Contents

Chapters in this book

1. Frontmatter i
2. Contents v
3. Preface ix
4. Part I
5. Chapter 1. Gauge Principle In Electrodynamics 3
6. Chapter 2. Scalar And Vector Fields 11
7. Chapter 3. Elements of the Theory of Lie Groups and Algebras 33
8. Chapter 4. Non-Abelian Gauge Fields 57
9. Chapter 5. Spontaneous Breaking of Global Symmetry 85
10. Chapter 6. Higgs Mechanism 105
11. Supplementary Problems for Part I 127
12. Part II
13. Chapter 7. The Simplest Topological Solitons 137
14. Chapter 8. Elements of Homotopy Theory 173
15. Chapter 9. Magnetic Monopoles 193
16. Chapter 10. Non-Topological Solitons 215
17. Chapter 11. Tunneling and Euclidean Classical Solutions in Quantum Mechanics 225
18. Chapter 12. Decay of a False Vacuum in Scalar Field Theory 249
19. Chapter 13. Instantons and Sphalerons in Gauge Theories 263
20. Supplementary Problems for Part II 287
21. Part III
22. Chapter 14. Fermions in Background Fields 295
23. Chapter 15. Fermions and Topological External Fields in Two-dimensional Models 329
24. Chapter 16. Fermions in Background Fields of Solitons and Strings in Four-Dimensional Space–Time 351
25. Chapter 17. Non-Conservation of Fermion Quantum Numbers in Four-dimensional Non-Abelian Theories 373
26. Supplementary Problems for Part III 397
27. Appendix Classical Solutions and the Functional Integral 403
28. Bibliography 429
29. Index 441