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arXiv · 1003.0009

Emergent Gravity at a Lifshitz Point from a Bose Liquid on the Lattice

Cenke Xu·Petr Horava
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Abstract

We propose a model with quantum bosons on the fcc lattice, which has a stable algebraic Bose liquid phase at low energy. We show that this phase is described by emergent quantum gravity at the Gaussian z = 3 Lifshitz fixed point in 3+1 dimensions. The stability of this algebraic Bose liquid phase is guaranteed by the gauge symmetry of gravitons and self-duality of the low energy field theory. By tuning one parameter in the lattice boson model we can drive a phase transition between the z = 3 Lifshitz gravity and another algebraic Bose liquid phase, described by gravity at the z = 2 Lifshitz point.

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Cenke Xu, Petr Horava. 2010-03-01. Emergent Gravity at a Lifshitz Point from a Bose Liquid on the Lattice. https://doi.org/10.1103/physrevd.81.104033

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