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Asymptotic freedom in (3+1)-dimensional projectable Horava gravity: connecting ultraviolet to infrared

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arxiv 2310.07841 v1 pith:5CVCJ5TI submitted 2023-10-11 hep-th gr-qc

Andrei O. Barvinsky , Alexander V. Kurov , Sergey M. Sibiryakov This is my paper · ORCID
classification hep-thgr-qc
keywords flowultravioletconnectingfixedgravityhoravainfraredpoints
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abstract

We investigate the renormalization group flow of projectable Horava gravity in $(3+1)$ dimensions generated by marginal operators with respect to the Lifshitz scaling. The flow possesses a number of asymptotically free fixed points. We find a family of trajectories connecting one of these fixed points in the ultraviolet to the region of the parameter space where the kinetic term of the theory acquires the general relativistic form. The gravitational coupling exhibits non-monotonic behavior along the flow, vanishing both in the ultraviolet and the infrared.

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  1. Anisotropic quantum universe in Ho\v{r}ava-Lifshitz gravity

    gr-qc 2025-05 conditional novelty 6.0 of 10

    In the small-universe limit of Horava-Lifshitz gravity, the Wheeler-DeWitt equation separates and the anisotropy wave functions become normalizable harmonic-oscillator states, predicting small initial anisotropies set...

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