arXiv:1002.3298·v2·High Energy Physics — Theory
CDT meets Horava-Lifshitz gravity
J. Ambjorn🇩🇰 · A. Gorlich🇵🇱 · S. Jordan🇳🇱 · J. Jurkiewicz🇵🇱 · R. Loll🇳🇱
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 Hořava. We show that the phase diagram of CDT bears a striking resemblance with the generic Lifshitz phase diagram appealed to by Hořava. We argue that CDT might provide a unifying nonperturbative framework for anisotropic as well as isotropic theories of quantum gravity.
Comments: 17 pages, 3 figures. Typos corrected, a few remarks added.