Abstract
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 language | English |
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Article number | 044021 |
Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
Volume | 91 |
Issue number | 4 |
DOIs | |
Publication status | Published - 12 Feb 2015 |
Externally published | Yes |