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(Ebook) Field theory the renormalization group and critical phenomena graphs to computers 3rd Edition by Daniel J Amit, Victor Martin Mayor ISBN 9812561196 9789812561091

  • SKU: EBN-7191666
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Instant download (eBook) Field theory, the renormalization group, and critical phenomena : graphs to computers after payment.
Authors:Martin-Mayor, Victor; Amit, Daniel J.
Pages:543 pages.
Year:2006
Editon:3. ed., reprinted.
Publisher:World Scientific Publ.
Language:english
File Size:15.32 MB
Format:pdf
ISBNS:9789812561091, 9789812561190, 9812561099, 9812561196
Categories: Ebooks

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(Ebook) Field theory the renormalization group and critical phenomena graphs to computers 3rd Edition by Daniel J Amit, Victor Martin Mayor ISBN 9812561196 9789812561091

(Ebook) Field theory the renormalization group, and critical phenomena graphs to computers 1st Edition by Daniel J Amit, Victor Martin Mayor - Ebook PDF Instant Download/Delivery: 9812561196, 9789812561091
Full download (Ebook) Field theory the renormalization group, and critical phenomena graphs to computers 1st Edition after payment

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ISBN 10: 9812561196
ISBN 13: 9789812561091
Author: Daniel J Amit, Victor Martin Mayor

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

(Ebook) Field theory the renormalization group, and critical phenomena graphs to computers 1st Table of contents:

PART I: BASIC IDEAS AND TECHNIQUES

  1. Pertinent concepts and ideas in the theory of critical phenomena

  2. Formulation of the problem of phase transitions in terms of functional integrals

  3. Functional integrals in quantum field theory

  4. Perturbation theory and Feynman graphs

  5. Vertex functions and symmetry breaking

  6. Expansions in the number of loops and in the number of components

  7. Renormalization

  8. The renormalization group and scaling in the critical region

  9. The computation of the critical exponents

PART II: FURTHER APPLICATIONS AND DEVELOPMENTS

  1. Introduction

  2. Beyond leading scaling

  3. Universality revisited

  4. Critical behavior with several couplings

  5. Crossover phenomena

  6. Critical phenomena near two dimensions

PART III: NONPERTURBATIVE AND NUMERICAL METHODS

  1. Real space methods

  2. Finite size scaling

  3. Monte Carlo methods. Numerical Field theory

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Tags: Daniel J Amit, Victor Martin Mayor, Field theory, critical phenomena

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