Physics – Condensed Matter
Scientific paper
1998-09-10
Journal of Statistical Physics 90 (1998) 1051--1059
Physics
Condensed Matter
12 pages, in TeX, e-mail addresses: lebowitz@math.rutgers.edu, mazel@math.rutgers.edu
Scientific paper
10.1023/A:1023205826704
We consider the low temperature expansion for the Ising model on $\Z^d$, $d
\ge 2$, with ferromagnetic nearest neighbor interactions in terms of Peierls
contours. We prove that the expansion converges for all temperatures smaller
than $C d (\log d)^{-1}$, which is the correct order in $d$.
Lebowitz Joel. L.
Mazel A.
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