Item description for Field Theory, the Renormalization Group, And Critical Phenomena: Graphs To Computers by Daniel J. Amit & Victor Martin-mayor...
This volume links field theory methods and concepts from particle physics with those in critical phenomena and statistical mechanics, the development starting from the latter point of view. Rigor and lengthy proofs are trimmed by using the phenomenological framework of graphs, power counting, etc., and field theoretic methods with emphasis on renormalization group techniques. Non-perturbative methods and numerical simulations are introduced in this new edition. Abundant references to research literature complement this matter-of-fact approach. The book introduces quantum field theory to those already grounded in the concepts of statistical mechanics and advanced quantum theory, with sufficient exercises in each chapter for use as a textbook in a one-semester graduate course.
The following new chapters are included:
I. Real Space Methods II. Finite Size Scaling III. Monte Carlo Methods. Numerical Field Theory
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Studio: World Scientific Publishing Company
Est. Packaging Dimensions: Length: 1.5" Width: 6.25" Height: 9.25" Weight: 2.18 lbs.
Publisher World Scientific Publishing Company
ISBN 9812561099 ISBN13 9789812561091
Availability 0 units.
More About Daniel J. Amit & Victor Martin-mayor
Amit is a Professor at the Racah Institute of Physics, Hebrew University, Jerusalem.
Reviews - What do customers think about Field Theory, the Renormalization Group, And Critical Phenomena: Graphs To Computers?
Highly recommended introduction to quantum field theory with a statistical physics flavour May 26, 2007
This book presents in a logical and consistent way the material that every budding condensed matter theorist should know on field theory before engaging in serious research. Within the first seven chapters, the authors derive the key results in euclidian field theory and lay the basis for further developments in renormalization theory and critical phenomena. That part of the book is almost self-contained and could serve as an alternative to the traditionally particle-physics oriented field theory course. Chapter 8 introduces properly the core concepts of any book on the subject, namely the renormalization group and critical phenomena. Once more, every technicalities are derived and no prior acquaintance to field theory is required (unlike in books like Itzykson & Drouffe two volumes). The major techniques, such as dimensional regularization, are nicely exposed. A salient point for using this course as a first introduction to quantum field theory would be that students would have a better feeling on the true meaning of renormalization and scale invariance than if those were presented in a particle physics context. Part II of this book exposes more specialized topics. The Coleman-Weinberg phenomenon and critical behaviour with several coupling constants are well presented. Crossover phenomena, critical phenomena in two dimensions have their respective chapters, too. Part III begins with real space renormalization methods ; here the presentation is a bit too formal, and returning to books like the one by Nigel Goldenfeld would improve the reader's appreciation of those methods. The book ends with some numerical recipes used in statistical field theory. Sample programs can be downloaded on a dedicated webpage. In short, an excellent, comprehensive, highly recommended textbook and reference work.
intresting Mar 29, 2000
It was very interisting but you had to pay full attention to what was going on. I like that in a book. You kept wanting to find out more and more but the plot wasn't all that great. If your the silent type i think that you should read it.