  Models of spin glasses are studied with a phase transition discontinuous in
the Parisi order parameter. It is assumed that the leading order corrections to
the thermodynamic limit of the high temperature free energy are due to the
existence of a metastable saddle point in the replica formalism. An ansatz is
made on the form of the metastable point and its contribution to the free
energy is calculated. The Random Energy Model is considered along with the
p-spin and the p-state Potts Models in their p < infinity expansion.
