Critical properties of a three dimensional p-spin model

TL;DR

This paper investigates the critical behavior of a three-dimensional p-spin model, revealing that unlike the mean field case, the glass transition involves diverging susceptibility and correlation length.

Contribution

It provides new insights into the critical properties of finite-dimensional p-spin models, especially in three dimensions, challenging mean field predictions.

Findings

Glass transition in 3D p-spin model involves diverging susceptibility.

Correlation length diverges at the transition.

Contrasts with mean field behavior.

Abstract

In this paper we study the critical properties of a finite dimensional generalization of the p-spin model. We find evidence that in dimension three, contrary to its mean field limit, the glass transition is associated to a diverging susceptibility (and correlation length).