Quark back reaction to deconfinement transition via gluon propagators

TL;DR

This paper investigates how the quark back reaction influences the deconfinement phase transition by analyzing gluon and ghost propagators from lattice QCD, revealing that quark effects lower the critical temperature.

Contribution

It introduces a method to incorporate quark back reaction into the gluonic potential using lattice QCD data and the 2PI formalism, providing new insights into the deconfinement transition.

Findings

Quark back reaction reduces the critical temperature of deconfinement.

Lattice QCD data fitted with Gribov-Stingl form effectively models gluon propagators.

The gluonic potential describes the phase transition in the presence of dynamical quarks.

Abstract

Contribution of the quark back reaction to the deconfinement phase transition is studied in the thermodynamical potential of the gluonic sector which consists of the gluon and ghost propagators calculated in the lattice QCD simulations. Starting from QCD thermodynamic potential, we define the gluonic potential in the leading-order of the 2PI formalism, which can describe the deconfinement phase transition. Then the gluonic potential can be written by using the microscopic characters; the gluon and ghost propagators in Landau gauge fixing. To include effects of the quark back reaction, we calculate the gluon propagators in lattice QCD simulations with two-flavored dynamical quarks. Fitting the lattice data by the Gribov-Stingl form and investigating the phase transition of the gluonic potential, we find that enhancement of the quark back reaction reduces the critical temperature of the deconfinement phase transition.