Random walk representations of the Heisenberg model |
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| Authors: | Joseph G. Conlon Jan Philip Solovej |
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| Affiliation: | (1) Department of Mathematics, University of Michigan, 48109 Ann Arbor, Michigan;(2) Department of Mathematics, University of Toronto, M5S 1A1 Toronto, Canada |
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| Abstract: | We develop random walk representations for the spin-S Heisenberg ferromagnet with nearest neighbor interactions. We show that the spin-S Heisenberg model is a diffusion with local times controlled by the spin-S Ising model. As a consequence, expectations for the Heisenberg model conditioned on zero diffusion are shown to be Ising expectations. |
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| Keywords: | Heisenberg model random walk Ising model |
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