Cassandro, R., Marra R., Presutti, E.
Corrections to the critical temperature
in 2d Ising systems with Kac potentials
(23K, TeX)
ABSTRACT. We consider a $d=2$ Ising system with a Kac
potential whose mean field critical temperature is 1.
Calling $\gam>0$ the Kac parameter, we prove that
there exists $c^\star>0$ so that the true
inverse critical temperature $\beta_{\text{cr}}(\gam)> 1 + b
\gam^2\log\gam^{-1}$, for any $b