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Analyticity of correlation functions for the two-dimensional Ising model

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Abstract

Analyticity of correlation functions for the two-dimensional Ising model as a function of the inverse temperature except for the singularity at the critical temperature is proved. A crucial step is the establishment of the correspondence between extremal equilibrium states of the model and pure ground states of a one-dimensional spin system below the critical temperatureT c . An exact decay rate of the clustering property along axes is also determined for allT≠T c .

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  1. Research Institute for Mathematical Sciences, Kyoto University, 606, Kyoto, Japan

    Huzihiro Araki

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  1. Huzihiro Araki
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Communicated by H. Araki

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Araki, H. Analyticity of correlation functions for the two-dimensional Ising model. Commun.Math. Phys. 106, 241–266 (1986). https://doi.org/10.1007/BF01454974

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  • DOI: https://doi.org/10.1007/BF01454974

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