Mohamed M. Anber, John F. Donoghue
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.
View original:
http://arxiv.org/abs/1111.2875
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