  We examine the viability of the Affleck-Dine mechanism for baryogenesis under
radiatively induced running of soft breaking $({\rm mass})^2$ of the flat
directions stemming from non-zero energy density of the inflaton during
inflation. A major difference from analogous phenomenological studies is that
the horizon radius provides a natural infrared cut-off to the quantum
corrections in this case. We identify different scenarios which may arise and
point out that the $H_{u}L$ flat direction remains the most promising flat
direction, since it is largely independent of uncertainties about high scale
physics and details of the inflationary model.
