Influence of light quark loops on the Wigner phase with Dyson-Schwinger equations approach

TL;DR

This paper investigates how light quark loops affect the Wigner phase in QCD by solving coupled Dyson-Schwinger equations, using lattice data and phenomenological models to analyze the phase's properties.

Contribution

It provides a detailed analysis of the impact of light quark loops on the Wigner phase using coupled Dyson-Schwinger equations with lattice-informed gluon propagators.

Findings

Light quark loops significantly influence the Wigner phase properties.

The Wigner solution differs when quark loops are included versus when they are neglected.

Results depend on the choice of quark-gluon vertex models.

Abstract

We study the influence of light quark loops on the Wigner phase by solving coupled Dyson-Schwinger equations for quark propagator and gluon propagator. We take the gluon propagator in the Nambu phase from $N_f$ = 2 unquenched lattice QCD and choose various phenomenological models for the quark-gluon vertex. The gluon propagator in Winger phase is assumed to be different from that in the Nambu phase only due to the vacuum polarization of the quark loop. We obtain the Wigner solution of the coupled equations, compared with that from solving only the equation of the quark propagator. We discussed the corrections by the light quark loops and the dependence on various models of the quark-gluon vertex.