Renormalization Group /

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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
Autores principales: Benfatto, Giuseppe (Autor), Gallavotti, Giovanni (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, NJ : Princeton University Press, [2020]
Colección:Physics Notes ; 1
Temas:
Critical phenomena (Physics).
Renormalization group.
SCIENCE / Physics / General.
Anomalous dimension.
Asymptotic freedom.
Beta function.
Bose condensation.
Chemical potential.
Critical point.
Dimensional potential.
Euclidean field.
Fermi liquid.
Feynman graph.
Gaussian measure.
Generating functional.
Grassmannian variable.
Hadamard inequality.
Infrared problem.
Irrelevant part.
Kernel.
Landau-Ginsburg model.
Localization operator.
Marginal operator.
Normal critical behavior.
Propagator matrix.
Propagator.
Renormalizable theory.
Schwinger function.
Superfluid behavior.
Tree formalism.
Ultraviolet problem.
Wick monomial.
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Tabla de Contenidos:
  • 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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