Comment on "The Glassy Potts Model"

TL;DR

This paper establishes the equivalence between the Glassy Potts model and the Chiral Potts model, clarifying their phase transition behavior and distinguishing them from the ordinary glass Potts model.

Contribution

It demonstrates the equivalence of two models and clarifies their phase transition characteristics, contrasting with the behavior of the ordinary glass Potts model.

Findings

The Glassy Potts model is equivalent to the Chiral Potts model.

Both models lack spontaneous magnetization at low temperature.

The phase transition corresponds to the spin glass transition of the random Potts model.

Abstract

We report the equivalence of the ``Glassy Potts model'', recently introduced by Marinari et al. and the ``Chiral Potts model'' investigated by Nishimori and Stephen. Both models do not exhibit any spontaneous magnetization at low temperature, differently from the ordinary glass Potts model. The phase transition of the glassy Potts model is easily interpreted as the spin glass transition of the ordinary random Potts model.