On the running of the gravitational constant

We show that there is no useful and universal definition of a running gravitational constant, G(E), 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.

Note:

13 pages, references added

04.60.Bc
11.10.Hi
11.10.Gh
gravitation: fundamental constant: energy dependence
correction: quantum
scale: Planck
asymptotic safety
coupling constant: energy dependence
regularization: dimensional
scattering amplitude

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