Renormalization of Hořava gravity

TY - JOUR

T1 - Renormalization of Hořava gravity

AU - Barvinsky, Andrei O.

AU - Blas, Diego

AU - Herrero-Valea, Mario

AU - Sibiryakov, Sergey M.

AU - Steinwachs, Christian F.

PY - 2016/3/8

Y1 - 2016/3/8

N2 - 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.

AB - 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.

KW - High Energy Physics - Theory, General Relativity and Quantum Cosmology

U2 - 10.1103/PhysRevD.93.064022

DO - 10.1103/PhysRevD.93.064022

M3 - Article

SN - 1550-7998

VL - 93

JO - Physical Review D (Particles, Fields, Gravitation and Cosmology)

JF - Physical Review D (Particles, Fields, Gravitation and Cosmology)

M1 - 064022

ER -