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Phys. Rev. D 76, 045015 (2007) [5 pages]

Quantum gravity and charge renormalization

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David J. Toms*
School of Mathematics and Statistics, Newcastle University, Newcastle upon Tyne NE1 7RU, United Kingdom

Received 10 April 2007; published 30 August 2007

We study the question of the gauge dependence of the quantum gravity contribution to the running gauge coupling constant for electromagnetism. The calculations are performed using dimensional regularization in a manifestly gauge-invariant and gauge-condition-independent formulation of the effective action. It is shown that there is no quantum gravity contribution to the running charge, and hence there is no alteration to asymptotic freedom at high energies as predicted by Robinson and Wilczek.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.76.045015
DOI:
10.1103/PhysRevD.76.045015
PACS:
11.10.Hi, 04.60.−m, 11.10.Gh, 11.15.−q

*http://www.staff.ncl.ac.uk/d.j.toms

d.j.toms@newcastle.ac.uk