Functional Integrals in Quantum Field Theory and Statistical Physics

Cover......Page 1
Title Page......Page 4
Copyright Page......Page 5
Contents......Page 6
Foreword......Page 8
1. Introduction\0......Page 10
2. Functional Integrals in Quantum Mechanics\0......Page 13
3. Quantization of Systems with Constraints\0......Page 17
4. Functional Integrals and Quantization on Manifolds\0......Page 22
5. Functional Integrals and Perturbation Theory in Quantum Field Theory\0......Page 26
6. Functional Integrals and the Temperature Diagram Technique in Statistical Physics\0......Page 38
7. Quantization of Gauge Fields\0......Page 50
8. Quantum Electrodynamics\0......Page 55
9. Yang-Mills Fields\0......Page 62
10. Quantization of a Gravitational Field\0......Page 76
11. Attempts to Construct a Gauge-Invariant Theory of Electromagnetic and Weak Interactions\0......Page 95
12. Method of Successive Integration Over `Rapid\' and `Slow\' Fields\0......Page 104
13. Infrared Asymptotic Behaviour of Green\'s Functions in Quantum Electrodynamics\0......Page 107
14. Double Logarithmic Asymptotics in Quantum Electro- dynamics\0......Page 120
15. Eikonal Approximation\0......Page 125
16. Perturbation Theory for Superfluid Bose Systems\0......Page 132
17. Bose Gas of Small Density\0......Page 138
18. Application of Functional Integrals to the Derivation of Low-Energy Asymptotic Behaviour of the Grden\'s Function\0......Page 149
19. Hydrodynamical Lagrangian of Nonideal Bose Gas\0......Page 157
20. Superfluidity of Two-Dimensional and One-Dimensional Bose Systems\0......Page 169
21. Quantum Vortices in a Bose Gas\0......Page 182
22. Perturbation Theory of Superconducting Fermi Systems\0......Page 192
23. Superconductivity of the Second Kind\0......Page 200
24. Bose Spectrum of Superfluid Fermi Gas\0......Page 214
25. A System of the He3 Type\0......Page 220
26. Hydrodynamical Action in Plasma Theory\0......Page 238
27. Damping of Plasma Oscillations\0......Page 246
28. The Statistical Sum of the Ising Model as a Functional Integral\0......Page 249
29. The Correlation Function of the Ising Model\0......Page 261
30. Special Role of Dimension d = 4\0......Page 271
31. Calculation of Critical Indices and the Wilson Expansion\0......Page 282
32. Vortices in the Relativistic Goldstone Model\0......Page 290
33. On Vortex-Like Solutions in Quantum Field Theory\0......Page 297
REFERENCES\0......Page 299
SUBJECT INDEX\0......Page 307