Analytical properties of the anisotropic cubic Ising model |
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| Authors: | D. Hansel J. M. Maillard J. Oitmaa M. J. Velgakis |
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| Affiliation: | (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 |
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| 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. |
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| Keywords: | Lattice statistics critical phenomena Ising model lattice anisotropy high-temperature expansion inversion relation analytical properties |
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