  We calculate the fermionic dispersion relations in the minimal standard model
at finite temperature in presence of non-vanishing chemical potentials due to
the CP-asymmetric fermionic background. The dispersion relations are calculated
for a vacuum expectation value of the Higgs field equal to zero (unbroken
electroweak symmetry). The calculation is performed in the real time formalism
of the thermal field theory at one-loop order in a general $\xi$ gauge. The
fermionic self-energy is calculated at leading order in temperature and
chemical potential and this fact permits us to obtain gauge invariant
analytical expressions for the dispersion relations.
