Abstract
In unbounded spin systems at high temperature with two-body potential we prove, using the associated polymer model, that the two-point truncated correlation function decays exponentially (respectively with a power law) if the potential decays exponentially (respectively with a power law). We also give a new proof of the convergence of the Mayer series for the general polymer model.
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Communicated by E. Lieb
Supported by C.N.R. (G.N.F.M.)
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Cammarota, C. Decay of correlations for infinite range interactions in unbounded spin systems. Commun.Math. Phys. 85, 517–528 (1982). https://doi.org/10.1007/BF01403502
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DOI: https://doi.org/10.1007/BF01403502