Renormalization Group Flow in CDT

Abstract

We perform a first investigation of the coupling constant flow of the nonperturbative lattice model of four-dimensional quantum gravity given in terms of Causal Dynamical Triangulations (CDT). After explaining how standard concepts of lattice field theory can be adapted to the case of this background-independent theory, we define a notion of "lines of constant physics" in coupling constant space in terms of certain semiclassical properties of the dynamically generated quantum universe. Determining flow lines with the help of Monte Carlo simulations, we find that the second-order phase transition line present in this theory can be interpreted as a UV phase transition line if we allow for an anisotropic scaling of space and time.

Typos corrected, 21 pages

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• Towards phase transitions between discrete and continuum quantum spacetime from the Renormalization Group
• Renormalization of symmetry restricted spin foam models with curvature in the asymptotic regime
• Infinite order quantum-gravitational correlations
• Evidence for Asymptotic Safety from Dimensional Reduction in Causal Dynamical Triangulations
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• Spacetime condensation in (2+1)-dimensional CDT from a Horava-Lifshitz minisuperspace model
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• Towards the map of quantum gravity
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• Inequivalent coherent state representations in group field theory
• A first look at transition amplitudes in (2+1)-dimensional causal dynamical triangulations
• Towards an UV fixed point in CDT gravity
• The phase diagram of the multi-matrix model with ABAB-interaction from functional renormalization
• CDT and Cosmology
• Locally Causal Dynamical Triangulations in Two Dimensions
• Wilson loops in CDT quantum gravity
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• Scale-dependent homogeneity measures for causal dynamical triangulations
• The higher-order phase transition in toroidal CDT
• Extrinsic curvature in 2-dimensional Causal Dynamical Triangulation
• Pseudo-Cartesian coordinates in a model of Causal Dynamical Triangulations
• Capturing the phase diagram of (2+1)-dimensional CDT using a balls-in-boxes model
• Scalar fields in Causal Dynamical Triangulations
• Is Lattice Quantum Gravity Asymptotically Safe? Making contact between Causal Dynamical Triangulations and the Functional Renormalization Group
• Measuring the Homogeneity (or Otherwise) of the Quantum Universe
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• The spectral dimension in 2D CDT gravity coupled to scalar fields
• Setting the physical scale of dimensional reduction in causal dynamical triangulations
• Scaling analyses of the spectral dimension in 3-dimensional causal dynamical triangulations
• A second look at transition amplitudes in (2+1)-dimensional causal dynamical triangulations
• Using massless fields for observing black hole features in the collapsed phase of Euclidean dynamical triangulations
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