Generalized uncertainty principle and Hořava-Lifshitz gravity

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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14 pages, 2 figures, version to appear in PLB

Scientific paper

10.1016/j.physletb.2009.08.030

We explore a connection between generalized uncertainty principle (GUP) and modified Ho\v{r}ava-Lifshitz (HL) gravity. The GUP density function may be replaced by the cutoff function for the renormalization group of modified Ho\v{r}ava-Lifshitz gravity. We find the GUP-corrected graviton propagators and compare these with tensor propagators in the HL gravity. Two are qualitatively similar, but the $p^5$-term arisen from Cotton tensor is missed in the GUP-corrected graviton propagator.

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