  We have estimated parallel and perpendicular components of electrical
conductivity and shear viscosity of quark matter at finite magnetic field and
temperature by using their one-loop Kubo expressions in the framework of
Nambu--Jona-Lasinio (NJL) model. At finite magnetic field, a non-trivial medium
dependence of those quantities can be found. Previously these NJL-profiles have
been addressed in relaxation time approximation, where cyclotron motion of
quarks with medium dependent mass plays the key role. With respect to the
earlier estimations, the present work provides further enriched profiles via
Kubo framework, where field theoretical descriptions of quark transport with
medium dependent mass and (Landau) quantized energy have been identified as the
key ingredients. Hence the present study can be considered as the complete
quantum field theoretical description of the transport coefficients in the
framework of NJL model at finite temperature and magnetic field.
