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Hamburg 2016 – scientific programme

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GR: Fachverband Gravitation und Relativitätstheorie

GR 17: Quantum Gravity IV

GR 17.4: Talk

Friday, March 4, 2016, 12:15–12:35, VMP6 HS A

Renormalization of Hořava Gravity — •Christian F. Steinwachs1, Andrei O. Barvinsky2,3, Diego Blas4, Mario Herrero-Valea5, and Sergey M. Sibiryakov4,6,71Physikalisches Institut, Albert-Ludwigs-Universität, Freiburg — 2Theory Department, Lebedev Physics Institute, Moscow — 3Pacific Institue for Theoretical Physics, Department of Physics and Astronomy UBC, Vancouver — 4CERN, Theory Division, Geneva — 5Instituto de Física Teórica UAM/CSIC, Madrid — 6Institut de Théorie des Phénomènes Physiques, Lausanne — 7Institute for Nuclear Research of the Russian Academy of Sciences, Moscow

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 non-projectable model.

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