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Field Theory Renormalization Groupnd Critical Phenomena: Graphs to Computers (3rd Edition) Book

Field Theory Renormalization Groupnd Critical Phenomena: Graphs to Computers (3rd Edition)
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Field Theory Renormalization Groupnd Critical Phenomena: Graphs to Computers (3rd Edition), , Field Theory Renormalization Groupnd Critical Phenomena: Graphs to Computers (3rd Edition)
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  • Field Theory Renormalization Groupnd Critical Phenomena: Graphs to Computers (3rd Edition)
  • Written by author Daniel J. Amit
  • Published by World Scientific Publishing Company, Incorporated, July 2005
  • 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 phenomenologica
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Pt. IBasic ideas and techniques
1Pertinent concepts and ideas in the theory of critical phenomena3
2Formulation of the problem of phase transitions in terms of functional integrals11
3Functional integrals in quantum field theory33
4Perturbation theory and Feynman graphs53
5Vertex functions and symmetry breaking80
6Expansions in the number of loops and in the number of components103
7Renormalization147
8The renormalization group and scaling in the critical region189
9The computation of the critical exponents228
Pt. IIFurther applications and developments
1Introduction273
2Beyond leading scaling275
3Universality revisited310
4Critical behavior with several couplings323
5Crossover phenomena342
6Critical phenomena near two dimensions364
Pt. IIINonperturbative and numerical methods
1Real space methods385
2Finite size scaling446
3Monte Carlo methods : numerical field theory486


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