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 (η0,η1,η2,η3η0,η1,η2,η3 and η4η4) and two bulk viscous components (ζ0ζ0 and ζ1ζ1). 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, η0,η1η0,η1 and η3η3 decrease with magnetic field in L mode and increase in RR mode, whereas, η2η2 and η4η4 increase in both L and RR modes. The bulk viscous coefficients, ζ0ζ0 and ζ1ζ1 increase with magnetic field for both L and R modes. The shear and bulk viscous coefficients positively amplify with baryon asymmetry.
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