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Deviation of Upper Bounds of Critical Temperature of Two-Dimensional O(N) Spin Models

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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 β is less than βc=βc(N), where βc(N) is a constant such that βc(N) > const. N log N.

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Authors and Affiliations

  1. Department of Mathematics and Physics, Setsunan University, Ikeda-Naka, Neyagawa, 572, Japan

    K. R. Ito

  2. Department of Mathematics, Faculty of Science, Kanazawa University, Kanazawa, 920-11, Japan

    H. Tamura

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  1. K. R. Ito
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  2. H. Tamura
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Ito, K.R., Tamura, H. Deviation of Upper Bounds of Critical Temperature of Two-Dimensional O(N) Spin Models. Letters in Mathematical Physics 44, 339–348 (1998). https://doi.org/10.1023/A:1007491808611

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