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E-book
Author Palmer, John, 1948 June 23-

Title Planar Ising correlations / John Palmer
Published Boston : Birkhäuser, ©2007

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Description 1 online resource (xx, 363 pages) : illustrations
Series Progress in mathematical physics ; v. 49
Progress in mathematical physics ; v. 49.
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
Summary This book examines in detail the correlations for the two-dimensional Ising model in the infinite volume or thermodynamic limit and the sub- and super-critical continuum scaling limits. 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. This self-contained work also includes discussions on Pfaffians, elliptic uniformization, the Grassmann calculus for spin representations, Weiner--Hopf factorization, determinant bundles, and monodromy preserving deformations. This work explores the Ising model as a microcosm of the confluence of interesting ideas in mathematics and physics, and will appeal to graduate students, mathematicians, and physicists interested in the mathematics of statistical mechanics and quantum field theory
Bibliography Includes bibliographical references (pages 345-356)
Notes Print version record
In Springer eBooks
Subject Ising model.
Scaling laws (Statistical physics)
Mathematics.
Mathematics
Ising model
Scaling laws (Statistical physics)
Form Electronic book
ISBN 9780817646202
0817646205
9780817642488
081764248X