Wednesday, July 24, 2013

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.
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