  We discuss a general formalism that allows study of transitions over barriers
in spin glasses with long-range interactions that contain large but finite
number, $N$, of spins. We apply this formalism to the Sherrington-Kirkpatrick
model with finite $N$ and derive equations for the dynamical order parameters
which allow ''instanton'' solutions describing transitions over the barriers
separating metastable states. Specifically, we study these equations for a
glass state that was obtained in a slow cooling process ending a little below
$T_{c}$ and show that these equations allow ''instanton'' solutions which erase
the response of the glass to the perturbations applied during the slow cooling
process. The corresponding action of these solutions gives the energy of the
barriers, we find that it scales as $\tau ^{6}$ where $\tau $ is the reduced
temperature.
