Renormalization group /
Scaling and self-similarity ideas and methods in theoretical physics have, in the last twenty-five years, coalesced into renormalization-group methods. This book analyzes, from a single perspective, some of the most important applications: the critical-point theory in classical statistical mechanics...
Call Number: | Libro Electrónico |
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Main Author: | |
Other Authors: | |
Format: | Electronic eBook |
Language: | Inglés |
Published: |
Princeton, NJ :
Princeton University Press,
c1995.
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Series: | Physics notes ;
1. |
Subjects: | |
Online Access: | Texto completo |
Table of Contents:
- Ch. 1. Introduction
- Ch. 2. Problems Equivalent to the Analysis of Suitable Functional Integrals: Critical Point and Field Theory
- Ch. 3. Other Functional Integrals: Fermi Sphere and Bose Condensation
- Ch. 4. Effective Potentials and Schwinger Functions
- Ch. 5. Multiscale Decomposition of Propagators and Fields: Running Effective Potentials
- Ch. 6. Renormalization Group: Relevant and Irrelevant Components of the Effective Potentials
- Ch. 7. Asymptotic Freedom: Upper Critical Dimension
- Ch. 8. Beyond the Linear Approximations: The Beta Function and Perturbation Theory
- Ch. 9. The Beta Function as a Dynamical System: Asymptotic Freedom of Marginal Theories
- Ch. 10. Anomalous Dimension
- Ch. 11. The Fermi Liquid and the Luttinger Model
- Ch. 12. The Generic Critical Point for d = 3, [Gamma] = 0: The [Epsilon]-Expansion
- Ch. 13. Bose Condensation: Reformulation
- Ch. 14. Bose Condensation: Effective Potentials
- Ch. 15. The Beta Function for the Bose Condensation
- A Brief Historical Note
- Appendix 1. The Free Fermion Propagator
- Appendix 2. Grassmannian Integration
- Appendix 3. Trees and Feynman Graphs
- Appendix 4. Schwinger Functions and Anomalous Dimension
- Appendix 5. Propagators for the Bose Gas
- Appendix 6. The Beta Function for the Bose Gas.