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arXiv · 1706.06809

Hořava gravity is asymptotically free (in 2+1 dimensions)

Andrei O. Barvinsky·Diego Blas·Mario Herrero-Valea·Sergey M. Sibiryakov·Christian F. Steinwachs
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Abstract

We compute the $β$-functions of marginal couplings in projectable Hořava gravity in $2+1$ spacetime dimensions. We show that the renormalization group flow has an asymptotically-free fixed point in the ultraviolet (UV), establishing the theory as a UV-complete model with dynamical gravitational degrees of freedom. Therefore, this theory may serve as a toy-model to study fundamental aspects of quantum gravity. Our results represent a step forward towards understanding the UV properties of realistic versions of Hořava gravity.

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Andrei O. Barvinsky, Diego Blas, Mario Herrero-Valea, Sergey M. Sibiryakov, Christian F. Steinwachs. 2018-04-26. Hořava gravity is asymptotically free (in 2+1 dimensions). https://doi.org/10.1103/physrevlett.119.211301

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