Heavy quark transport in a viscous semi-QGP

We study the effect of shear and bulk viscosities on the heavy quark transport coefficient within the matrix model of semi-QGP. Dissipative effects are incorporated through the first-order viscous correction in the quark/antiquark and gluon distribution function. It is observed that while the shear viscosity effects reduce the drag of heavy quark the bulk viscosity effects increase the drag and the diffusion coefficients of heavy quark. For finite values of η/s and ζ/s, the Polyakov loop further decreases the drag coefficient and enhances the momentum diffusion coefficient as compared to perturbative QCD. It is also observed that with increases in η/s and ζ/s spatial diffusion coefficient decreases.