Planar Ising Correlations
Steady progress in recent years has been made in understanding the special mathematical features of certain exactly solvable models in statistical mechanics and quantum field theory, including the scaling limits of the 2-D Ising (lattice) model, and more generally, a class of 2-D quantum fields known as holonomic fields. New results have made it possible to obtain a detailed nonperturbative analysis of the multi-spin correlations. In particular, the book focuses on deformation analysis of the scaling functions of the Ising model, and will appeal to graduate students, mathematicians, and physicists interested in the mathematics of statistical mechanics and quantum field theory.

1007128887
Planar Ising Correlations
Steady progress in recent years has been made in understanding the special mathematical features of certain exactly solvable models in statistical mechanics and quantum field theory, including the scaling limits of the 2-D Ising (lattice) model, and more generally, a class of 2-D quantum fields known as holonomic fields. New results have made it possible to obtain a detailed nonperturbative analysis of the multi-spin correlations. In particular, the book focuses on deformation analysis of the scaling functions of the Ising model, and will appeal to graduate students, mathematicians, and physicists interested in the mathematics of statistical mechanics and quantum field theory.

54.99 In Stock
Planar Ising Correlations

Planar Ising Correlations

by John Palmer
Planar Ising Correlations

Planar Ising Correlations

by John Palmer

Hardcover(2007)

$54.99 
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Overview

Steady progress in recent years has been made in understanding the special mathematical features of certain exactly solvable models in statistical mechanics and quantum field theory, including the scaling limits of the 2-D Ising (lattice) model, and more generally, a class of 2-D quantum fields known as holonomic fields. New results have made it possible to obtain a detailed nonperturbative analysis of the multi-spin correlations. In particular, the book focuses on deformation analysis of the scaling functions of the Ising model, and will appeal to graduate students, mathematicians, and physicists interested in the mathematics of statistical mechanics and quantum field theory.


Product Details

ISBN-13: 9780817642488
Publisher: Birkhäuser Boston
Publication date: 07/27/2007
Series: Progress in Mathematical Physics , #49
Edition description: 2007
Pages: 372
Product dimensions: 6.10(w) x 9.25(h) x 0.04(d)

Table of Contents

The Thermodynamic Limit.- The Spontaneous Magnetization and Two-Point Spin Correlation.- Scaling Limits.- The One-Point Green Function.- Scaling Functions as Tau Functions.- Deformation Analysis of Tau Functions.
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