Abstract
We computed the pole masses and decay constants of pi and rho meson at finite temperature in the framework of Dyson–Schwinger equations and Bethe–Salpeter equations approach. Below transition temperature, pion pole mass increases monotonously, while rho meson seems to be temperature independent. Above transition temperature, pion mass approaches the free field limit of screening mass sim 2pi T, whereas rho meson is about twice as large as that limit. Pion and the longitudinal projection of rho meson decay constants have similar behaviour as the order parameter of chiral symmetry, whereas the transverse projection of rho meson decay constant rises monotonously as temperature increases. The inflection point of decay constant and the chiral susceptibility get the same phase transition temperature. Though there is no access to the thermal width of mesons within this scheme, it is discussed by analyzing the Gell-Mann-Oakes-Renner (GMOR) relation in medium. These thermal properties of hadron observables will help us understand the QCD phases at finite temperature and can be employed to improve the experimental data analysis and heavy ion collision simulations.
Highlights
The thermal hadron mass could be separated into the screening mass and pole mass owing to the O(4) symmetry breaking at finite temperature
The hadronic observables at finite temperature have been studied in the framework of Dyson–Schwinger equations (DSEs) and Bethe-Salpeter equations (BSEs) approach
The pole mass of pion becomes larger monotonously and after the chiral phase transition, the pole mass gradually reaches the same limit as screening mass, Mscr ∼ 2π T at high temperature
Summary
The thermal hadron mass could be separated into the screening mass and pole mass owing to the O(4) symmetry breaking at finite temperature. In the present work we employ the Dyson–Schwinger equations (DSEs) and Bethe-Salpeter equations (BSEs) in imaginary time formalism with Matsubara frequency to study the in medium properties of π and ρ meson, which essentially. The interaction is extended at finite temperature via including the thermal mass from perturbative QCD computation. Within this scheme, we obtain the pole masses and decay constants for π and ρ meson in a large range of temperature. 3 contains our results of the temperature dependence of pole masses and decay constants of π and ρ meson, as well as the discussion on the GMOR relation at finite temperature.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
