A formal BRST proof that one-loop divergences in conformal quantum gravity, pure or with matter, are invariant under local conformal transformations.
One-loop beta-functions for renormalisable gravity
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We compute the one-loop beta-functions for renormalisable quantum gravity coupled to scalars using the co-ordinate space approach and generalised Schwinger De Witt technique. We resolve apparent contradictions with the corresponding momentum space calculations, and indicate how our results also resolve similar inconsistencies in the fermion case.
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On the Renormalization in Conformal Quantum Gravity
A formal BRST proof that one-loop divergences in conformal quantum gravity, pure or with matter, are invariant under local conformal transformations.