Preface |
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xv | |
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Particle Physics and Special Relativity |
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1 | (22) |
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5 | (7) |
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A Quick Overview of Particle Physics |
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12 | (2) |
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14 | (4) |
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18 | (1) |
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18 | (1) |
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19 | (1) |
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19 | (1) |
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20 | (1) |
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20 | (3) |
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23 | (26) |
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Basic Lagrangian Mechanics |
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23 | (3) |
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The Action and the Equations of Motion |
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26 | (3) |
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Canonical Momentum and the Hamiltonian |
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29 | (1) |
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30 | (5) |
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Symmetries and Conservation Laws |
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35 | (3) |
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38 | (1) |
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The Electromagnetic Field |
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39 | (4) |
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43 | (4) |
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47 | (1) |
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47 | (2) |
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An Introduction to Group Theory |
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49 | (22) |
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Representation of the Group |
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50 | (2) |
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52 | (1) |
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52 | (2) |
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54 | (1) |
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55 | (3) |
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58 | (4) |
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62 | (5) |
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67 | (1) |
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68 | (1) |
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68 | (3) |
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Discrete Symmetries and Quantum Numbers |
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71 | (14) |
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Additive and Multiplicative Quantum Numbers |
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71 | (1) |
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72 | (4) |
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76 | (2) |
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78 | (2) |
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80 | (2) |
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82 | (1) |
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83 | (2) |
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85 | (24) |
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The Classical Dirac Field |
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85 | (2) |
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87 | (2) |
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The Form of the Dirac Matrices |
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89 | (2) |
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Some Tedious Properties of the Dirac Matrices |
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91 | (3) |
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Adjoint Spinors and Transformation Properties |
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94 | (1) |
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95 | (1) |
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Solutions of the Dirac Equation |
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95 | (4) |
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99 | (4) |
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Boosts, Rotations, and Helicity |
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103 | (1) |
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104 | (3) |
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107 | (1) |
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108 | (1) |
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109 | (30) |
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Arriving at the Klein-Gordon Equation |
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110 | (7) |
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117 | (1) |
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Field Quantization of Scalar Fields |
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117 | (10) |
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States in Quantum Field Theory |
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127 | (1) |
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Positive and Negative Frequency Decomposition |
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128 | (1) |
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128 | (2) |
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Normalization of the States |
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130 | (1) |
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131 | (3) |
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Normal and Time-Ordered Products |
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134 | (1) |
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135 | (2) |
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137 | (1) |
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137 | (2) |
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139 | (24) |
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141 | (2) |
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143 | (3) |
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Basics of the Feynman Rules |
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146 | (5) |
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151 | (2) |
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Steps to Construct an Amplitude |
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153 | (7) |
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Rates of Decay and Lifetimes |
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160 | (1) |
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160 | (1) |
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160 | (3) |
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163 | (24) |
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Reviewing Classical Electrodynamics Again |
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165 | (3) |
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The Quantized Electromagnetic Field |
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168 | (2) |
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170 | (3) |
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173 | (12) |
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185 | (1) |
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185 | (2) |
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Spontaneous Symmetry Breaking and the Higgs Mechanism |
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187 | (22) |
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Symmetry Breaking in Field Theory |
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189 | (3) |
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Mass Terms in the Lagrangian |
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192 | (3) |
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195 | (1) |
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Spontaneous Symmetry Breaking and Mass |
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196 | (3) |
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Lagrangians with Multiple Particles |
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199 | (3) |
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202 | (5) |
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207 | (1) |
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207 | (2) |
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209 | (24) |
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Right- and Left-Handed Spinors |
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210 | (1) |
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A Massless Dirac Lagrangian |
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211 | (1) |
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Leptonic Fields of the Electroweak Interactions |
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212 | (1) |
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Charges of the Electroweak Interaction |
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213 | (2) |
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Unitary Transformations and the Gauge Fields of the Theory |
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215 | (4) |
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Weak Mixing or Weinberg Angle |
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219 | (1) |
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220 | (2) |
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Giving Mass to the Lepton Fields |
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222 | (2) |
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224 | (7) |
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231 | (1) |
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231 | (2) |
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233 | (12) |
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233 | (5) |
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238 | (4) |
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242 | (1) |
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243 | (2) |
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245 | (18) |
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Basic Overview of Supersymmetry |
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246 | (1) |
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247 | (2) |
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Supersymmetric Quantum Mechanics |
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249 | (4) |
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The Simplified Wess-Zumino Model |
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253 | (1) |
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254 | (6) |
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260 | (1) |
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260 | (3) |
Final Exam |
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263 | (18) |
Solutions to Quizzes and Final Exam |
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281 | (8) |
References |
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289 | (2) |
Index |
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291 | |