Funded by The Danish National Research Foundation

MPS-RR 2004-6

February 2004

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) nonrenormalizable gravitational coupling constant undergo additive renormalizations consistent with canonical quantization.

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