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Geometric expansion of the log-partition function of the anisotropic Heisenberg model

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.

preprint2015arXivOpen access
Daniel GandolfoSuren PoghosyanJean Ruiz
math-phmath.MP
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Daniel GandolfoSuren PoghosyanJean Ruiz

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