Deviation of Upper Bounds of Critical Temperature of Two-Dimensional O(N) Spin Models |
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Authors: | Ito K. R. Tamura H. |
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Affiliation: | (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 |
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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 is less than c=c(N), where c(N) is a constant such that c(N) > const. N log N. |
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Keywords: | spin model determinant polymer (N-1) expansion. |
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