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unige:29644 
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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 systems — continuous symmetry — decay of correlations — McBryan-Spencer bound — Mermin-Wagner theorem — Resistor network | |
| Identifiers | arXiv: 1309.2432 | |
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| 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 https://archive-ouverte.unige.ch/unige:29644 |
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