CDT meets Horava-Lifshitz gravity

Details CDT meets Horava-Lifshitz gravity CDT meets Horava-Lifshitz gravity

2010-02-17

arxiv.org/abs/1002.3298v2

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, 3 figures. Typos corrected, a few remarks added.

Scientific paper

The theory of causal dynamical triangulations (CDT) attempts to define a nonperturbative theory of quantum gravity as a sum over space-time geometries. One of the ingredients of the CDT framework is a global time foliation, which also plays a central role in the quantum gravity theory recently formulated by Ho\v{r}ava. We show that the phase diagram of CDT bears a striking resemblance with the generic Lifshitz phase diagram appealed to by Ho\v{r}ava. We argue that CDT might provide a unifying nonperturbative framework for anisotropic as well as isotropic theories of quantum gravity.

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