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      FRG analysis of a multi-matrix model for 3d Lorentzian quantum gravity

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          Abstract

          At criticality, discrete quantum gravity models are expected to give rise to continuum spacetime. Recent progress has established the functional Renormalization Group method in the context of such models as a practical tool to study their critical properties and to chart their phase diagrams. Here, we apply these techniques to the multi-matrix model with ABAB-interaction potentially relevant for Lorentzian quantum gravity in 3 dimensions. We characterize the fixed-point structure and phase diagram of this model, paving the way for functional RG studies of more general multi-matrix or tensor models encoding causality.

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          Author and article information

          Journal
          ScienceOpen Posters
          ScienceOpen
          10 October 2020
          Affiliations
          [1 ] University of Heidelberg, SISSA Trieste
          [2 ] Universidade Federal Fluminense
          [3 ] University of Southern Denmark
          Article
          10.14293/S2199-1006.1.SOR-.PP53MPX.v1

          This work has been published open access under Creative Commons Attribution License CC BY 4.0 , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Conditions, terms of use and publishing policy can be found at www.scienceopen.com .

          Data sharing not applicable to this article as no datasets were generated or analysed during the current study.

          Theoretical physics, Physics

          Tensor Model, Quantum gravity, Quantum geometry, Matrix Model, Dynamical Triangulations, Random Geometry, Phase Transition, Causal Dynamical Triangulations

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