 94217 Cassandro, R., Marra R., Presutti, E.
 Corrections to the critical temperature
in 2d Ising systems with Kac potentials
(23K, TeX)
Jun 29, 94

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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 $b<c^\star$ and $\gam$
correspondingly small. We also show that if
$\gam\to 0$ and $b\to c^\star$, suitably, then the
correlation functions (normalized
and rescaled) converge to those of a non trivial
Euclidean field theory.
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