Projective Invariance and One-Loop Effective Action in Affine-Metric   Gravity Interacting with Scalar Field
  We investigate the influence of the projective invariance on the renormalization properties of the theory. One-loop counterterms are calculated in the most general case of interaction of gravity with scalar field. 
M.Yu.Kalmykov, P.I.Pronin and K.V.Stepanyantz