  We derive transport equations for fermionic systems with a space-time
dependent mass matrix in flavor space allowing for complex elements leading to
CP violation required for electroweak baryogenesis. By constructing appropriate
projectors in flavor space of the relevant tree level Kadanoff-Baym equations,
we split the constraint equations into "diagonal" and "transversal" parts in
flavor space, and show that they decouple. While the diagonal densities exhibit
standard dispersion relations at leading order in gradients, the transverse
densities exhibit a novel on-shell structure. Next, the kinetic equations are
considered to second order in gradients and the CP-violating source terms are
isolated. This requires a thorough discussion of a flavor independent
definition of charge-parity symmetry operation. To make a link with
baryogenesis in the supersymmetric extension of the Standard Model, we
construct the Green functions for the leading order kinetic operator and solve
the kinetic equations for two mixing fermions (charginos). We take account of
flavor blind damping, and consider the cases of inefficient and moderate
diffusion. The resulting densities are the CP-violating chargino currents that
source baryogenesis.
