The Theory of Critical Phenomena

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.

ISBN 0198513941   DEWEY edition DC20 ISBN13 9780198513940 (What's this?)   Pages 476 Publisher Oxford University Press   Weight (grammes) 1051 Imprint Clarendon Press   Published in Oxford Format Hardback   Series title Oxford Science Publications Publication date 11 Jun 1992   Height (mm) 235 Non-book description xii, 464 p. :   Width (mm) 155 Library of Congress QC20.7.R43   Spine width (mm) 36 DEWEY 530.12   Academic level Postgraduate

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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