Abstract
We show that there is no useful, universal definition of a running gravitational constant, , in the perturbative regime below the Planck scale. By consideration of the loop corrections to several physical processes, we show that the quantum corrections vary greatly, in both magnitude and sign, and do not exhibit the required properties of a running coupling constant. We comment on the potential challenges of these results for the asymptotic safety program.
- Received 21 February 2012
DOI:https://doi.org/10.1103/PhysRevD.85.104016
© 2012 American Physical Society