  In an approximation where the baryon current conservation is violated, the
contribution of the $k_\mu k_\nu $ terms in the vector meson propagator may not
vanish. Their effects on the baryon and meson spectral functions and on the
consequences of self-consistency are studied in the relativistic
self-consistent Hartree-Fock approximation by means of the $\sigma -\omega $
model. Two cases where the $k_\mu k_\nu $ terms are and are not neglected are
compared. It is found that there is a marked change in the baryon spectral
function which becomes more peaked in the latter case. Such a change remains
even by a proper readjustment of parameters. The effects of self-consistency in
the $\sigma -\omega $ model are qualitatively the same in both cases, though
quantitatively there is some significant difference.
