Locally Causal Dynamical Triangulations in Two Dimensions

Abstract

We analyze the universal properties of a new two-dimensional quantum gravity model defined in terms of Locally Causal Dynamical Triangulations (LCDT). Measuring the Hausdorff and spectral dimensions of the dynamical geometrical ensemble, we find numerical evidence that the continuum limit of the model lies in a new universality class of two-dimensional quantum gravity theories, inequivalent to both Euclidean and Causal Dynamical Triangulations.

References in corpus (7)

• Nonperturbative Quantum Gravity
• The Nonperturbative Quantum de Sitter Universe
• Second- and First-Order Phase Transitions in CDT
• A String Field Theory based on Causal Dynamical Triangulations
• Renormalization Group Flow in CDT
• Putting a cap on causality violations in CDT
• Euclidean Dynamical Triangulation revisited: is the phase transition really 1st order? (extended version)

Cited by in corpus (11)

• Quantum Gravity from Causal Dynamical Triangulations: A Review
• The Complete Barrett-Crane Model and its Causal Structure
• Phase transitions in TGFT: a Landau-Ginzburg analysis of Lorentzian quantum geometric models
• Quantum Flatness in Two-Dimensional CDT Quantum Gravity
• Time-space duality in 2D quantum gravity
• Capturing the phase diagram of (2+1)-dimensional CDT using a balls-in-boxes model
• Measuring the Homogeneity (or Otherwise) of the Quantum Universe
• Aspects of quantum gravity
• On the Nature of Spatial Universes in 3D Lorentzian Quantum Gravity
• Quantum Gravity, Hydrodynamics and Emergent Cosmology: A Collection of Perspectives
• Cosmology from a gauge induced gravity