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.

List 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.

Summary

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

• Authors: J. Palmer, John Palmer
• Publisher: Springer, Basel
• Languages: English
• Product format: Hardback
• Released: 31.08.2007
• EAN: 9780817642488
• ISBN: 978-0-8176-4248-8
• No. of pages: 372
• Dimensions: 155 mm x 24 mm x 235 mm
• Weight: 725 g
• Illustrations: XII, 372 p. 30 illus.
• Series: Progress in Mathematical Physics; Progress in Mathematical Physics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Probability theory, stochastic theory, mathematical statistics; Non-fiction book > Nature, technology > Astronomy: general, reference works; B, Physics, Mathematics and Statistics, Applications of Mathematics, Complex systems, Theoretical, Mathematical and Computational Physics, Mathematical physics, Dynamical systems, Engineering mathematics, Applied mathematics, Mathematical Methods in Physics, Dynamics & statics, Statistical physics, Statistical Physics and Dynamical Systems