Abstract
We prove perturbative renormalizability of projectable Ho\ifmmode \check{r}\else \v{r}\fi{}ava 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.
Highlights
The construction of a consistent theory of quantum gravity has remained one of the major challenges in theoretical physics for many decades
Working in the gauge with regular propagators we demonstrate, with methods along the lines of relativistic gauge theories, that projectable Horava gravity is perturbatively renormalizable in the strict sense
In this paper we have demonstrated renormalizability of the projectable version of Horava gravity
Summary
The construction of a consistent theory of quantum gravity has remained one of the major challenges in theoretical physics for many decades. [33] the one-loop counterterms for the gravitational effective action induced by a scalar field with Lifshitz scaling (see [34,35,36] for earlier works on this subject) were computed These counterterms were shown to have the same structure as the terms present in the bare action of Horava gravity, which suggests that if pure Horava gravity is renormalizable, it remains so upon inclusion of matter. IV we present a twoparameter family of gauges where the propagators are free from irregular contributions Using this class of regular gauges we evaluate the degree of divergence of a generic diagram in Sec. V and argue that only local counterterms that are relevant or marginal with respect to the anisotropic scaling are required to renormalize the theory.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
