Gluon Propagators in $2+1$ Lattice QCD with Nonzero Isospin Chemical Potential

Abstract

The static longitudinal and transverse gluon propagators in the Landau gauge are studied in $2+1$ lattice QCD with nonzero isospin chemical potential $\mu_I$. Parameterization of the momentum dependence of the propagators is provided for all values of the chemical potential under study. We find that the longitudinal propagator is infrared suppressed at nonzero $\mu_I$ with suppression increasing with increasing $\mu_I$. It is found, respectively, that the electric screening mass is increasing with increasing $\mu_I$. Additionally, we analyze the difference between two propagators as a function of the momentum and thus compare interactions in chromoelectric and chromomagnetic sectors.