Chiral phase transition in an extended linear sigma model: initial results

TL;DR

This paper explores how scalar meson masses change during the chiral phase transition using an extended linear sigma model with quarks and Polyakov loops, providing initial insights into the transition dynamics.

Contribution

It introduces a hybrid approach combining tree-level mesons and 1-loop quarks to study temperature-dependent chiral phase transitions in an extended SU(3) linear sigma model.

Findings

Scalar meson masses vary with temperature during the phase transition.

The model incorporates Polyakov loops and constituent quarks for a comprehensive analysis.

Initial results suggest specific behavior of condensates and meson masses near critical temperature.

Abstract

We investigate the scalar meson mass dependence 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.