Journal
PHYSICS LETTERS B
Volume 792, Issue -, Pages 142-148Publisher
ELSEVIER
DOI: 10.1016/j.physletb.2019.01.070
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Funding
- Netherlands Organisation for Scientific Research (NWO) within the Foundation for Fundamental Research on Matter (FOM) [13VP12]
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We set up a covariant renormalisation group equation on a foliated spacetime which preserves background diffeomorphism symmetry. As a first application of the new formalism, we study the effect of quantum fluctuations in Lorentz symmetry breaking theories of quantum gravity. It is found that once a small breaking is introduced e.g. at the Planck scale, quantum fluctuations enhance this breaking at low energies. A numerical analysis shows that the magnification is of order unity for trajectories compatible with a small cosmological constant. The immediate consequence is that the stringent observational constraints on Lorentz symmetry breaking are essentially scale-independent and must be met even at the Planck scale. (C) 2019 The Author(s). Published by Elsevier B.V.
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