QCD chiral symmetry restoration with a large number of quarks in a model with a confining propagator and dynamically massive gluons

TL;DR

This paper investigates how chiral symmetry in QCD is restored when the number of quark flavors is large, using a model with a confining propagator and massive gluons, highlighting uncertainties in key parameters.

Contribution

It introduces a model combining confining and massive gluon propagators to analyze chiral symmetry restoration at high quark flavor numbers.

Findings

Chiral symmetry is restored for approximately 7-13 quark flavors.

Results depend on the string tension and gluon mass parameters.

Uncertainties are discussed regarding parameter determination.

Abstract

Considering a QCD chiral symmetry breaking model where the gap equation contains an effective confining propagator and a dressed gluon propagator with a dynamically generated mass, we verify that the chiral symmetry is restored for a large number of quarks $n_{f}\approx 7-13$. We discuss the uncertainty in the results, that is related to the determination of the string tension ($K_{F}$), appearing in the confining propagator, and the effective gluon mass ($m_{g}$) at large $n_{f}$.