Effects of (axial)vector mesons on the chiral phase transition: initial results

TL;DR

This study explores how (axial)vector mesons influence the chiral phase transition using an extended linear sigma model with quarks and Polyakov loops, providing initial insights into the temperature-dependent behavior of condensates.

Contribution

It introduces a hybrid approach combining tree-level mesons and 1-loop quarks to analyze the chiral transition with (axial)vector mesons in an SU(3) model.

Findings

Determined temperature dependence of scalar condensates and Polyakov-loop variables.

Established a framework for analyzing meson effects on phase transition.

Provided initial results on the role of (axial)vector mesons in chiral symmetry restoration.

Abstract

We investigate the effects of (axial)vector mesons on the chiral phase transition in the framework of an SU(3), (axial)vector meson extended linear sigma model with additional constituent quarks and Polyakov loops. We determine the parameters of the Lagrangian at zero temperature in a hybrid approach, where we treat the mesons at tree-level, while the constituent quarks at 1-loop level. We assume two nonzero scalar condensates and together with the Polyakov-loop variables we determine their temperature dependence according to the 1-loop level field equations.