We calculate the nucleonic and pionic dispersion relations at finite temper
ature (T) and non-vanishing chemical potentials (mu(f)) in the context of a
n effective chiral theory that describes the strong and electromagnetic int
eractions for nucleons and pions. The dispersion relations are calculated i
n the broken chiral symmetry phase, where the nucleons are massive and pion
s are taken as massless. The calculation is performed at lowest order in th
e energy expansion, working in the framework of the real time formalism of
thermal field theory in the Feynman gauge. These one-loop dispersion relati
ons are obtained at leading order with respect to T and mu(f). We also eval
uate the effective masses of the quasi-nucleon and quasi-pion excitations i
n thermal and chemical conditions as the ones of a neutron star.