| Preface |
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vii | |
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1 | (8) |
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Building Blocks of Matter |
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4 | (2) |
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6 | (3) |
| Part A. Relativistic Quantum Mechanics |
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9 | (119) |
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Relativistic Wave Equation: Klein-Gordon Equation |
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10 | (12) |
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11 | (3) |
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Klein-Gordon Equation: Approximate Form |
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14 | (1) |
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Klein-Gordon Equation for Coulomb Field: Pionic Atom |
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15 | (3) |
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Relativity Principle and Quantum Mechanics |
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18 | (4) |
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20 | (2) |
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Dirac Theory for Free Electrons |
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22 | (33) |
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Dirac's Relativistic Equations |
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22 | (7) |
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Solution of Dirac Equations for a Free Electron |
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29 | (3) |
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Properties of Negative-Energy States |
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32 | (10) |
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Divorce of momentum from velocity |
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32 | (1) |
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The Zitterbewegung of Schrodinger |
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33 | (3) |
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36 | (4) |
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The ``hole theory'' of positron |
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40 | (2) |
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42 | (6) |
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Foldy-Wouthuysen Representation |
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48 | (7) |
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52 | (1) |
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53 | (2) |
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γμ-matrices; Helicity; Charge Conjugation |
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55 | (24) |
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Properties of the γμ-matrices |
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55 | (6) |
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61 | (8) |
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Helicity, eigenvalues and eigenfunctions |
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62 | (3) |
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Neutrino, helicity and chirality |
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65 | (4) |
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69 | (6) |
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69 | (4) |
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73 | (2) |
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Dirac Equation in Majorana Representation |
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75 | (4) |
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77 | (1) |
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78 | (1) |
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Transformations of Dirac Equations |
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79 | (21) |
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79 | (1) |
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79 | (1) |
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80 | (5) |
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Space Inversion, Charge Conjugation and Time Reversal |
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85 | (5) |
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85 | (4) |
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89 | (1) |
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The Transformation Matrix S |
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90 | (10) |
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Infinitesimal Lorentz transformations |
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90 | (3) |
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Finite rotations in 3-dimensional space |
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93 | (3) |
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Special Lorentz transformation |
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96 | (2) |
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98 | (1) |
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99 | (1) |
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Dirac Electron in an Electromagnetic Field |
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100 | (28) |
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Dirac Equation in Second-order Form |
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102 | (3) |
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Dirac Equation: Approximate, Iterated Form |
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105 | (4) |
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Hydrogenic Atoms in Dirac's Theory-Approximate Solution |
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109 | (5) |
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Hydrogenic Atoms in Dirac's Theory-Exact Solution |
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114 | (7) |
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Dirac Equation and Many-body Features |
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121 | (2) |
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``Extra Moments'' to the Dirac Equation? |
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123 | (5) |
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127 | (1) |
| Part B. Introduction to Quantum Field Theory |
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128 | (150) |
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129 | (33) |
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129 | (4) |
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Classical Field Equations |
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133 | (4) |
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137 | (7) |
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The energy-momentum tensor Tμν |
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139 | (3) |
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The angular-momentum tensor |
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142 | (2) |
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The Klein-Gordon Field in Lagrangian Form |
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144 | (5) |
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The Electromagnetic Field in Lagrangian Form |
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149 | (4) |
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The Dirac Field in Lagrangian Form |
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153 | (9) |
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Appendix: Electromagnetic Fields |
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156 | (5) |
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161 | (1) |
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162 | (21) |
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162 | (4) |
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162 | (2) |
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164 | (2) |
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Symmetric and Antisymmetric Wave Functions for Bosons and Fermions |
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166 | (6) |
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Fock Representation: Creation and Annihilation Operators |
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172 | (11) |
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172 | (4) |
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A system of harmonic oscillators |
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176 | (1) |
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Creation and annihilation operators |
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177 | (1) |
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177 | (3) |
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180 | (2) |
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182 | (1) |
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Quantization of Free Fields |
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183 | (41) |
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Klein-Gordon, Real (Pseudo) Scalar Field &phis; (xμ) |
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183 | (7) |
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Klein-Gordon, Complex Scalar Field |
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190 | (4) |
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194 | (10) |
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Without the Lorentz condition |
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195 | (3) |
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198 | (4) |
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202 | (2) |
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Dirac Electron-Positron Field |
