Statistical Field Theory: An Introduction to Exactly Solved Models in Statistical Physics

Hardcover | September 13, 2009

byGiuseppe Mussardo

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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 symmetrybreaking, 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-containedbook 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 cleardiscussion 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 isprovided 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 comprehensivelearning of the many facets of the subject.

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From the Publisher

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 symmetrybreaking, scaling transformations, conformal...

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: Statisti...
Format:HardcoverDimensions:672 pages, 9.69 × 6.73 × 0.98 inPublished:September 13, 2009Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0199547580

ISBN - 13:9780199547586

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Table of Contents

Part I: Introductory Notions1. Introduction2. One-dimensional systems3. Approximate solutionsPart II: Bidimensional lattice models4. Duality of two-dimensional Ising model5. Combinatorial solutions of the Ising model6. Transfer matrix of the two-dimensional Ising modelPart III: Quantum field theory and conformal variance7. Quantum field theory8. Renormalization group9. Fermionic formulation of the Ising model10. Conformal field theory11. Minimal conformal models12. Conformal field theory of free Bosonic and Fermionic fields13. Conformal field theories with extended symmetries14. The arena of conformal modelsPart IV: Away from criticality15. In the vicinity of the critical points16. Integrable quantum field theories17. S-matrix theory18. Exact S-matrices19. Thermodynamics Bethe Ansatz20. Form factors and correlation functions21. Non-integrable aspects

Editorial Reviews

"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 surethis book will become a most useful and successful text for graduate students and researchers." --Hubert Saleur, University of Southern California