Exponential decay of transverse correlations for spin systems with continuous symmetry and non-zero external field

dc.bibliographicCitation.seriesTitleWIAS Preprintseng
dc.bibliographicCitation.volume2730
dc.contributor.authorLees, Benjamin
dc.contributor.authorTaggi, Lorenzo
dc.date.accessioned2022-06-30T13:03:31Z
dc.date.available2022-06-30T13:03:31Z
dc.date.issued2020
dc.description.abstractWe prove exponential decay of transverse correlations in the Spin O(N) model for arbitrary (non-zero) values of the external magnetic field and arbitrary spin dimension N > 1. Our result is new when N > 3, in which case no Lee-Yang theorem is available, it is an alternative to Lee-Yang when N = 2, 3, and also holds for a wide class of multi-component spin systems with continuous symmetry. The key ingredients are a representation of the model as a system of coloured random paths, a `colour-switch' lemma, and a sampling procedure which allows us to bound from above the `typical' length of the open paths.eng
dc.description.versionpublishedVersioneng
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/9380
dc.identifier.urihttps://doi.org/10.34657/8418
dc.language.isoeng
dc.publisherBerlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
dc.relation.doihttps://doi.org/10.20347/WIAS.PREPRINT.2730
dc.relation.issn2198-5855
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.eng
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.ger
dc.subjectSpin systemseng
dc.subjectphase transitionseng
dc.subjectstatistical mechanicseng
dc.subject.ddc510
dc.titleExponential decay of transverse correlations for spin systems with continuous symmetry and non-zero external fieldeng
dc.typereporteng
dc.typeTexteng
dcterms.extent28 S.
tib.accessRightsopenAccess
wgl.contributorWIAS
wgl.subjectMathematik
wgl.typeReport / Forschungsbericht / Arbeitspapier
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