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Deviation of Upper Bounds of Critical Temperature of Two-Dimensional O(N) Spin Models
Authors:Ito  K R  Tamura  H
Institution:(1) Department of Mathematics and Physics, Setsunan University, Ikeda-Naka, Neyagawa, 572, Japan;(2) Department of Mathematics, Faculty of Science, Kanazawa University, Kanazawa, 920-11, Japan
Abstract:Critical temperature of the classical O(N) spin model in two dimensions is investigated. We show that no phase transition exists in the system if the inverse temperature beta is less than betac=betac(N), where betac(N) is a constant such that betac(N) > const. N log N.
Keywords:spin model  determinant  polymer (N-1) expansion  
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