Finite temperature Mott transition in a nonlocal PNJL model

TL;DR

This paper investigates the Mott transition in non-local PNJL models, revealing a lower deconfinement temperature than the Mott temperature and showing that meson widths are generally reduced compared to local models.

Contribution

It introduces a novel calculation of the Mott effect in non-local PNJL models and discusses challenges in Wick rotation of covariant models.

Findings

Deconfinement transition temperature is lower than Mott temperature.

Meson widths are reduced in nonlocal models.

Wick rotation difficulties are analyzed.

Abstract

We provide a novel calculation of the Mott effect in non-local PNJL models. We find that the "deconfinement" transition temperature in these models is lower than the Mott temperature. Furthermore, the mass and the width of the $\sigma$ and the $\pi$ meson modes is calculated with the result that the width in nonlocal models is in general reduced as compared to local models. Difficulties encountered while attempting to "Wick rotate" covariant models are carefully discussed.