  We discuss motivation and goals of renormalization analyses of group field
theory models of simplicial 4d quantum gravity, and review briefly the status
of this research area. We present some new computations of perturbative GFT
(spin foam) amplitudes, concerning in particular the scaling behaviour of
radiative corrections to N-point functions. Finally, we single out key open
issues and suggest a number of research directions for further progress in this
area.
