The Theory of critical phenomena : an introduction to the renormalization group

Author(s)

Bibliographic Information

The Theory of critical phenomena : an introduction to the renormalization group

J.J. Binney ... [et al.]

（Oxford science publications）

Clarendon Press , Oxford University Press, 1992

  • : hbk
  • : pbk

Available at  / 65 libraries

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Note

Includes bibliographical references (p. [448]-452) and index

Description and Table of Contents

Volume

: pbk ISBN 9780198513933

Description

The successful calculation of critical exponents for continuous phase transitions is one of the main achievements of theoretical physics over the last quarter-century. This was achieved through the use of scaling and field-theoretic techniques which have since become standard equipment in many areas of physics, especially quantum field theory. This book provides a thorough introduction to these techniques. Continuous phase transitions are introduced, then the necessary statistical mechanics is summarized, followed by standard models, some exact solutions and techniques for numerical simulations. The real-space renormalization group and mean-field theory are then explained and illustrated. The final chapters cover the Landau-Ginzburg model, from physical motivation, through diagrammatic perturbation theory and renormalization to the renormalization group and the calculation of critical exponents above and below the critical temperature.

Table of Contents

  • Introduction
  • Statistical mechanics
  • Models
  • Numerical simulations
  • Real-space renormalization
  • Mean-field theory
  • The Landau-Ginzburg model
  • Diagrammatic perturbation theory
  • Renormalization
  • The calculation of critical exponents for T>TC
  • The renormalization group
  • The renormalization group at T/=c
  • The lower critical dimension
  • Universality
  • Appendices
Volume

: hbk ISBN 9780198513940

Description

The successful calculation of critical exponents for continuous phase transitions is one of the main achievements of theoretical physics over the last quarter-century. This was achieved through the use of scaling and field-theoretic techniques which have since become standard equipment in many areas of physics, especially quantum field theory. This book provides an introduction to these techniques. Continuous phase transitions are introduced, then the necessary statistical mechanics is summarized, followed by standard models, some exact solutions and techniques for numerical simulations. The real-space renormalization group and mean-field theory are then explained and illustrated. The final chapters cover the Landau-Ginzburg model, from physical motivation, through diagrammatic perturbation theory and renormalization to the renormalization group and the calculation of critical exponents above and below the critical temperature.

Table of Contents

  • Statistical mechanics
  • Models
  • Numerical simulations
  • Real-space renormalization
  • Mean-field theory
  • The Landau-Ginzburg model
  • Diagrammatic perturbation theory
  • Renormalization
  • The calculation of critical exponents for T>T C
  • The renormalization group
  • The renormalization group at T/=T c
  • The lower critical dimension
  • Universality.

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