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This text provides a thoroughly modern graduate-level introduction to the theory of critical behavior. Beginning with a brief review of phase transitions in simple systems and of mean field theory, the text then goes on to introduce the core ideas of the renormalization group. Following chapters cover phase diagrams, fixed points, cross-over behavior, finite-size scaling, perturbative renormalization methods, low-dimensional systems, surface critical behavior, random systems, percolation, polymer statistics, critical dynamics and conformal symmetry. The book closes with an appendix on Gaussian integration, a selected bibliography, and a detailed index. Many problems are included. The emphasis throughout is on providing an elementary and intuitive approach. In particular, the perturbative method introduced leads, among applications, to a simple derivation of the epsilon expansion in which all the actual calculations (at least to lowest order) reduce to simple counting, avoiding the need for Feynman diagrams.
- Sales Rank: #1337007 in Books
- Brand: Brand: Cambridge University Press
- Published on: 1996-04-26
- Original language: English
- Number of items: 1
- Dimensions: 8.98" h x .59" w x 5.98" l, .88 pounds
- Binding: Paperback
- 260 pages
- Used Book in Good Condition
Review
"Cardy has made significant contributions to almost all the topics covered in the second half of the book, and he has been one of the leaders in developing the use of conformal invariance in statistical mechanics....I think this challenging book will prove evry useful to those trying to learn the subject, provided that they take the time to read widely in the supplementary references." David Thouless, Physics Today
"The book may be advised for physics graduate students and for professionals who want to get an introduction to one of the most creative concepts of modern physics." Sergei A. Nemnyugin, Mathematical Reviews
About the Author
John Cardy is Senior Research Fellow at All Souls College, Oxford, and Professor of Physics at University of Oxford.
Peter Goddard, the long-time music and visual arts critic for the "Toronto Star", has hosted and contributed to numerous radio and television programs.The author of fifteen musical biographies, including books on Frank Sinatra, Bowie, Springsteen, and The Rolling Stones, Peter is also a composer and a musician himself, and has performed as a concert pianist and has also played in a variety of bands. He lives in Creemore, Ontario.
Most helpful customer reviews
8 of 8 people found the following review helpful.
Good but needs and equal amount of preparation
By TOE
This book deals with a most interesting and dynamical area of modern research in physics.
In the frontmatters, Cardy explains that, too often, in the past, students who were willing to go into research in condensed matter as quickly as possible, found a difficult time struggling and mastering techniques that were initially devised for particule physics.
K. Wilson built an arch between these two sub-fields of physics, through his Nobel-prize-worth insights.
However, as Cardy rightly points out, renormalization group methods can be more efficiently explained, learnt and applied by condensed matter, in a Feynman-diagram inspired presentation of the perturbative renormalization group. This subject then reduce to relatively simple combinatorics.
This is one of this book main contribution.
After explaining carefully scaling concepts and the various corresponding laws of critical phenomena, as well as field theory and Landau-Ginzburg theory, Cardy goes on to explain those from renormalization group methods.
The usual (exactly solved) statistical models appear at various parts of the book.
Welcome additions to the literature are chapters on random systems (those with impureties), polymer physics and critical dynamics.
A final chapter offers a primer on how conformal symmetry pops out at the critical point. This is a most active subject of current research in the field.
I should stress however that this book is meant for advanced students.
The typical student would have a background in phase transitions and statistical physics, as well as prior acquaintance with basic (quantum)field theory.
This book would probably be more profitably read with a more experienced student or a teacher at hand, for it is written in a rather condensed form and due to the vastness of the subject can hardly give an overview of it.
8 of 8 people found the following review helpful.
Excellent Introduction to Renormalization and Scaling
By Benjamin Phillabaum
I am a graduate student in condensed matter physics and I found this book to be an excellent introduction to the tools associated with the renormalization group idea. This book has a number of useful examples that are worked out in a fairly simple and straightforward way. In order to establish scaling relations this book uses some unit analysis on a hamiltonian density and builds from there.
The one downside is that this book focuses on lowest order perturbation and doesn't go into depth on diagrammatic approaches to renormalization ideas. Aside from this it is a great reference and many of my colleagues swear by it.
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