  We study the violation of the fluctuation-dissipation theorem in the three
and four dimensional Gaussian Ising spin glasses using on and off equilibrium
simulations. We have characterized numerically the function X(C) that determine
the violation and we have studied its scaling properties. Moreover we have
computed the function x(C) which characterize the breaking of the replica
symmetry directly from equilibrium simulations. The two functions are
numerically equal and in this way we have established that the conjectured
connection between the violation of fluctuation dissipation theorem in the
off-equilibrium dynamics and the replica symmetry breaking at equilibrium holds
for finite dimensional spin glasses. These results point to a spin glass phase
with spontaneously broken replica symmetry in finite dimensional spin glasses.
