Flavor dependence of the thermal dissociations of vector and axial-vector mesons

TL;DR

This study investigates how the thermal dissociation of vector and axial-vector mesons depends on quark flavor, using spectral analysis of mesonic correlators at finite temperature to determine dissociation temperatures and their relation to chiral symmetry restoration.

Contribution

It provides a detailed analysis of flavor-dependent thermal dissociation patterns of mesons using spectral functions derived from Bethe-Salpeter equations at finite temperature.

Findings

Flavor dependence observed in meson dissociation temperatures.

Correlation between dissociation temperatures and chiral symmetry restoration.

Spectral functions reveal meson stability patterns at different temperatures.

Abstract

The in-medium behavior of ground-state $q\bar{q}$ mesons, where $q \in \{u,d,s,c\}$, in vector and axial-vector channels is studied based on the spectral analysis for mesonic correlators at finite temperature and zero chemical potential. We first compute the correlators by solving the quark gap equations and the inhomogeneous Bethe-Salpeter equations in the rainbow-ladder approximation. Using a phenomenological ansatz, the spectral functions are extracted by fitting the correlators. By analyzing the evolution of the spectral functions with the temperature, we obtain the dissociation temperatures of mesons and discuss their relations to the critical temperature of the chiral symmetry restoration. The results show a pattern of the flavor dependence of the thermal dissociation of the mesons.