Existence of long-range order in the Migdal recursion equations |
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| Authors: | P. M. Bleher E. Žalys |
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| Affiliation: | (1) Institute of Applied Mathematics, Academy of Sciences, Moscow, USSR;(2) Institute of Mathematics and Cybernetics, Academy of Sciences of Lithuania SSR, SU-232600 Vilnius, USSR |
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| Abstract: | A modification of XY — model is introduced for which Migdal recursion equation are exact. High- and low-temperature fixed points of these equations are investigated. As a result the existence of long-range order at low temperature and its absence at high temperature are proved rigorously for the model under consideration in the case when dimensiond>2. |
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