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Renormalization of Hořava gravity

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Andrei O. Barvinsky, Diego Blas, Mario Herrero-Valea, Sergey M. Sibiryakov, Christian F. Steinwachs

Original languageEnglish
Article number064022
JournalPhysical Review D (Particles, Fields, Gravitation and Cosmology)
Early online date8 Mar 2016
Accepted/In press4 Feb 2016
E-pub ahead of print8 Mar 2016
Published8 Mar 2016


King's Authors


We prove perturbative renormalizability of projectable Hořava gravity. The key element of the argument is the choice of a gauge which ensures the correct anisotropic scaling of the propagators and their uniform falloff at large frequencies and momenta. This guarantees that the counterterms required to absorb the loop divergences are local and marginal or relevant with respect to the anisotropic scaling. Gauge invariance of the counterterms is achieved by making use of the background-covariant formalism. We also comment on the difficulties of this approach when addressing the renormalizability of the nonprojectable model.

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