We propose a method to introduce Fock term contributions in relativistic mo
dels of fermions coupled to mesons, including self-interactions for the mes
onic fields. We show that effects on equilibrium properties and on the dyna
mical response of the fermionic system can be consistently accounted for. S
ome implications on equilibrium properties of asymmetric nuclear matter are
discussed. In particular an indication is emerging for a reduced contribut
ion of charged mesons to the symmetry term of the nuclear equation of state
around normal density.