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

References in corpus (3)

• Running vacuum in quantum field theory in curved spacetime: renormalizing ${\rho }_{vac}$ without $\sim m^4$ terms
• Form factors and decoupling of matter fields in four-dimensional gravity
• Vacuum effective actions and mass-dependent renormalization in curved space