SOME NONPERTURBATIVE CALCULATIONS ON SPIN-GLASSES

Models of spin glasses are studied with a phase transition which is di scontinuous in the Parisi order parameter. It is assumed that the lead ing-order corrections to the thermodynamic limit of the high-temperatu re free energy are due to the existence of a metastable saddle point i n the replica formalism. An ansatz is made for the form of the metasta ble point and its contribution to the free energy is calculated. The r andom energy model is considered along with the Ising spin glass with p-spin interactions and the p-state Potts glass with two-spin interact ions in their p < infinity expansion.