Renormalization Group /

Renormalization Group / / Giuseppe Benfatto, Giovanni Gallavotti.

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...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999
VerfasserIn:
Benfatto, Giuseppe,
Gallavotti, Giovanni,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2020]
©1995
Year of Publication:2020
Language:English
Series:Physics Notes ; 1
Online Access:
Physical Description:1 online resource (140 p.)
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Table of Contents:
  • Frontmatter
  • Contents
  • Preface
  • Chapter 1. Introduction
  • Chapter 2. Problems Equivalent to the Analysis of Suitable Functional Integrals: Critical Point and Field Theory
  • Chapter 3. Other Functional Integrals: Fermi Sphere and Bose Condensation
  • Chapter 4. Effective Potentials and Schwinger Functions
  • Chapter 5. Multiscale Decomposition of Propagators and Fields: Running Effective Potentials
  • Chapter 6. Renormalization Group: Relevant and Irrelevant Components of the Effective Potentials
  • Chapter 7. Asymptotic Freedom: Upper Critical Dimension
  • Chapter 8. Beyond the Linear Approximations: The Beta Function and Perturbation The
  • Chapter 9. The Beta Function as a Dynamical System: Asymptotic Freedom of Marginal Theories
  • Chapter 10. Anomalous Dimension
  • Chapter 11. The Fermi Liquid and the Luttinger Model
  • Chapter 12. The Generic Critical Point for d = 3,7 = 0: The ^-Expansion
  • Chapter 13. Bose Condensation: Reformulation
  • Chapter 14. Bose Condensation: Effective Potentials
  • Chapter 15. The Beta Function for the Bose Conden
  • A Brief Historical Note
  • Bibliographical Notes
  • 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
  • References
  • Subject Index
  • Citation Index

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