CDT meets Horava-Lifshitz gravity
arXiv:1002.3298 · doi:10.1016/j.physletb.2010.05.054
Abstract
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 HoÅava. We show that the phase diagram of CDT bears a striking resemblance with the generic Lifshitz phase diagram appealed to by HoÅava. We argue that CDT might provide a unifying nonperturbative framework for anisotropic as well as isotropic theories of quantum gravity.
17 pages, 3 figures. Typos corrected, a few remarks added.