J. L. Lebowitz (lebowitz@math.rutgers.edu), A. Mazel, (mazel@math.rutgers.edu)
Improved Peierls Argument for High Dimensional Ising Models
(22K, TeX)
ABSTRACT. 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 $d$.