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Correlation-function identities and inequalities for Ising models with pair interactions

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Abstract

For Ising models with pair interactions in zero magnetic field a class of linear combinations of products of two correlation functions is studied. We derive sufficient and necessary conditions under which a function in this class is (a) zero for all values of the coupling parameters, or (b) nonnegative for all nonnegative values of the coupling parameters. Examples of correlation-function identities and inequalities of this type are given.

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Authors and Affiliations

  1. Instituut-Lorentz voor Theoretische Natuurkunde, Rijksuniversiteit Leiden, Leiden, The Netherlands

    R. J. Boel & P. W. Kasteleyn

Authors
  1. R. J. Boel
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  2. P. W. Kasteleyn
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Communicated by E. Lieb

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Boel, R.J., Kasteleyn, P.W. Correlation-function identities and inequalities for Ising models with pair interactions. Commun.Math. Phys. 61, 191–208 (1978). https://doi.org/10.1007/BF01940764

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  • DOI: https://doi.org/10.1007/BF01940764

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