On the neutrality issue in the Polyakov-loop NJL model

TL;DR

This paper investigates the limitations of the PNJL model at finite density, highlighting issues with color neutrality and the assumptions about the Wilson loop in the presence of diquark condensates.

Contribution

It reveals how color neutrality is compromised in the PNJL model and questions the diagonal Wilson loop assumption when diquark condensates are present.

Findings

Color neutrality is harmed in the PNJL model at finite density.

The usual diagonal Wilson loop assumption may fail with diquark condensates.

The paper discusses the implications for modeling QCD at finite density.

Abstract

We elucidate how the color neutrality is harmed in the Polyakov Nambu-Jona Lasinio (PNJL) model at finite density within the adopted mean field approximation. Also we point out how usual assumption about the diagonal form of the Wilson loop may fail in the presence of the diquark condensate on several grounds.