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Hořava gravity with mixed derivative terms

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Hořava 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.

Original languageEnglish
Article number044021
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number4
Publication statusPublished - 12 Feb 2015
Externally publishedYes


  • Hořava gravity

    Rights statement: Mattia Colombo, A. Emir Gümrükçüoğlu, and Thomas P. Sotiriou. 'Hořava gravity with mixed derivative terms'. Physical Review D. 91, 044021. DOI: 10.1103/PhysRevD.91.044021. © 2015 American Physical Society.

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