Acta Physica Polonica B

Vol. 34, No. 10, October 2003, page 4667

3D Lorentzian Quantum Gravity from the Asymmetric ABAB Matrix Model

Jan Ambjorn, Jerzy Jurkiewicz, Renate Loll, Graziano Vernizzi

The asymmetric ABAB-matrix model describes the transfer matrix of three-dimensional Lorentzian quantum gravity. We study perturbatively the scaling of the ABAB-matrix model in the neighborhood of it's symmetric solution and deduce the associated renormalization of three-dimensional Lorentzian quantum gravity.

PACS numbers: 04.60.Gw, 04.20.Gz, 04.60.Kz, 04.60.Nc

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