26 * The Goldstone Theorem at Non-zero Temperature . . . . . . . . . . . 187
27 The Goldstone Theorem for Relativistic Local Fields . . . . . . . . . . . 191
28 An Extension of Goldstone Theorem to Non-symmetric
Hamiltonians . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 199
28.1 Example: Spin Model with Magnetic Field . . . . . . . . . . . . . . . . 201
29 Symmetry Breaking in Gauge Theories . . . . . . . . . . . . . . . . . . . . . 203
29.1 Higgs Mechanism: Problems of the Perturbative Approach . . . . 203
29.2 Higgs Mechanism in Local Gauges . . . . . . . . . . . . . . . . . . . . . 206
29.3 Higgs Mechanism in the Coulomb Gauge . . . . . . . . . . . . . . . . 209
29.4 Axial Symmetry Breaking and U(1) Problem . . . . . . . . . . . . . . 214
Part II References
Appendix A: Long Range Dynamics and Vacuum Seizing . . . . . . . . . . . 225
Appendix B: Breaking of the Galilei Group and Plasmon Energy
Spectrum . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 237
Appendix C: Anderson Model of Superconductivity . . . . . . . . . . . . . . . . 245
Appendix D: Global and Local Gauge Symmetries . . . . . . . . . . . . . . . . . 249
Appendix E: Non-abelian Higgs Mechanism. . . . . . . . . . . . . . . . . . . . . . . 257
Appendix F: U(1) Problem Solved by Gauge Group Topology . . . . . . . . 263
Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 283
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