On the diagonal susceptibility of the 2D Ising model

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.

13 pages. Version 2 adds some additional references. Version 3 corrects some minor misprints

References in corpus (1)

• The diagonal Ising susceptibility

Cited by in corpus (2)

• Natural Boundary for a Sum Involving Toeplitz Determinants
• On the Singularities in the Susceptibility Expansion for the Two-Dimensional Ising Model