Asymptotic freedom in Horava-Lifshitz gravity

We use the Wetterich equation for foliated spacetimes to study the RG flow of projectable Horava-Lifshitz gravity coupled to n Lifshitz scalars. Using novel results for anisotropic heat kernels, the matter-induced beta functions for the gravitational couplings are computed explicitly. The RG flow ex...

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Bibliographic Details
Published inarXiv.org
Main Authors D'Odorico, Giulio, Saueressig, Frank, Schutten, Marrit
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 17.06.2014
Subjects
Anisotropy
Asymptotic properties
Couplings
Fixed points (mathematics)
Gravitation
Physics - General Relativity and Quantum Cosmology
Physics - High Energy Physics - Theory
Scalars
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Summary:We use the Wetterich equation for foliated spacetimes to study the RG flow of projectable Horava-Lifshitz gravity coupled to n Lifshitz scalars. Using novel results for anisotropic heat kernels, the matter-induced beta functions for the gravitational couplings are computed explicitly. The RG flow exhibits an UV attractive anisotropic Gaussian fixed point where Newton's constant vanishes and the extra scalar mode decouples. This fixed point ensures that the theory is asymptotically free in the large-n expansion, indicating that projectable Horava-Lifshitz gravity is perturbatively renormalizable. Notably, the fundamental fixed point action does not obey detailed balance.
ISSN:2331-8422
DOI:10.48550/arxiv.1406.4366