Abstract
The transverse and longitudinal gluon propagators in the Landau gauge are studied in the two-color lattice QCD at nonzero quark chemical potential $\mu_q$. Parameterization of the momentum dependence of the propagators is provided for all values of chemical potential under study. We find that the longitudinal propagator is infrared suppressed at nonzero $\mu_q$ with suppression increasing with increasing $\mu_q$. The transverse propagator dependence on $\mu_q$ was found to be opposite: it is enhanced at large $\mu_q$. It is found, respectively, that the electric screening mass is increasing while the magnetic screening mass is decreasing with increasing $\mu_q$. Nice agreement between the electric screening mass computed from the longitudinal propagator and the Debye mass computed earlier from the singlet static quark-antiquark potential was found. We discuss how the dependence of the propagators on the chemical potential correlates with the respective dependence of the string tension. Additionally, we consider the difference between two propagators as a function of the momentum and make interesting observations.
Highlights
Understanding of the phase diagram of the strong interactions is of high importance for experimental studies of hadronic matter created in relativistic heavy ion collisions
We presented results of our study of the longitudinal and transverse propagators in the Landau gauge of the QC2D with Nf 1⁄4 2 lattice staggered quark action at nonzero quark chemical potential
This is different from the results of lattice gluodynamics
Summary
Understanding of the phase diagram of the strong interactions is of high importance for experimental studies of hadronic matter created in relativistic heavy ion collisions. The most difficult for theoretical investigation part of this phase diagram is at low temperature and high density. Lattice QCD being the nonperturbative first principles approach is very successful at zero baryon density but is inapplicable at high baryon density due to the so-called sign. This makes important to study the theories similar to QCD (QCD-like) but without the sign problem
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