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Scientific article
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English

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

Contributors

Gagnebin, Maxime Henri; Velenik, Yvan

Published in

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

Publication date

2013

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

UNIGE affiliation entities

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

Main files (1)

Article (Submitted version)

Identifiers

Journal ISSN

1432-0916
773views
485downloads

Technical informations

Creation

17/09/2013 09:05:00

First validation

17/09/2013 09:05:00

Update

14/03/2023 20:24:20

Status update

14/03/2023 20:24:20

Last indexation

30/10/2024 10:11:48
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