DYNAMICAL FLUCTUATIONS IN AN EXACTLY SOLVABLE MODEL OF SPIN-GLASSES

In this paper we calculate the dynamical fluctuations to O(1/N) in the low-temperature phase of the p = 2 spherical spin-glass model. We stu dy the long-time asymptotic regimes and we find, in a short-time-diffe rence regime, a fluctuation dissipation relation for the four-point co rrelation functions. This relation can be extended to the non-equilibr ium regimes introducing a function X-t, which, for time t large, varie s as t(-1/2) as in the case of the two-point functions.