Constructive Physics: Results in Field Theory, Statistical Mechanics and Condensed Matter Physics: Proceedings of the Conference Held at Palaiseau, France 25-27 July 1994

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Addressing graduate students and researchers in physics and mathematics, this book fills a gap in the literature. It is an introduction into modern constructive physics, field theory and statistical mechanics and a survey on the most recent research in this field. It presents the main technical tools such as cluster expansion and their implementation in the rigorous renormalization group, and studies physical models in some detail. The reader will find a study of the ultraviolet limit of the Gross-Neveu model, of...

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Heidelberg 1995 Hardcover First Edition Very Good. No Dj Ex Lib. 8vo. pp. viii 337."Addressing graduate students and researchers in physics and mathematics, this book fills a ... gap in the literature. It is an introduction into modern constructive physics, field theory and statistical mechanics and a survey on the most recent research in this field. It presents the main technical tools such as cluster expansion and their implementation in the rigorous renormalization group, and studies physical models in some detail. The reader will find a study of the ultraviolet limit of the Gross-Neveu model, of continuous symmetry breaking and of self-avoiding random walks in statistical mechanics, as well as applications to solid-state physics. Mathematicians will find constructive methods useful for studies in partial differential equations. ". Usual ex library marks. Read more Show Less

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1995 Hard cover shelf-aged NEW book with moderate cover wear. Sewn binding. Cloth over boards. 337 p. Lecture Notes in Computer Science, 446. Audience: General/trade.

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Overview

Addressing graduate students and researchers in physics and mathematics, this book fills a gap in the literature. It is an introduction into modern constructive physics, field theory and statistical mechanics and a survey on the most recent research in this field. It presents the main technical tools such as cluster expansion and their implementation in the rigorous renormalization group, and studies physical models in some detail. The reader will find a study of the ultraviolet limit of the Gross-Neveu model, of continuous symmetry breaking and of self-avoiding random walks in statistical mechanics, as well as applications to solid-state physics. Mathematicians will find constructive methods useful for studies in partial differential equations.

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Product Details

  • ISBN-13: 9783540591900
  • Publisher: Springer-Verlag New York, LLC
  • Publication date: 5/28/1995
  • Series: Lecture Notes in Physics
  • Pages: 337

Table of Contents

Some Questions for Constructive Field Theorists 1
Trees, Forests and Jungles: A Botanical Garden for Cluster Expansions 7
Weak Perturbations of the Massless Gaussian Measure 37
On Renormalization Group Flows and Polymer Algebras 51
Renormalizing Partial Differential Equations 83
Supersymmetric Quantum Field Theory 117
Equivalence of the Euclidean and Wightman Field Theories 131
Construction of the Gross-Neveu Model in Dimension 3 149
Mass Generation in a One-Dimensional Fermi Model 161
Mass Generation in the Large N Gross-Neveu Model 169
U1 Gauge Theory on a Torus 187
A Low Temperature Expansion and "Spin Wave Picture" for Classical N-Vector Models 201
Renormalization Group Approach to Zero Temperature Bose Condensation 219
Random and Interacting Surfaces 249
Fermi Liquids in Two-Space Dimensions 267
The Self-Avoiding Walk in Four Dimensions 301
Charge correlations for the Two-Dimensional Coulomb Gas 311
Weakly Self-Avoiding Polymers in Four Dimensions 327
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