Exponential Decay of Truncated Correlations for the Ising Model in any Dimension for all but the Critical Temperature

The truncated two-point function of the ferromagnetic Ising model on [Formula: see text] ([Formula: see text] ) in its pure phases is proven to decay exponentially fast throughout the ordered regime ([Formula: see text] and [Formula: see text] ). Together with the previously known results, this impl...

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Autores principales: Duminil-Copin, Hugo, Goswami, Subhajit, Raoufi, Aran
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2019
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7336249/
https://www.ncbi.nlm.nih.gov/pubmed/32675826
http://dx.doi.org/10.1007/s00220-019-03633-y
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author Duminil-Copin, Hugo
Goswami, Subhajit
Raoufi, Aran
author_facet Duminil-Copin, Hugo
Goswami, Subhajit
Raoufi, Aran
author_sort Duminil-Copin, Hugo
collection PubMed
description The truncated two-point function of the ferromagnetic Ising model on [Formula: see text] ([Formula: see text] ) in its pure phases is proven to decay exponentially fast throughout the ordered regime ([Formula: see text] and [Formula: see text] ). Together with the previously known results, this implies that the exponential clustering property holds throughout the model’s phase diagram except for the critical point: [Formula: see text] .
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spelling pubmed-73362492020-07-14 Exponential Decay of Truncated Correlations for the Ising Model in any Dimension for all but the Critical Temperature Duminil-Copin, Hugo Goswami, Subhajit Raoufi, Aran Commun Math Phys Article The truncated two-point function of the ferromagnetic Ising model on [Formula: see text] ([Formula: see text] ) in its pure phases is proven to decay exponentially fast throughout the ordered regime ([Formula: see text] and [Formula: see text] ). Together with the previously known results, this implies that the exponential clustering property holds throughout the model’s phase diagram except for the critical point: [Formula: see text] . Springer Berlin Heidelberg 2019-11-28 2020 /pmc/articles/PMC7336249/ /pubmed/32675826 http://dx.doi.org/10.1007/s00220-019-03633-y Text en © The Author(s) 2019 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Article
Duminil-Copin, Hugo
Goswami, Subhajit
Raoufi, Aran
Exponential Decay of Truncated Correlations for the Ising Model in any Dimension for all but the Critical Temperature
title Exponential Decay of Truncated Correlations for the Ising Model in any Dimension for all but the Critical Temperature
title_full Exponential Decay of Truncated Correlations for the Ising Model in any Dimension for all but the Critical Temperature
title_fullStr Exponential Decay of Truncated Correlations for the Ising Model in any Dimension for all but the Critical Temperature
title_full_unstemmed Exponential Decay of Truncated Correlations for the Ising Model in any Dimension for all but the Critical Temperature
title_short Exponential Decay of Truncated Correlations for the Ising Model in any Dimension for all but the Critical Temperature
title_sort exponential decay of truncated correlations for the ising model in any dimension for all but the critical temperature
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7336249/
https://www.ncbi.nlm.nih.gov/pubmed/32675826
http://dx.doi.org/10.1007/s00220-019-03633-y
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