  We study how the mass and magnetic moment of the quarks are dynamically
generated in nonequilibrium quark matter. We derive the equal-time transport
and constraint equations for the quark Wigner function in a magnetized quark
model and solve them in the semi-classical expansion. The quark mass and
magnetic moment are self-consistently coupled to the Wigner function and
controlled by the kinetic equations. While the quark mass is dynamically
generated at the classical level, the quark magnetic moment is a pure quantum
effect, induced by the quark spin interaction with the external magnetic field.
