On the diagonal susceptibility of the 2D Ising model
Mathematical Physics
2013-12-11 v3 math.MP
Abstract
We consider the diagonal susceptibility of the isotropic 2D Ising model for temperatures below the critical temperature. For a parameter k related to temperature and the interaction constant, we extend the diagonal susceptibility to complex k inside the unit disc, and prove the conjecture that the unit circle is a natural boundary.
Keywords
Cite
@article{arxiv.1307.5913,
title = {On the diagonal susceptibility of the 2D Ising model},
author = {Craig A. Tracy and Harold Widom},
journal= {arXiv preprint arXiv:1307.5913},
year = {2013}
}
Comments
13 pages. Version 2 adds some additional references. Version 3 corrects some minor misprints