Running gravitational couplings, decoupling, and curved spacetime renormalization

Abstract

We propose to slightly generalize the DeWitt-Schwinger adiabatic renormalization subtractions in curved space to include an arbitrary renormalization mass scale $\mu$. The new predicted running for the gravitational couplings are fully consistent with decoupling of heavy massive fields. This is a somewhat improvement with respect to the more standard treatment of minimal (DeWitt-Schwinger) subtractions via dimensional regularization. We also show how the vacuum metamorphosis model emerges from the running couplings.

Some points clarified, misprints corrected; to appear in Phys. Rev. D

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• Vacuum Energy and Renormalization of the Field-Independent Term