  We construct a group field theory model for quantum gravity minimally coupled
to relativistic scalar fields, defining as well a corresponding discrete
gravity path integral (and, implicitly, a coupled spin foam model) in its
Feynman expansion. We also analyze a number of variations of the same model,
the corresponding discrete gravity path integrals, its generalization to the
coupling of multiple scalar fields and discuss its possible applications to the
extraction of effective cosmological dynamics from the full quantum gravity
formalism, in the context of group field theory condensate cosmology.
