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

TL;DR

This paper numerically investigates a 3D short-range p-spin glass model, revealing behaviors that differ from mean field predictions and suggesting a unique transition influenced by non-perturbative effects.

Contribution

The study provides the first numerical analysis of a 3D short-range p-spin glass, highlighting differences from mean field theory and proposing a new type of transition.

Findings

Model exhibits features of full replica-symmetry breaking

Transition appears to be different from FRSB and driven by non-perturbative effects

Statics and dynamics support the conjecture of a distinct transition mechanism

Abstract

In this work we study numerically a short range p-spin glass model in three dimensions. The behaviour 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 non-perturbative contributions. We study both the statics and the dynamics of the system which seem to confirm our conjectures.