Finite-range spin glasses in the Kac limit: free energy and local observables
Finite-range spin glasses in the Kac limit: free energy and local observables
We study a finite-range spin-glass model in arbitrary dimension, where the intensity of the coupling between spins decays to zero over some distance γ−1. We prove that, under a positivity condition for the interaction potential, the infinite-volume free energy of the system converges to that of the Sherrington–Kirkpatrick model, in …