Generalized uncertainty principle, quantum gravity and Hořava-Lifshitz gravity

Details Generalized uncertainty principle, quantum gravity and Hořava-Lifshitz gravity Generalized uncertainty principle, quantum gravity and Hořava-Lifshitz gravity

2009-09-11

arxiv.org/abs/0909.2075v2

Phys.Lett.B681:81-84,2009

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, typo-corrected version to appear in PLB

Scientific paper

10.1016/j.physletb.2009.09.062

We investigate a close connection between generalized uncertainty principle (GUP) and deformed Ho\v{r}ava-Lifshitz (HL) gravity. The GUP commutation relations correspond to the UV-quantum theory, while the canonical commutation relations represent the IR-quantum theory. Inspired by this UV/IR quantum mechanics, we obtain the GUP-corrected graviton propagator by introducing UV-momentum $p_i=p_{0i}(1+\beta p_{0}^2)$ and compare this with tensor propagators in the HL gravity. Two are the same up to $p_0^4$-order.

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