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Horava gravity with mixed derivative terms

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arxiv 1410.6360 v1 pith:XWWTWPTN submitted 2014-10-23 hep-th gr-qc

Mattia Colombo , A. Emir Gumrukcuoglu , Thomas P. Sotiriou This is my paper · ORCID
classification hep-thgr-qc
keywords termstheorybeenconsiderdiscussdivergencesgravityhorava
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Horava gravity has been constructed so as to exhibit anisotropic scaling in the ultraviolet, as this renders the theory power-counting renormalizable. However, when coupled to matter, the theory has been shown to suffer from quadratic divergences. A way to cure these divergences is to add terms with both time and space derivatives. We consider this extended version of the theory in detail. We perform a perturbative analysis that includes all modes, determine the propagators and discuss how including mixed-derivative terms affects them. We also consider the Lifshitz scalar with mixed-derivative terms as a toy model for power counting arguments and discuss the influence of such terms on renormalizability.

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Cited by 2 Pith papers

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  1. Lorentz Violation with Gravitational Waves: Constraints from NANOGrav and IPTA Data

    astro-ph.CO 2025-05 conditional novelty 6.0 of 10

    Using NANOGrav 15-year and IPTA second data release, this paper sets a 68% confidence lower bound of 10^-19 GeV on the Lorentz-violating scale M_LV in a modified gravity model.

  2. Constraints on parity and Lorentz violations from gravitational waves: a comparison between single-parameter and multi-parameter analysis

    gr-qc 2025-07 conditional novelty 5.0 of 10

    Multi-parameter and single-parameter gravitational-wave analyses yield comparable parity and Lorentz violation constraints for three models, but degeneracies weaken the multi-parameter result when two parameters modif...

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