Mean field behaviour of spin systems with orthogonal interaction matrix

Abstract

For the long-range deterministic spin models with glassy behaviour of Marinari, Parisi and Ritort we prove weighted factorization properties of the correlation functions which represent the natural generalization of the factorization rules valid for the Curie-Weiss case.

Improved exposition, few typos and a combinatorial mistake corrected. (To appear in Journal of Statistical Physics)