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. Barvinsky^2,3, Diego Blas⁴, Mario Herrero-Valea⁵, and Sergey M. Sibiryakov^4,6,7 — ¹Physikalisches 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.