Non-uniform chiral phase studied within the Polyakov NJL model

TL;DR

This paper investigates the impact of the Polyakov loop on inhomogeneous chiral phases within the NJL model, confirming their existence in a chiral limit using different regularization schemes.

Contribution

It demonstrates that spatially non-uniform chiral phases persist in the Polyakov NJL model, extending previous findings to include the Polyakov loop effects.

Findings

Non-uniform chiral phase exists within the Polyakov NJL model

Results are consistent across different regularization schemes

Confirms the phase's stability in the chiral limit

Abstract

We consider how does the introduction of a Polyakov loop affects the spatially inhomogeneous quark condensate. The primary result of our work is that the existence of the spatially non-uniform chiral phase is confirmed within the Polyakov NJL model in a chiral limit. These findings are obtained both in a 3d-cutoff and in a Schwinger (proper time) regularization schemes.