Critical properties of [phi] 4-theories

This book explains in detail how to perform perturbation expansions in quantum field theory to high orders, and how to extract the critical properties of the theory from the resulting divergent power series. These properties are calculated for various second-order phase transitions of three-dimensio...

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Detalhes bibliográficos
Autor principal: Kleinert, Hagen
Formato: Livro
Idioma:Undetermined
Publicado em: River Edge, NJ World Scientific 2001
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Thư viện lưu trữ: Trung tâm Học liệu Trường Đại học Cần Thơ
Descrição
Resumo:This book explains in detail how to perform perturbation expansions in quantum field theory to high orders, and how to extract the critical properties of the theory from the resulting divergent power series. These properties are calculated for various second-order phase transitions of three-dimensional systems with high accuracy, in particular the critical exponents observable in experiments close to the phase transition.Beginning with an introduction to critical phenomena, this book develops the functional-integral description of quantum field theories, their perturbation expansions, and a method for finding recursively all Feynman diagrams to any order in the coupling strength. Algebraic computer programs are supplied on accompanying World Wide Web pages. The diagrams correspond to integrals in momentum space.