  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.
