The transport coefficients of quark matter at non-zero chemical potential and temperature are computed within the two-flavor Nambu--Jona-Lasinio model. We apply the Kubo formalism to obtain the thermal and electrical conductivities as well as the shear and bulk viscosity by evaluating the corresponding equilibrium two-point correlation functions to leading order in the 1/N_c expansion. The Dirac structure of the self-energies and spectral functions is taken into account as these are evaluated from the meson-exchange Fock diagrams for on-mass-shell quarks [1,2]. I will also discuss the same transport coefficients in dense color superconducting quark matter  on the basis of the Boltzmann equation.
 Phys. Rev. D 95, 114021 (2017)
 Phys. Rev. D 96, 034006 (2017)
 Phys. Rev. C 90, 055205 (2014)
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