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Running of the gravitational constant

Mohamed M. Anber1,* and John F. Donoghue2,3,†

  • 1Department of Physics, University of Toronto, Toronto, Ontario, M5S1A7, Canada
  • 2Department of Physics, University of Massachusetts, Amherst, Massachusetts 01003, USA
  • 3Niels Bohr International Academy and Discovery Center, Niels Bohr Institute, Blegdamsvej, 17 DK-2100 Copenhagen Denmark

  • *manber@physics.utoronto.ca
  • †donoghue@physics.umass.edu
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Phys. Rev. D 85, 104016 – Published 9 May, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.104016

Abstract

We show that there is no useful, 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.

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Phys. Rev. D 85, 104016– Published 9 May, 2012
  • Received 21 February 2012
Article part of CHORUS

© 2012 American Physical Society

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