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Analytical properties of the anisotropic cubic Ising model
Authors:D Hansel  J M Maillard  J Oitmaa  M J Velgakis
Institution:(1) Centre de Physique Théorique de l'Ecole Polytechnique, Groupe de recherche du CNRS, 91128 Palaiseau, France;(2) LPTHE, 75230 Paris, France;(3) School of Physics, University of New South Wales, 2033 Kensington, NSW, Australia
Abstract:We combine an exact functional relation, the inversion relation, with conventional high-temperature expansions to explore the analytic properties of the anisotropic Ising model on both the square and simple cubic lattice. In particular, we investigate the nature of the singularities that occur in partially resummed expansions of the partition function and of the susceptibility.
Keywords:Lattice statistics  critical phenomena  Ising model  lattice anisotropy  high-temperature expansion  inversion relation  analytical properties
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