Kac limit for finite-range spin glasses.
We consider a finite-range spin glass model in arbitrary dimension, where the strength of the two-body coupling decays to zero over some distance gamma(-1). We show that, under mild assumptions on the interaction potential, the infinite-volume free energy of the system converges to that of the Sherrington-Kirkpatrick one, in the Kac limit gamma-->0. This could be a first step toward an expansion around mean-field theory, for spin glass systems.
Franz
Silvio
S
The Abdus Salam International Center for Theoretical Physics, Condensed Matter Group, Strada Costiera 11, P.O. Box 586, I-34100 Trieste, Italy. franz@ictp.trieste.it
Toninelli
Fabio Lucio
FL