Effects of Renormalizing the chiral SU(2) Quark-Meson-Model

TL;DR

This paper examines how different renormalization approaches affect the chiral symmetry restoration in the SU(2) quark-meson model at finite temperature, highlighting the impact on thermodynamics and phase transition behavior.

Contribution

It compares mean field and renormalized treatments of quarks and mesons, revealing the effects of renormalization scales on thermodynamic properties and phase transition characteristics.

Findings

All renormalized versions show a crossover transition.

Renormalization scales affect thermodynamics at low temperatures.

Unphysical results appear in the renormalized meson and combined models.

Abstract

We investigate the restoration of chiral symmetry at finite temperature in the SU(2) quark meson model where the mean field approximation is compared to the renormalized version for quarks and mesons. In a combined approach at finite temperature all the renormalized versions show a crossover transition. The inclusion of different renormalization scales leave the order parameter and the mass spectra nearly untouched, but strongly influence the thermodynamics at low temperatures and around the phase transition. We find unphysical results for the renormalized version of mesons and the combined one.