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

Gagnebin, Maxime Henri; Velenik, Yvan

doi:10.1007/s00220-014-2075-0

Scientific article

Review

English

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

ContributorsGagnebin, Maxime Henri; Velenik, Yvan

Published inCommunications in Mathematical Physics, vol. 332, no. 3, p. 1235-1255

Publication date2013

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 systems
continuous symmetry
decay of correlations
McBryan-Spencer bound
Mermin-Wagner theorem
Resistor network

Classification

arxiv : math.PR

Affiliation

Faculté des sciences / Section de mathématiques

Citation (ISO format)

GAGNEBIN, Maxime Henri, VELENIK, Yvan. 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. doi: 10.1007/s00220-014-2075-0

Article (Submitted version)

Identifiers

PID : unige:29644
DOI : 10.1007/s00220-014-2075-0
arXiv : 1309.2432

ISSN of the journal1432-0916

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

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