Renormalization of 3d quantum gravity from matrix models

Details Renormalization of 3d quantum gravity from matrix models Renormalization of 3d quantum gravity from matrix models

2003-07-27

arxiv.org/abs/hep-th/0307263v1

Phys.Lett. B581 (2004) 255-262

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 3 figures

Scientific paper

10.1016/j.physletb.2003.11.068

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.

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