  The Vlasov type quantum kinetic equation for deconfined quarks in strong
quasi-classical gluon field is derived in the covariant single-time formalism.
The equations system for the Wigner function components is obtained as a result
of spinor and color decomposition. The field-free and vacuum solutions of the
kinetic equation are found, and the conservation laws are derived. The
flux-tube configuration of gluon field is discussed in detail.
