3) |
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4.3 Normalizability of QED |
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274 | (5) |
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279 | (7) |
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286 | (7) |
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4.6 Gauge Invariance and Ward Identities |
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293 | (11) |
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304 | (8) |
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4.8 Renormalization Group |
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312 | (6) |
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4.9 Interacting Fields and Operator Products |
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318 | (9) |
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327 | (10) |
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337 | (1) |
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5 Other Electromagnetic Couplings |
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338 | (41) |
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5.1 Scalar QED: Basic Properties |
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338 | (9) |
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5.2 Scalar QED: Gauge Invariance |
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347 | (7) |
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354 | (11) |
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5.4 2Dimensional QED: Vacuum Polarization |
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365 | (7) |
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5.5 2Dimensional QED: Mass Generation |
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372 | (6) |
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378 | (1) |
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6.1 Non-abelian Gauge Theories |
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379 | (3) |
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6.2 Gauge Invariance of QED to all Orders |
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382 | (4) |
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A The Hydrogen Atom According to the Schrodinger Equation |
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386 | (3) |
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B Regularly Varying Functions |
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389 | (5) |
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394 | (3) |
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D Grassmann Test Functions |
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397 | (5) |
Bibliographical Notes |
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402 | (7) |
Subject Index |
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409 | |