J. J. Binney, N. J. Dowrick, A. J. Fisher, M. E. J. Newman

The Theory of Critical Phenomena (eBook, PDF)

An Introduction to the Renormalization Group

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Oxford University Press
• Erscheinungstermin: 11. Juni 1992
• Englisch
• ISBN-13: 9780191660566
• Artikelnr.: 39606026

Inhaltsangabe

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