• Open Access

Renormalization of Hořava gravity

Andrei O. Barvinsky, Diego Blas, Mario Herrero-Valea, Sergey M. Sibiryakov, and Christian F. Steinwachs
Phys. Rev. D 93, 064022 – Published 8 March 2016

Abstract

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.

  • Received 7 January 2016

DOI:https://doi.org/10.1103/PhysRevD.93.064022

This article is available under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Andrei O. Barvinsky1,2,3, Diego Blas4, Mario Herrero-Valea5,6, Sergey M. Sibiryakov4,7,8, and Christian F. Steinwachs9

  • 1Theory Department, Lebedev Physics Institute, Leninsky Prospect 53, Moscow 119991, Moscow, Russia
  • 2Department of Physics, Tomsk State University, Lenin Avenue 36, Tomsk 634050, Tomsk Oblast, Russia
  • 3Department of Physics and Astronomy, Pacific Institue for Theoretical Physics, University of British Columbia, 6224 Agricultural Road, Vancouver, British Columbia V6T 1Z1, Canada
  • 4Theoretical Physics Department, CERN, CH-1211 Geneva 23, Geneva, Switzerland
  • 5Instituto de Física Teórica UAM/CSIC, C/ Nicolas Cabrera, 13-15, C.U. Cantoblanco, 28049 Madrid, Community of Madrid, Spain
  • 6Departamento de Física Teórica, Universidad Autónoma de Madrid, 20849 Madrid, Community of Madrid, Spain
  • 7Laboratory of Particle Physics and Cosmology, Institute of Physics, EPFL, CH-1015 Lausanne, Vaud, Switzerland
  • 8Institute for Nuclear Research of the Russian Academy of Sciences, 60th October Anniversary Prospect, 7a, 117312 Moscow, Moscow, Russia
  • 9Physikalisches Institut, Albert-Ludwigs-Universität Freiburg, Hermann-Herder-Strasse 3, 79104 Freiburg, Baden-Württemberg, Germany

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Issue

Vol. 93, Iss. 6 — 15 March 2016

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