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.
Highlights
The results show a pattern of flavor dependence of the thermal dissociation of the mesons
It is expected that strongly interacting matter undergoes a crossover transition at a sufficiently high temperature, above which the dynamically broken chiral symmetry is restored and quarks and gluons are deconfined
We study the flavor dependence of the dissociation temperatures of vector and axial-vector mesons in the Dyson-Schwinger equations (DSEs) framework, by analyzing the behaviors of the corresponding spectral functions
Summary
It is expected that strongly interacting matter undergoes a crossover transition at a sufficiently high temperature, above which the dynamically broken chiral symmetry is restored and quarks and gluons are deconfined. Combining with the maximum entropy method (MEM) of the spectral analysis, it has obtained numerous interesting results, such as the evolution of bound state peaks with temperatures, heavy quark diffusion coefficients in the QGP, electrical conductivities of the QGP, and so on [33,34,35,36,37,38,39]. The Dyson-Schwinger equations (DSEs), known as a continuum QCD approach including both dynamical chiral symmetry breaking (DCSB) and confinement, have been successfully applied in studying hadron properties and QCD phase transitions We study the flavor dependence of the dissociation temperatures of vector and axial-vector mesons in the DSE framework, by analyzing the behaviors of the corresponding spectral functions.
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