Renormalization of 3d quantum gravity from matrix models
High Energy Physics - Theory
2009-11-10 v1
Abstract
Lorentzian simplicial quantum gravity is a non-perturbatively defined theory of quantum gravity which predicts a positive cosmological constant. Since the approach is based on a sum over space-time histories, it is perturbatively non-renormalizable even in three dimensions. By mapping the three-dimensional theory to a two-matrix model with ABAB interaction we show that both the cosmological and the (perturbatively) non-renormalizable gravitational coupling constant undergo additive renormalizations consistent with canonical quantization.
Keywords
Cite
@article{arxiv.hep-th/0307263,
title = {Renormalization of 3d quantum gravity from matrix models},
author = {J. Ambjorn and J. Jurkiewicz and R. Loll},
journal= {arXiv preprint arXiv:hep-th/0307263},
year = {2009}
}
Comments
14 pages, 3 figures