Correlation function of the two-dimensional Ising model on a finite lattice. II
Exactly Solvable and Integrable Systems
2011-11-10 v1 Statistical Mechanics
High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We calculate the two-point correlation function and magnetic susceptibility in the anisotropic 2D Ising model on a lattice with one infinite and the other finite dimension, along which periodic boundary conditions are imposed. Using exact expressions for a part of lattice form factors, we propose the formulas for arbitrary spin matrix elements, thus providing a possibility to compute all multipoint correlation functions in the anisotropic Ising model on cylindrical and toroidal lattices. The scaling limit of the corresponding expressions is also analyzed.
Keywords
Cite
@article{arxiv.0708.3643,
title = {Correlation function of the two-dimensional Ising model on a finite lattice. II},
author = {A. I. Bugrij and O. Lisovyy},
journal= {arXiv preprint arXiv:0708.3643},
year = {2011}
}
Comments
16 pages, no figures; old paper (2003) posted for archival purposes; some inaccuracies in the journal translation and a misprint in the formula (44) corrected