1307.5913 (Craig A. Tracy et al.)

On the diagonal susceptibility of the 2D Ising model    [PDF]

Craig A. Tracy, Harold Widom

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.

View original: http://arxiv.org/abs/1307.5913