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arXiv · 0909.2075

Generalized uncertainty principle, quantum gravity and Hořava-Lifshitz gravity

Yun Soo Myung
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Abstract

We investigate a close connection between generalized uncertainty principle (GUP) and deformed Hořava-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 $p_i=p_{0i}(1+βp_{0}^2)$ and compare this with tensor propagators in the HL gravity. Two are the same up to $p_0^4$-order.

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Yun Soo Myung. 2009-09-29. Generalized uncertainty principle, quantum gravity and Hořava-Lifshitz gravity. https://doi.org/10.1016/j.physletb.2009.09.062

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