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Statistical Field Theory: An Introduction to Exactly Solved Models in Statistical Physics | Oxford University Press, USA | 2009-11-02 | ISBN: 0199547580 | 778 pages | PDF |

This book provides a thorough introduction to the fascinating world of phase transitions as well as many related topics, including random walks, combinatorial problems, quantum field theory and S-matrix. Fundamental concepts of phase transitions, such as order parameters, spontaneous symmetry breaking, scaling transformations, conformal symmetry, and anomalous dimensions, have deeply changed the modern vision of many areas of physics, leading to remarkable developments in statistical mechanics, elementary particle theory, condensed matter physics and string theory. This self-contained book provides an excellent introduction to frontier topics of exactly solved models in statistical mechanics and quantum field theory, renormalization group, conformal models, quantum integrable systems, duality, elastic S-matrix, thermodynamics Bethe ansatz and form factor theory. The clear discussion of physical principles is accompanied by a detailed analysis of several branches of mathematics, distinguished for their elegance and beauty, such as infinite dimensional algebras, conformal mappings, integral equations or modular functions. Besides advanced research themes, the book also covers many basic topics in statistical mechanics, quantum field theory and theoretical physics. Each argument is discussed in great detail, paying attention to an overall coherent understanding of physical phenomena. Mathematical background is provided in supplements at the end of each chapter, when appropriate. The chapters are also followed by problems of different levels of difficulty. Advanced undergraduate and graduate students will find a rich and challenging source for improving their skills and for accomplishing a comprehensive learning of the many facets of the subject.

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“The author is an excellent physicist who has contributed very significantly to the field, and has always shown a passion for pedagogy. He is one of a handful of people who look beyond formal theory and think in terms of physics, always trying to push the boundaries of our knowledge. I am sure this book will become a most useful and successful text for graduate students and researchers.” –Hubert Saleur, University of Southern California

“The book is well suited to provide access into this fascinating field of research and at the same time leads its readers all the way to the forefront of present research. It will provide a solid basis as a textbook for an advanced course in statistical physics, giving the lecturer an ample choice of topics supplemented by problem sets and references to the original literature.” –Holger Frahm, Leibniz University, Hannover

“There has been dramatic progress over the last two decades in our understanding of off-critical systems in two dimensions. At present there is no book that explains these developments, which here are tied into the larger framework of statistical mechanics in two dimensions, an area that continues to attract tremendous attention.” –Fabian Essler, Oxford University

Giuseppe Mussardo has been Professor of Theoretical Physics at the International School for Advanced Studies (ISAS) in Trieste since 2000, and was Deputy Director of ISAS 2001-2004. He is Head of the Statistical Physics group at ISAS and Coodinator of the European Science Foundation grant INSTANS. He edits Nuclear Physics B: Statistical Mechanics and Field Theory, and JSTAT.

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