Momentum transport of chiral modes in a thermal QCD medium

Abstract

We investigate the effect of a weak magnetic field on momentum transport in a thermal QCD medium at finite quark chemical potential using a semiclassical kinetic theory. In the presence of a magnetic field, the momentum transport coefficients acquire a tensor structure, reflected by the five shear ([Formula: see text] and [Formula: see text]) and two bulk viscous components ([Formula: see text] and [Formula: see text]). The weak magnetic field removes the degeneracy in the effective mass of flavors, leading to different masses for the left-handed (L) and right-handed (R) chiral modes of quarks. The coefficients, [Formula: see text] and [Formula: see text] decrease with magnetic field in L mode and increase in [Formula: see text] mode, whereas, [Formula: see text] and [Formula: see text] increase in both L and [Formula: see text] modes. The bulk viscous coefficients, [Formula: see text] and [Formula: see text] increase with magnetic field for both L and R modes. The shear and bulk viscous coefficients positively amplify with baryon asymmetry.