Field Theory, The Renormalization Group, And Critical Phenomena: Graphs To Computers (3rd Edition)

AvDaniel J Amit,Victor Martin-mayor

Häftad, Engelska, 2005

712 kr

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Beskrivning

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. Non-perturbative methods and numerical simulations are introduced in this new edition. Abundant references to research literature complement this matter-of-fact approach. 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.The following new chapters are included:I. Real Space MethodsII. Finite Size ScalingIII. Monte Carlo Methods. Numerical Field Theory

Produktinformation

Utgivningsdatum:2005-06-26
Mått:270 x 236 x 33 mm
Vikt:878 g
Format:Häftad
Språk:Engelska
Antal sidor:568
Upplaga:3
Förlag:World Scientific Publishing Co Pte Ltd
ISBN:9789812561190

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Recensioner i media

"Recommended as the core text for any introductory course on field theory." American Scientists (USA) "There are only very few textbooks on the intermediate level, and the first edition of Amit's work has been a very useful one. The second edition with a detailed exposition on finite size scaling, universality and the critical behavior with several coupling constants promises to be a valuable tool in the library of many physicists." Journal of Applied Mathematics and Physics, Switzerland

Innehållsförteckning

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; Real Space Methods; Finite Size Scaling; Monte Carlo Methods. Numerical Field Theory.