Correlation asymptotics of classical lattice spin systems with nonconvex Hamilton function at low temperature
type: Item
instance of: scholarly article
title: Correlation asymptotics of classical lattice spin systems with nonconvex Hamilton function at low temperature
zbMATH Open document ID: 1021.82002
DOI: 10.1007/PL00001002
published in: Annales Henri Poincaré
publication date: 2000-11-20T00:00:00Z
review text: The authors study the correlation function of lattice field theory by means of Witten's deformed Laplacian [see also \textit{J. Sjöstrand}, St. Petersbg. Math. J. 8, 123-147 (1997; Zbl 0877.35084)]. For sufficiently low temperature one derives an estimate for the spectral gap of a certain Witten Laplacian, one proves exponential decay of the two-point correlation function and one derives its asymptotics as the distance between spin sites becomes large.
reviewed by: Mihai Gradinaru
Mathematics Subject Classification ID: 82B20
Mathematics Subject Classification ID: 35P05
Mathematics Subject Classification ID: 35Q40
Mathematics Subject Classification ID: 35J10
zbMATH DE Number: 1533502
zbMATH Keywords: correlation function
zbMATH Keywords: lattice spin systems
zbMATH Keywords: exponential decay
zbMATH Keywords: Witten Laplacian
author: Volker Bach
author: Thierry Jecko
author: Johannes Sjöstrand
MaRDI profile type: Publication
full work available at URL: pl00001002
OpenAlex ID: W2014450780
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description: scientific article; zbMATH DE number 1533502