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.

lgli/Giuseppe Mussardo;Statistical Field Theory An Introduction to Exactly Solved Models in Statistical Physics;;;Oxford University Press, USA;2009;0199547580;;English

lgrsnf/Giuseppe Mussardo;Statistical Field Theory An Introduction to Exactly Solved Models in Statistical Physics;;;Oxford University Press, USA;2009;0199547580;;English

Mussardo, Giuseppe

IRL Press at Oxford University Press

Oxford Institute for Energy Studies

German Historical Institute London

OUP Oxford

Oxford graduate texts, Oxford, New York, England, 2010

United Kingdom and Ireland, United Kingdom

Oxford University Press USA, Oxford, 2010

1, PS, 2009

lg1513581

{"isbns":["0199547580","9780199547586"],"last_page":778,"publisher":"Oxford University Press","series":"Oxford Graduate Texts"}

Includes bibliographical references and index.

"This book provides a thorough introduction to the world of phase transitions as well as related topics; including random walks, combinatorial problems, quantum field theory, and S-matrix. Fundamental concepts of phase transition 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 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."--BOOK JACKET

A Thorough And Pedagogical Introduction To Phase Transitions And Exactly Solved Models In Statistical Physics And Quantum Field Theory. One-dimensional Systems -- Approximate Solutions -- Duality Of The Two-dimensional Ising Model -- Combinatorial Solutions Of The Ising Model -- Transfer Matrix Of The Two-dimensional Ising Model -- Quantum Field Theory -- Renormalization Group -- Fermionic Formulation Of The Ising Model -- Conformal Field Theory -- Minimal Conformal Models -- Conformal Field Theory Of Free Bosonic And Fermionic Fields -- Conformal Field Theories With Extended Symmetries -- The Arena Of Conformal Models -- In The Vicinity Of The Critical Points -- Integrable Quantum Field Theories -- S-matrix Theory -- Exact S-matrices -- Thermodynamical Bethe Ansatz -- Form Factors And Correlation Functions -- Non-integrable Aspects. Giuseppe Mussardo. Includes Bibliographical References And Index.

2016-06-09