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

TL;DR

This study investigates how gluon propagators in 2+1 lattice QCD are affected by nonzero isospin chemical potential, revealing increased infrared suppression and electric screening mass with higher chemical potential.

Contribution

It provides a detailed parameterization of gluon propagators at various isospin chemical potentials and compares chromoelectric and chromomagnetic interactions.

Findings

Infrared suppression of the longitudinal propagator increases with chemical potential.

Electric screening mass grows as the isospin chemical potential increases.

Differences between chromoelectric and chromomagnetic propagators are analyzed as a function of momentum.

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.