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 |
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Article number | 030602 |
Number of pages | 3 |
Journal | Physical Review Letters |
Volume | 92 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2004 |