Upper bound on the decay of correlations in a general class of O(N)-symmetric models

2013/09/30 by Maxime Gagnebin, Yvan Velenik · 1 citation
Mathematics · Physics and Astronomy · #math.PR #math-ph #math.MP

paper · pdf · doi:10.1007/s00220-014-2075-0

published as Commun. Math. Phys. 332, 1235-1255 (2014) · Version accepted for publication in Commun. Math. Phys

arxiv created 2013/12/13 · arxiv updated 2014/10/22

Abstract

We consider a general class of two-dimensional spin systems, with continuous but not necessarily smooth, possibly long-range, O(N)-symmetric interactions, for which we establish algebraically decaying upper bounds on spin-spin correlations under all infinite-volume Gibbs measures. As a by-product, we also obtain estimates on the effective resistance of a (possibly long-range) resistor network in which randomly selected edges are shorted.

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