QCD bound states at finite temperatures from a Dyson-Schwinger-Bethe-Salpeter approach
Seminars
Seminar “Nuclear Theory”
Date and Time: Monday, 30 January 2023, at 3:30 PM
Venue: Blokhintsev Lecture Hall (4th floor), Bogoliubov Laboratory of Theoretical Physics; online on Zoom
Seminar topic: “QCD bound states at finite temperatures from a Dyson-Schwinger-Bethe-Salpeter approach”
Speaker: L. P. Kaptari
Authors: L. P. Kaptari1, S. M. Dorkin1, 2
1 – BLTP JINR
2 – Dubna State University
Abstract:
The zero- and finite-temperature structure of quark, ghost, and gluon propagators is considered within an approach based on the rainbow truncated Dyson-Schwinger equations in the Landau gauge. The analytical continuation of the obtained solutions for the corresponding propagators are then exploited in the Bethe-Salpeter equation in further investigation of the QCD bound states, viz., quarkonia and glueballs.
The solutions to the quark, ghost, and gluon propagators are obtained as functions of the temperature T, Matsubara frequency Ωn and three-momentum squared k2. It is found that the quark and longitudinal gluon propagators exhibit phase transition-like behavior near certain temperatures T0, with T0 ∼ 120 MeV for quarks and T0 ∼ 160 MeV for longitudinal gluons. This is in qualitative agreement with the results obtained within the QCD lattice calculations in this temperature interval. Pseudoscalar mesons and glueballs are investigated within the same rainbow approximation to the Bethe-Salpeter equation.