Abstract
We study how quantum fluctuations of the metric in covariant Ho\v{r}ava-Lifshitz gravity influence the propagation of classical fields (complex scalar and photon). The effective Lorentz-symmetry violation induced by the breaking of 4-dimensional diffeomorphism is then evaluated, by comparing the dressed dispersion relations for both external fields. The constraint of vanishing 3-dimensional Ricci scalar is imposed in the path integral, which therefore explicitly depends on two propagating gravitational degrees of freedom only. Because the matter fields are classical, the present model contains only logarithmic divergences. Furthermore, it imposes the characteristic Ho\v{r}ava-Lifshitz scale, above which General Relativity is no-longer valid, to be smaller than $10^{10}$ GeV, if one wishes not to violate the current bounds on Lorentz symmetry violation.
| Original language | English |
|---|---|
| Article number | 024025 |
| Number of pages | 11 |
| Journal | Physical Review D (Particles, Fields, Gravitation and Cosmology) |
| Volume | 92 |
| Publication status | Published - 15 Jul 2015 |
Keywords
- hep-th
- hep-ph