On equivalence of spin and field pictures of lattice systems |
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Authors: | Boguslav Zegarlinski |
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Institution: | (1) Department of Mathematics, RUHR Universität Bochum, 4630 Bochum 1, Federal Republic of Germany |
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Abstract: | We investigate the spin and field systems on a lattice connected by the Kac-Siegert transform. It is shown that the structures of corresponding theories are equivalent (in the sense of isomorphy of space of Gibbs states and order parameters). Using the idea of equivalence of spin and field pictures, we exhibit a class of lattice systems possessing infinitely uncountably many ground states. The systems of this type with infinite-range, slow-decaying interactions are expected to have a spin-glass phase transition. |
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Keywords: | Lattice spin systems random site long-range interactions Kac-Siegert transform Gibbs states order parameters ground states |
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