The boundary disorder correlation for the Ising model on a cylinder
Statistical Mechanics
2025-02-19 v3 Mathematical Physics
math.MP
Abstract
I give an expression for the correlation function of disorder insertions on the edges of the critical Ising model on a cylinder as a function of the aspect ratio (rescaled in the case of anisotropic couplings). This is obtained from an expression for the finite size scaling term in the free energy on a cylinder in periodic and antiperiodic boundary conditions in terms of Jacobi theta functions.
Keywords
Cite
@article{arxiv.2407.03100,
title = {The boundary disorder correlation for the Ising model on a cylinder},
author = {Rafael Leon Greenblatt},
journal= {arXiv preprint arXiv:2407.03100},
year = {2025}
}
Comments
11 pages, 1 figure; significant revisions and corrections