Lectures on Particles and Field Theory

FOREWORD......Page 3
TABLE OF CONTENTS......Page 5
QUANTUM ELECTRODYNAMICS (K. Johnson)......Page 7
1. INTRODUCTION ......Page 11
2.1 The Electromagnetic Field ......Page 12
2.2 The Electron Field ......Page 22
2.3 Interacting quantized Electromagnetic and Dirac Fields ......Page 29
3.1 Derivation of the Schwinger-Dyson Equations ......Page 41
3.2 Current Conservation and Ward\'s Identity ......Page 44
3.3 Renormalization Theory ......Page 46
4.1 The Electron Green\'s Function and the Vertex Function. Self Energy of the Electron ......Page 54
4.2 The Photon Green\'s Function. Vacuum Polarization ......Page 70
REFERENCES ......Page 81
SPECTROSCOPY OF THE STRONGLY INTERACTING PARTICLES (D. Lichtenberg)......Page 83
1.2 Conservation Laws ......Page 87
1.3 Spin and Statistics and CPT ......Page 88
1.4 Consequences of CPT Invariance ......Page 90
1.6 Parity ......Page 91
1.7 Superselection Rules and Intrinsic Parity ......Page 92
1.8 Dalitz Plot ......Page 94
1.9 Some Theorems About Spins and Parities ......Page 96
2.1 Quantum Numbers ......Page 98
2.2 SU_3 Structure ......Page 99
2.3 Mass Splitting ......Page 101
2.4 The Pion ......Page 102
5. BARYON OCTUPLET 12 ......Page 14
2.6 The K Meson ......Page 107
2.7 The X^0 Meson ......Page 112
3.1 Quantum Numbers ......Page 114
3.2 The rho Meson ......Page 115
3.3 The K^* Meson ......Page 118
3.4 The omega Meson ......Page 121
3.5 The phi Meson ......Page 123
3.6 SU_3 Structure ......Page 126
3.7 Form Factors of the Nucleon ......Page 127
4.1 The f Meson ......Page 129
4.4 The R (or A_2) Meson ......Page 131
4.5 The kappa Meson ......Page 134
4.6 The ABC Effect ......Page 132
4.7 Other Effects ......Page 133
5.1 Spins and Parities ......Page 135
6.1 Notation ......Page 138
6 2 The N^*_3/2 or Delta Resonance ......Page 139
6.3 The Y^*_1 or Sigma^* Resonance ......Page 140
6.5 The Omega^- Baryon ......Page 141
7. OTHER BARYON RESONANCES ......Page 143
7.1 Nucleonic Resonances ......Page 144
7.2 Hyperon Resonances ......Page 145
GENERAL REFERENCES ......Page 148
FIELD THEORY OF PARTICLES (J. Schwinger)......Page 151
1.2 Quantum Action Principle ......Page 155
1.3 Fields ......Page 163
1.4 Lorentz Invariance; Fundamental Commutator Condition ......Page 167
2.1 Scalar Field ......Page 177
2.2 Vector Field ......Page 181
2.3 Spin 1/2 Field ......Page 186
2.4 Interacting Fields ......Page 194
2.5 Quantum Electrodynamics ......Page 202
3.1 Absolute Conservation Laws and the Stability of Matter ......Page 208
3.2 Leptonic Fields ......Page 211
3.3 Strongly Interacting Fundamental Fields ......Page 219
3.4 W_3 Symmetry ......Page 225
3.5 W_3 Symmetry and Particles ......Page 231
3.6 W_3 Symmetry-Breaking Interaction ......Page 234
3.7 Conservation Laws of Strong Interactions ......Page 238
3.8 Electromagnetic Interactions ......Page 242
3.9 Weak Interactions ......Page 244
4.1 W_3 Symmetry Breakdown and SU_3 Symmetry ......Page 248
4.2 Mass Relations ......Page 254
4.3 The Ninth Baryon Y^0 ......Page 261
4.4 Electromagnetic Interaction and the Breakdown of SU_2 Symmetry ......Page 264
4.5 Weak Interactions and Hypercharge ......Page 268
5.1 Fundamental Theory and Phenomenological Theory ......Page 273
5.2 Applications ......Page 277
QUASIPARTICLES AND PERTURBATION THEORY (S. Weinberg)......Page 295
1. INTRODUCTION ......Page 299
2. REVIEW OF SCATTERING THEORY ......Page 302
3.1 Z as a Criterion for Elementarity ......Page 310
3.2 Measurement of Z. The Deuteron ......Page 314
3.3 Levinson\'s Theorem ......Page 319
3.4 The Quasiparticle Idea ......Page 324
4. SOME ESSENTIALS OF FUNCTIONAL ANALYSIS ......Page 331
5. NON-RELATIVISTIC PERTURBATION THEORY: TWO-PARTICLE CASE ......Page 346
6. NON-RELATIVISTIC PERTURBATION THEORY: MULTI-PARTICLE CASE ......Page 368
7. REMARKS ON RELATIVISTIC PERTURBATION THEORY ......Page 394
REFERENCES ......Page 404
THE QUANTUM THEORY OF MASSLESS PARTICLES (S. Weinberg)......Page 411
1. INTRODUCTION ......Page 415
2.1 Lorentz Transformations ......Page 417
2.2 The Lie Algebra of ILG ......Page 419
2.3 Method of the Little Group: m!=0 ......Page 421
2.4 Massless Particles ......Page 425
2.5 Helicity States for m!=0 ......Page 428
3.1 Lorentz Invariance of Perturbation Theory ......Page 430
3.2 Free Fields ......Page 434
3.3 Causality, Spin and Statistics, Antiparticles, and the Feynman Rules ......Page 438
3.4 Irreducible Representations of the Homogeneous Lorentz Group ......Page 440
3.5 Restriction on the Field Types ......Page 442
3.6 Helicity Representation Fields and the Limit m->0 ......Page 444
3.7 (2j+1)-Component Fields ......Page 447
3.8 T, C, P, and 2(2j+1)-Component Fields ......Page 453
4.2 Tensor Notation for the Fields ......Page 457
4.3 The Potentials ......Page 462
4.4 Lorentz Invariance and Current Conservation ......Page 464
4.5 Derivation of Maxwell\'s Equations ......Page 472
4.6 Derivation of Einstein\'s Equations ......Page 475
4.7 Monopoles ......Page 477
4.8 Feynman Rules for Photons and Gravitons ......Page 480
5.1 Form of the S-Matrix ......Page 482
5.2 Definition of Charge and Gravitational Mass ......Page 484
5.3 Conservation of Charge, and Equality of Gravitational and Inertial Mass ......Page 486
6. FINAL REMARKS ......Page 488
REFERENCES......Page 490