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Ho?ava gravity with mixed derivative terms: powercounting renormalizability with lower order dispersions

Colombo, Mattia; G�mr�k�o?lu, A. Emir; Sotiriou, Thomas P.

Authors

Mattia Colombo

A. Emir G�mr�k�o?lu

THOMAS SOTIRIOU Thomas.Sotiriou@nottingham.ac.uk
Professor of Gravitational Physics



Abstract

It has been argued that Hořava gravity needs to be extended to include terms that mix spatial and time derivatives in order to avoid unacceptable violations of Lorentz invariance in the matter sector. In an earlier paper we have shown that including such mixed derivative terms generically leads to 4th instead of 6th order dispersion relations and this could be (naïvely) interpreted as a threat to renormalizability. We have also argued that power counting renormalizability is not actually compromised, but instead the simplest power counting renormalizable model is not unitary. In this paper we consider the Lifshitz scalar as a toy theory and we generalize our analysis to include higher order operators. We show that models which are power counting renormalizable and unitary do exist. Our results suggest the existence of a new class of theories that can be thought of as Hořava gravity with mixed derivative terms.

Citation

Colombo, M., Gümrükçüoğlu, A. E., & Sotiriou, T. P. (2015). Hořava gravity with mixed derivative terms: powercounting renormalizability with lower order dispersions. Physical Review D - Particles, Fields, Gravitation and Cosmology, 92(6), Article 064037. https://doi.org/10.1103/PhysRevD.92.064037

Journal Article Type Article
Acceptance Date Sep 1, 2015
Online Publication Date Sep 22, 2015
Publication Date Sep 22, 2015
Deposit Date Mar 8, 2018
Print ISSN 1550-7998
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 92
Issue 6
Article Number 064037
DOI https://doi.org/10.1103/PhysRevD.92.064037
Public URL http://arxiv.org/abs/1503.07544
Publisher URL https://journals.aps.org/prd/abstract/10.1103/PhysRevD.92.064037