Renormalization group

Renormalization group

by Benfatto, Giuseppe

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Title Statements

  • Full title :Renormalization group / Giuseppe Benfatto and Giovanni Gallavotti.

Edition Statements

  • Publication Date:©1995.

Publication Statements

The Physical Object

  • Description:viii, 142 pages : : illustrations ; : 24 cm

Edition Identifiers

  • ISBN:0691044473, 9780691044477, 0691044465, 9780691044460
  • oclc:ocm32241668
  • LC Classification:QC20.7.R43
  • Dewey Decimal:530.1/33

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 Di…

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