  In general line with our first work [Yu.A. Markov, M.A. Markova, Nucl. Phys.
A 770 (2006) 162] within the framework of semiclassical approximation a general
theory for the scattering processes of soft (anti)quark excitations off hard
thermal particles in hot QCD-medium is thoroughly considered. The dynamical
equations describing evolution for the usual classical color charge $Q^a(t)$
and Grassmann color charges $\theta^i(t), \theta^{\dagger i}(t)$ of hard
particle taking into account the soft fermion degree of freedom of the system
are suggested. On the basis of these equations and the Blaizot-Iancu equations
iterative procedure of calculation of effective currents and sources generating
the scattering processes under consideration is defined and their form up to
third order in powers of free soft quark field, soft gluon one, and initial
values of the color charges of hard particle is explicitly calculated. With use
of the generalized Tsytovich principle a connection between matrix elements of
the scattering processes and the effective currents and sources is established.
In the context of the effective theory suggested for soft and hard fermion
excitations new mechanisms of energy losses of high-energy parton propagating
through QCD-medium are considered.
