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

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Published in Communications in Mathematical Physics. 2013, vol. 332, no. 3, p. 1235-1255
Abstract We consider a general class of two-dimensional spin systems, with 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.
Keywords Spin systemscontinuous symmetrydecay of correlationsMcBryan-Spencer boundMermin-Wagner theoremResistor network
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arXiv: 1309.2432
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GAGNEBIN, Maxime Henri, VELENIK, Yvan Alain. Upper bound on the decay of correlations in a general class of O(N)-symmetric models. In: Communications in Mathematical Physics, 2013, vol. 332, n° 3, p. 1235-1255. https://archive-ouverte.unige.ch/unige:29644

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Deposited on : 2013-09-18

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