Palmer Planar Ising Correlations

1. Auflage 2007
ISBN: 978-0-8176-4620-2
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 49, 384 Seiten, eBook

Reihe: Progress in Mathematical Physics

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.

Zielgruppe

Research

Autoren/Hrsg.

Palmer, John

Inhaltsverzeichnis

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.