Authors
Citation
Jl. Lebowitz et Ae. Mazel, IMPROVED PEIERLS ARGUMENT FOR HIGH-DIMENSIONAL ISING-MODELS, Journal of statistical physics, 90(3-4), 1998, pp. 1051-1059
Citations number
9
Categorie Soggetti
Physycs, Mathematical","Physycs, Mathematical
Journal title
ISSN journal
00224715
Volume
90
Issue
3-4
Year of publication
1998
Pages
1051 - 1059
Database
ISI
SICI code
0022-4715(1998)90:3-4<1051:IPAFHI>2.0.ZU;2-X
Abstract
We consider the low-temperature expansion for the Ising model on Z(d),
d greater than or equal to 2; with ferromagnetic nearest neighbor int
eractions in terms of Peierls contours. We prove that the expansion co
nverges for all temperatures smaller than Cd(log d)(-1), which is the
correct order in d.