Improved Peierls Argument for High Dimensional Ising Models

Physics – Condensed Matter

Scientific paper

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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 $d$.

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