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

References in corpus (7)

• Quantum Gravity at a Lifshitz Point
• Spectral Dimension of the Universe in Quantum Gravity at a Lifshitz Point
• Nonperturbative Quantum Gravity
• The Nonperturbative Quantum de Sitter Universe
• General Covariance in Gravity at a Lifshitz Point
• Second- and First-Order Phase Transitions in CDT
• The Semiclassical Limit of Causal Dynamical Triangulations

Cited by in corpus (10)

• The Renormalization Group flow of unimodular f(R) gravity
• Asymptotic freedom in Horava-Lifshitz gravity
• Towards phase transitions between discrete and continuum quantum spacetime from the Renormalization Group
• Evidence for Asymptotic Safety from Dimensional Reduction in Causal Dynamical Triangulations
• Propagating gravitons vs. dark matter in asymptotically safe quantum gravity
• Spin-base invariance of Fermions in arbitrary dimensions
• Wilson loops in CDT quantum gravity
• Scale-dependent homogeneity measures for causal dynamical triangulations
• The spectral dimension in 2D CDT gravity coupled to scalar fields
• Endeavours in Discrete Lorentzian Geometry; A thesis in five papers