%0 Journal Article
%T Geometric expansion of the log-partition function of the anisotropic Heisenberg model
%A Daniel Gandolfo
%A Suren Poghosyan
%A Jean Ruiz
%J Physics
%D 2015
%I arXiv
%R 10.1063/1.4931478
%X We study the asymptotic expansion of the log-partition function of the anisotropic Heisenberg model in a bounded domain as this domain is dilated to infinity. Using the Ginibre's representation of the anisotropic Heisenberg model as a gas of interacting trajectories of a compound Poisson process we find all the non-decreasing terms of this expansion. They are given explicitly in terms of functional integrals. As the main technical tool we use the cluster expansion method.
%U http://arxiv.org/abs/1503.08505v1