  We derive the quantum kinetic equations for massive and massless quarks
coupled with the background chromo-electromagnetic fields from the
Wigner-function approach with the $\hbar$ expansion and effective
power-counting scheme. For each case, one obtains coupled color-singlet and
color-octet kinetic equations, which also involve the scalar and axial-vector
components for the charge and spin transport. These kinetic equations delineate
entangled evolution of the corresponding distribution functions decomposed in
color space. At weak coupling, we derive the close form of the color-singlet
kinetic equations for spin transport, which incorporates the diffusion term and
the source term that triggers dynamical spin polarization led by correlation
functions of color fields. Also, the non-dynamical source term is found in the
axial Wigner function. The induced spin polarization and axial charge currents
by these source terms are discussed under physical assumptions for color-field
correlators in near-equilibrium quark gluon plasmas. In the constant-field
limit, we further obtain non-vanishing axial Ward identities, from which we
extract the pseudo-scalar condensate for massive quarks at finite temperature.
