Strong Coupling Quantum Einstein Gravity at a z=2 Lifshitz Point
High Energy Physics - Theory
2009-07-09 v2
Abstract
We solve a renormalized Wheeler-DeWitt equation for Einstein gravity in D+1 dimensions with D= odd in the strong coupling limit, which is expected to be suited to probe quantum geometry at short distances, in order to test Horava's idea that quantum gravity at short distances will be described by a nonrelativistic system with dynamical critical exponent z>1. Our results support the idea and show that the Wheeler-DeWitt equation possesses a solution associated with a z=2 Lifshitz point but no other z>2 solutions to leading order of the strong coupling expansion.
Cite
@article{arxiv.0905.4326,
title = {Strong Coupling Quantum Einstein Gravity at a z=2 Lifshitz Point},
author = {Makoto Sakamoto},
journal= {arXiv preprint arXiv:0905.4326},
year = {2009}
}
Comments
10 pages, Added references