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Field Theory, The Renormalization Group And Critical Phenomena (Second Edition)

Field Theory, The Renormalization Group And Critical Phenomena (Second Edition) by D J Amit
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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. 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.

Contents: Pertinent Concepts and Ideas in the Theory of Critical Phenomena; Formulation of the Problem of Phase Transitions in Terms of Functional Integrals; Functional Integrals in Quantum Field Theory; Perturbation Theory and Feynman Graphs; Vertex Functions and Symmetry Breaking; Expansions in the Number of Loops and Components; Renormalization; The Renormalization Group and Scaling the Critical Region; The Computation of the Critical Exponents; Beyond Leading Scaling; Universality Revisited; Critical Behavior with Several Couplings; Crossover Phenomena; Critical Phenomena near Two Dimensions.

In the second edition, the following new chapters are included:

(I) Nonlinear Models Near Two Dimensions
(II) The Field Theoretic Study of the Kosterlitz-Thouless Transition in Two Dimensions
(III) First Order Transitions Induced by Fluctuations - the Coleman-Weinberg Mechanism

Readership: Condensed matter physicists.

World Scientific Publishing Company; Read online
Title: Field Theory, The Renormalization Group And Critical Phenomena (Second Edition)
Author: D J Amit
 
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