Nonlinear differential equations for the correlation functions of the 2D Ising model on the cylinder
High Energy Physics - Theory
2007-08-28 v2 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We derive determinant representations and nonlinear differential equations for the scaled 2-point functions of the 2D Ising model on the cylinder. These equations generalize well-known results for the infinite lattice (Painlev\'e III equation and the equation for the -function of Painlev\'e V).
Cite
@article{arxiv.hep-th/0108015,
title = {Nonlinear differential equations for the correlation functions of the 2D Ising model on the cylinder},
author = {O. Lisovyy},
journal= {arXiv preprint arXiv:hep-th/0108015},
year = {2007}
}
Comments
12 pages, published version (references and comment on boundary conditions added)