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Statistical field theory : an introduction to exactly solved models in statistical physics /

by Mussardo, G. (Giuseppe) [aut].
Material type: materialTypeLabelBookSeries: Oxford graduate texts: Publisher: Oxford ; New York : Oxford University Press, 2010Description: xxii, 755 p. : ill. ; 26 cm.ISBN: 9780199547586 (hardback); 0199547580 (hardback).Subject(s): Field theory (Physics) -- Statistical methods
Contents:
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.
Summary: 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 instatistical mechanics, elementary particle theory, condensed matter physics and string theory.
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530.143 M9891 (Browse shelf) Available

Includes bibliographical references and index.

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.

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 instatistical mechanics, elementary particle theory, condensed matter physics and string theory.