The Theory of Critical Phenomena: An Introduction to the Renormalization Group

Paperback | June 1, 1992

byJ. J. Binney, N. J. Dowrick, A. J. Fisher

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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 manyareas 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 andmean-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 criticaltemperature.

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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 manyareas of physics, especially quantum field ...

J. J. Binney is at Oxford University.

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Format:PaperbackDimensions:476 pages, 9.21 × 6.14 × 1.06 inPublished:June 1, 1992Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:0198513933

ISBN - 13:9780198513933

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`The book is written very clearly and simply, which makes it accessible to anyone who passed the principal undergraduate physics courses ... Teachers and students either teaching or studying phase transitions ... should find this book very useful together with a number of additional sources... young researchers working in the area of phase transitions will benefit from the detailed description of the renormalization group theory.'Journal of Statistical Physics, Vol. 73, Nos 1/2, 1993