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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Benfatto, Giuseppe, 1944-
Otros Autores: Gallavotti, Giovanni
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, NJ : Princeton University Press, c1995.
Colección:Physics notes ; 1.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.