Numerical study of a short-rangep-spin glass model in three dimensions

In this paper, we study numerically a short-range $p$-spin glass model in three dimensions. The behavior of the model appears to be remarkably different from mean-field predictions. In fact it shares some features typical of models with full replica symmetry breaking (FRSB). Nevertheless, we believe that the transition that we study is intrinsically different from the FRSB and basically due to nonperturbative contributions. We study both the statics and the dynamics of the system, which seem to confirm our conjectures.