  We construct perturbative frameworks for studying nonequilibrium
spin-polarized quark matter. We employ the closed-time-path formalism and use
the gradient approximation in the derivative expansion. After constructing
self-energy-part resummed quark and gluon propagators, we formulate two kind of
mutually equivalent perturbative frameworks: The first one is formulated on the
basis of the initial-particle distribution function, and the second one is
formulated on the basis of `` physical''-particle distribution function. In the
course of construction of the second framework, the generalized Boltzmann
equations and their relatives {\em directly} come out, which describe the
evolution of the system. The frameworks are relevant to the study of a magnetic
character of quark matters, e.g., possible quark stars.
