Chapters in this book

1. Frontmatter i
2. Contents v
3. Preface vii
4. Chapter 1. Introduction 3
5. Chapter 2. Problems Equivalent to the Analysis of Suitable Functional Integrals: Critical Point and Field Theory 5
6. Chapter 3. Other Functional Integrals: Fermi Sphere and Bose Condensation 12
7. Chapter 4. Effective Potentials and Schwinger Functions 19
8. Chapter 5. Multiscale Decomposition of Propagators and Fields: Running Effective Potentials 22
9. Chapter 6. Renormalization Group: Relevant and Irrelevant Components of the Effective Potentials 27
10. Chapter 7. Asymptotic Freedom: Upper Critical Dimension 34
11. Chapter 8. Beyond the Linear Approximations: The Beta Function and Perturbation The 38
12. Chapter 9. The Beta Function as a Dynamical System: Asymptotic Freedom of Marginal Theories 52
13. Chapter 10. Anomalous Dimension 56
14. Chapter 11. The Fermi Liquid and the Luttinger Model 66
15. Chapter 12. The Generic Critical Point for d = 3,7 = 0: The ^-Expansion 70
16. Chapter 13. Bose Condensation: Reformulation 75
17. Chapter 14. Bose Condensation: Effective Potentials 81
18. Chapter 15. The Beta Function for the Bose Conden 87
19. A Brief Historical Note 96
20. Bibliographical Notes 100
21. Appendix 1. The Free Fermion Propagator 104
22. Appendix 2. Grassmannian Integration 106
23. Appendix 3. Trees and Feynman Graphs 111
24. Appendix 4. Schwinger Functions and Anomalous Dimension 120
25. Appendix 5. Propagators for the Bose Gas 124
26. Appendix 6. The Beta Function for the Bose Gas 126
27. References 135
28. Subject Index 141
29. Citation Index 143