We present a high statistic systematic study of the overlap correlation
function well below the critical temperature in the three dimensional Gaussian
spin glass. The off-equilibrium correlation function has been studied
confirming the power law behavior for the dynamical correlation length. In
particular we have computed the dynamical critical exponent z in a wide range
of temperatures, 0.35≤T≤0.9, obtaining a dependence z(T)=6.2/T in a
very good agreement with recent experiments. Moreover, we report a study of the
violation of the fluctuation-dissipation theorem for very low temperatures
T=0.5 and T=0.35. All our numerical results avoid a droplet model
interpretation even when T is as low as T=0.35.Comment: LaTeX, 14 pages and 5 figures. A minor arithmetic error corrected and
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