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.
Highlights
We compute the β functions of marginal couplings in projectable Horava gravity in 2 þ 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
This idea was revisited by Horava, who suggested that unitarity and perturbative renormalizability could be reconciled in theories of gravity without Lorentz invariance (LI) [4]
Summary
We compute the β functions of marginal couplings in projectable Horava gravity in 2 þ 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.
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