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Peierls condition and number of ground states |
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| Authors: | W. Holsztynski J. Slawny |
| Affiliation: | (1) Mathematics Department, The University of Western Ontario, London, Canada;(2) Institut de Physique Théorique, Université de Louvain, B-Louvain, Belgium;(3) Present address: Department of Mathematics, Rutgers University, 08903 New Brunswick, NJ, USA |
| Abstract: | Recently Pirogov and Sinai developped a theory of phase transitions in systems satisfying Peierls condition. We give a criterium for the Peierls condition to hold and apply it to several systems. In particular we prove that ferromagnetic system satisfies the Peierls condition iff its (internal) symmetry group is finite. And using an algebraic argument we show that in two dimensions the symmetry groups of reduced translation invariant systems is finite. |
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