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Title: On the diagonal susceptibility of the two-dimensional Ising model

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.
Authors:
 [1] ;  [2]
  1. Department of Mathematics, University of California, Davis, California 95616 (United States)
  2. Department of Mathematics, University of California, Santa Cruz, California 95064 (United States)
Publication Date:
OSTI Identifier:
22251755
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 54; Journal Issue: 12; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CRITICAL TEMPERATURE; INTERACTIONS; ISING MODEL; TWO-DIMENSIONAL CALCULATIONS