3D Lorentzian Quantum Gravity from the asymmetric ABAB matrix model

Abstract

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 neighbourhood of its symmetric solution and deduce the associated renormalization of three-dimensional Lorentzian quantum gravity.

21 pages, typo in references corrected

References in corpus (4)

• A non-perturbative Lorentzian path integral for gravity
• Non-perturbative 3d Lorentzian Quantum Gravity
• On the relation between Euclidean and Lorentzian 2D quantum gravity
• Renormalization of 3d quantum gravity from matrix models

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• Causal Dynamical Triangulations in Four Dimensions
• A causal perspective on random geometry
• Pseudo-Cartesian coordinates in a model of Causal Dynamical Triangulations
• Topology induced first-order phase transitions in lattice quantum gravity