  A recently proposed extension of the interaction flow method is applied to
exemplary cases of selected physical and methodical parameters for the
two-dimensional Hubbard model away from half-filling and perfect nesting. In
this scheme, the self-energy is calculated on the real-frequency axis and its
feedback on the flow of interactions is included in a simple manner via a
momentum-dependent quasi-particle weight. Results for two different types of
self-energy feedback are compared to the case without feedback and to existing
results stemming from calculations for imaginary frequencies. Various physical
and non-physical aspects which influence the outcome qualitatively and
quantitatively are addressed. Some tentative directions for future developments
are suggested.
