4-D Quantum Dilaton Gravity During Inflation and Renormalization at One   loop
  We consider 4D quantum-dilaton gravity with the most general coupling in a homogeneous and isotropic universe, especially an inflationary one, which is essentially characterized by an exponentially expanding scale factor with time. We show that on the inflationary background this theory can be miraculously renormalized, at least at the one-loop level, which must be an effective theory during the inflation of the un-constructed complete quantum theory of gravity. 
Hiroyuki Takata (KEK Theory group and Hiroshima U.)