Dual quark condensate in the Polyakov-loop extended Nambu--Jona-Lasinio model

TL;DR

This paper evaluates the dual quark condensate as an order parameter for chiral symmetry breaking using the Polyakov-loop extended Nambu--Jona-Lasinio model, showing its sensitivity to vector interaction strength and agreement with lattice QCD data.

Contribution

It demonstrates the effectiveness of the Polyakov-loop extended Nambu--Jona-Lasinio model in reproducing lattice data for the dual quark condensate and highlights its sensitivity to vector interaction strength.

Findings

The model reproduces lattice QCD data for $ ext{Sigma}^{(1)}$.

Higher temperature $ ext{Sigma}^{(n)}$ is sensitive to vector interaction strength.

The dual quark condensate serves as a good order parameter for symmetry breaking.

Abstract

The dual quark condensate $\Sigma^{(n)}$ proposed recently as a new order parameter of the spontaneous breaking of the ${\mathbb Z}_3$ symmetry are evaluated by the Polyakov-loop extended Nambu--Jona-Lasinio model, where $n$ are winding numbers. The Polyakov-loop extended Nambu--Jona-Lasinio model well reproduces lattice QCD data on $\Sigma^{(1)}$ measured very lately. The dual quark condensate $\Sigma^{(n)}$ at higher temperatures is sensitive to the strength of the vector-type four-quark interaction in the Polyakov-loop extended Nambu--Jona-Lasinio model and hence a good quantity to determine the strength.