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OverviewThis book is unique in occupying a gap between standard undergraduate texts and more advanced texts on quantum field theory. It covers a range of renormalization methods with a clear physical interpretation (and motivation), including mean-field theories and high-temperature and low-density expansions. It then proceeds by easy steps to the famous epsilon-expansion, ending up with the first-order corrections to critical exponents beyond mean-field theory. Nowadays there is widespread interest in applications of renormalization methods to various topics ranging over soft condensed matter, engineering dynamics, traffic queueing and fluctuations in the stock market. Hence macroscopic systems are also included, with particular emphasis on the archetypal problem of fluid turbulence. The book is also unique in making this material accessible to readers other than theoretical physicists, as it requires only the basic physics and mathematics which should be known to most scientists, engineers and mathematicians. Full Product DetailsAuthor: William David McComb (, School of Physics, University of Edinburgh, UK)Publisher: Oxford University Press Imprint: Oxford University Press Dimensions: Width: 17.30cm , Height: 2.30cm , Length: 24.80cm Weight: 0.764kg ISBN: 9780198506942ISBN 10: 0198506945 Pages: 348 Publication Date: 11 December 2003 Audience: College/higher education , Undergraduate Format: Hardback Publisher's Status: Active Availability: To order  Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of ContentsWhat is renormalization? 1: The bedrock problem: why we need renormalization methods 2: Easy applications of renormalization group (RG) to simple models 3: Mean-field theories for simple models Renormalized perturbation theories (RPT) 4: Perturbation theory using a control parameter 5: Classical nonlinear systems driven by random noise 6: Application of RPT to turbulence and related problems Renormalization group 7: Setting the scene: critical phenomena 8: Real-space RG 9: Momentum-space RG 10: Field-theoretic RG 11: Dynamical RG applied to classical nonlinear systems Appendices A: Statistical ensembles B: From statistical mechanics to thermodynamics C: Exact solutions in one and two dimensions D: Quantum treatment of the Hamiltonian N-body assembly E: Generalization of the Bogoliubov variational method to a spatially-varying magnetic fieldReviewsRenormalization Methods should be an excellent source of material for anyone who plans to lead advanced undergradutes and first-year graduate students beyond the standard course material toward current research topics. I shall certainly keep the book in close reach when preparing for my classes. Physics Today I think this book is the best introductory textbook on techniques of renormalization available. It will be a delight to read for anyone who is encountering the topic for the first time and is wishing to exploit the methods to pass an exam or in one's field Contemporary Physics this volume does have a fresh aspect to it, perhaps because of the author's background in fluid dynamics and turbulence theory the book should at least find a place on most library reference shelves. Journal of Physics A: Mathematics and General All in all, the author succeeds in what he sets out to do, and the somewhat unusual emphasis on fluid flow problems makes this an interesting read. Theoretical Physics Book Reviews One can hope that this book will stimulate interest in bringing the theories of nonlinear dissipative systems up to the level of understanding of the familiar and largely solved problems of conservative statistical physics. The Journal of Fluid Mechanics, 30/09/2004 Requiring only the basic physics and mathematics known to most scientists and engineers, the material should be accessible to readers other then theoretical physicists. CERN Courier, 05/08/2004 'Renormalization Methods should be an excellent source of material for anyone who plans to lead advanced undergradutes and first-year graduate students beyond the standard course material toward current research topics. I shall certainly keep the book in close reach when preparing for my classes. Physics Today 'I think this book is the best introductory textbook on techniques of renormalization available. It will be a delight to read for anyone who is encountering the topic for the first time and is wishing to exploit the methods to pass an exam or in one's field'.Contemporary Physics 'this volume does have a fresh aspect to it, perhaps because of the author's background in fluid dynamics and turbulence theory the book should at least find a place on most library reference shelves.'Journal of Physics A: Mathematics and General 'All in all, the author succeeds in what he sets out to do, and the somewhat unusual emphasis on fluid flow problems makes this an interesting read.'Theoretical Physics Book Reviews One can hope that this book will stimulate interest in bringing the theories of nonlinear dissipative systems up to the level of understanding of the familiar and largely solved problems of conservative statistical physics. The Journal of Fluid Mechanics 30/09/2004 Requiring only the basic physics and mathematics known to most scientists and engineers, the material should be accessible to readers other then theoretical physicists. CERN Courier 05/08/2004 Author InformationWilliam David McComb is currently Professor of Statistical Physics at the University of Edinburgh. He was Senior Scientific Officer of the Theoretical Physics Division, Atomic Energy Research Establishment, Harwell in the years 1969-71. Tab Content 6Author Website:Countries AvailableAll regions |
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