Non-linear partial difference equations for the two-spin correlation function of the two-dimensional Ising model |
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| Authors: | Barry M McCoy |
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| Institution: | 1. Université d''Aix-Marseille II, Faculté des Sciences de Luminy, Centre de Physique Théorique, Section II, CNRS, Marseille, France;2. Gordon McKay Laboratory, Harvard University, Cambridge, Massachusetts, USA;3. Institute for Theoretical Physics, State University of New York, Stony Brook, New York, USA |
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| Abstract: | For all temperatures, the two-point function of the two-dimensional Ising model is shown to be expressible in terms of the solution of a non-linear partial difference equation on the lattice. From this difference equation, the known results for the two-point function of the Ising field theory are regained by taking the scaling limit. |
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