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.

13 pages, 4 tables, 10 figures; version accepted for publication in EPJ C

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• QCD constraints on isospin-dense matter and the nuclear equation of state
• When cold, dense quarks in 1+1 and 3+1 dimensions are not a Fermi liquid
• QCD phase diagram from the gluon propagator at finite temperature and density
• Topological Susceptibility in the Superconductive Phases of Quantum Chromodynamics: a Dyson-Schwinger Perspective