Abstract
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 ¿-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 ¿¿0. This could be a first step toward an expansion around mean-field theory, for spin glass systems.
| Original language | English |
|---|---|
| Article number | 030602 |
| Number of pages | 3 |
| Journal | Physical Review Letters |
| Volume | 92 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2004 |