2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/27190We study the static as well as the glassy or dynamical transition in the mean-field $p$-state Potts glass. By numerical solution of the saddle point equations we investigate the static and the dynamical transition for all values of $p$ in the non-perturbative regime $p>4$. The static and dynamical Edwards-Anderson parameter increase with $p$ logarithmically. This makes the glassy transition temperature lie very close to the static one. We compare the main predictions of the theory with the numerical simulations.24 pages + 12 figures, LateX, figures uuencoded at the end of fileCondensed Mattertext