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204 | (3) |
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Dirac Theory of Emission and Absorption of Radiation |
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207 | (7) |
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Spontaneous emission coefficient A(u→l) |
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211 | (1) |
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Induced emission and absorption coefficients B(u→l) and B(u←l) |
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212 | (2) |
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Appendix: Green's Functions Δ and D |
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214 | (10) |
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216 | (1) |
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217 | (3) |
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220 | (2) |
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222 | (2) |
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Quantum Electrodynamics I: S-Matrix Elements |
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224 | (25) |
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The Evolution Operator and the S-Matrix |
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225 | (4) |
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S-Matrix Elements and Feynman Rules |
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229 | (10) |
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Calculation of Cross Sections |
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239 | (10) |
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(1) e+e- → e+e- at high energies |
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239 | (4) |
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Compton scattering γe- → γe- |
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243 | (2) |
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Electron-positron annihilation e+e- → γγ |
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245 | (2) |
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247 | (1) |
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248 | (1) |
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Quantum Electrodyamics II: Renormalization |
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249 | (29) |
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Pauli-Villars Regularization |
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253 | (7) |
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Dimensional Regularization |
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260 | (10) |
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Introduction to Renormalization |
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270 | (4) |
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Appendix: Some Useful Formulae for Dimensional Regularization |
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274 | (4) |
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276 | (1) |
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277 | (1) |
| Part C. The Standard Model: Quantum Chromodynamics and Glashow-Salam-Weinberg Electroweak Theory |
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278 | (116) |
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Symmetries, Transformations, and Invariants |
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279 | (32) |
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SU (2) Symmetries in Particle Physics |
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280 | (7) |
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Invariance under spatial rotations an an exact SU (2) symmetry |
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280 | (5) |
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285 | (2) |
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Flavor SU (3) Symmetry: Isospin and Strangeness |
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287 | (9) |
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287 | (2) |
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289 | (1) |
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290 | (6) |
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Additional Symmetries in Particle Physics |
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296 | (3) |
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Appendix: Potentials and Phase in Quantum Mechanics |
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299 | (12) |
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Field and potential in classical physics |
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299 | (1) |
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Field and potential in quantum mechanics |
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300 | (3) |
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Dirac's theory of the magnetic monopole |
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303 | (4) |
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The Aharonov-Bohm experiment |
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307 | (2) |
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309 | (1) |
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310 | (1) |
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311 | (30) |
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QCD is an SU (3) Gauge Theory |
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311 | (6) |
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QCD is Asymptotically Free |
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317 | (4) |
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321 | (2) |
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Appendix A: Method of Path Integrals |
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323 | (9) |
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Quantum mechanics and path integrals |
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323 | (2) |
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The path integral in field theory |
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325 | (2) |
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Path integrals and quantum electrodynamics |
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327 | (5) |
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Appendix B: Method of Lattice Gauge Fields |
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332 | (9) |
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332 | (3) |
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335 | (2) |
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Euclidean lattice gauge theories |
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337 | (2) |
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339 | (1) |
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340 | (1) |
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The Glashow-Salam-Weinberg Electroweak Theory |
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341 | (23) |
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Higgs Mechanism in an SU (2) X U (1) Gauge Theory |
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342 | (4) |
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The SU (2) X U (1) Electroweak Theory with Two Generations of Fermions |
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346 | (2) |
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Weak Interactions at Low Energies |
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348 | (6) |
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Appendix: Feynman Rules in the Rξ Gauge |
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354 | (10) |
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362 | (1) |
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363 | (1) |
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Experimental Tests of the Standard Model |
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364 | (30) |
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364 | (9) |
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364 | (3) |
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Tests of QCD in deep inelastic scattering |
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367 | (2) |
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Tests of QCD in high energy hadron collisions |
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369 | (1) |
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Tests of QCD in heavy quarkonium decay |
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370 | (1) |
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Tests of QCD in e+e- Collisions |
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371 | (1) |
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372 | (1) |
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The Glashow-Salam-Weinberg SU (2) X U (1) Electroweak Theory |
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373 | (13) |
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Formulae on cross sections and asymmetries |
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374 | (6) |
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Standard-model analyses of experimental results |
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380 | (3) |
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Model-independent analyses of experimental results |
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383 | (2) |
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385 | (1) |
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386 | (8) |
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389 | (4) |
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393 | (1) |
| Subject Index |
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394 | (7) |
| Name Index |
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401 | |
Other versions by this Author
