Chiral phase transition in the vector meson extended linear sigma model

TL;DR

This paper explores how (axial)vector mesons influence the chiral phase transition within an extended linear sigma model, incorporating quarks and Polyakov loops to analyze temperature and density effects on meson properties.

Contribution

It introduces a comprehensive SU(3) vector meson extended linear sigma model with constituent quarks and Polyakov loops, analyzing their impact on chiral symmetry restoration.

Findings

Vector mesons significantly affect the chiral phase transition dynamics.

Scalar meson masses change notably in hot and dense environments.

Polyakov loops influence the order parameters' behavior with temperature and density.

Abstract

In the framework of an SU(3) (axial)vector meson extended linear sigma model with additional constituent quarks and Polyakov loops, we investigate the effects of (axial)vector mesons on the chiral phase transition. The parameters of the Lagrangian are set at zero temperature and we use a hybrid approach where in the effective potential the constituent quarks are treated at one-loop level and all the mesons at tree-level. We have four order parameters, two scalar condensates and two Polyakov loop variables and their temperature and baryochemical potential dependence are determined from the corresponding field equations. We also investigate the changes of the tree-level scalar meson masses in the hot and dense medium.