Imposing causality on a matrix model

Abstract

We introduce a new matrix model that describes Causal Dynamical Triangulations (CDT) in two dimensions. In order to do so, we introduce a new, simpler definition of 2D CDT and show it to be equivalent to the old one. The model makes use of ideas from dually weighted matrix models, combined with multi-matrix models, and can be studied by the method of character expansion.

9 pages, 2 figures; slightly extended version with more details on the character expansion

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Cited by in corpus (16)

• Nonperturbative Quantum Gravity
• Colored Tensor Models - a Review
• Phase Transition in Dually Weighted Colored Tensor Models
• Emergent Models for Gravity: an Overview of Microscopic Models
• De Sitter Universe from Causal Dynamical Triangulations without Preferred Foliation
• Universal critical behavior in tensor models for four-dimensional quantum gravity
• The Complete Barrett-Crane Model and its Causal Structure
• Fixed-Topology Lorentzian Triangulations: Quantum Regge Calculus in the Lorentzian Domain
• An Analytical Analysis of CDT Coupled to Dimer-like Matter
• Towards background independent quantum gravity with tensor models
• The phase diagram of the multi-matrix model with ABAB-interaction from functional renormalization
• Quantum widening of CDT universe
• Aspects of quantum gravity
• The Tensor Track VIII: Stochastic Analysis
• Phase transitions in TGFT: Landau-Ginzburg analysis of the causally complete Lorentzian Barrett-Crane model
• A Renormalization Group Analysis of the Ising Model Coupled to Causal Dynamical Triangulations