ON THE STATIC AND DYNAMICAL TRANSITION IN THE MEAN-FIELD POTTS GLASS

We study the static as well as the glassy or dynamical transition in t he mean-field p-state Potts glass. By numerical solution of the saddle -point equations we investigate the static and dynamical transitions f or all values of p in the non-perturbative regime p > 4. The static an d dynamical Edwards-Anderson parameter increase with p logarithmically . This makes the glassy transition temperature lie very close to the s tatic one. We compare the main predictions of the theory with numerica l simulations.