Spectral dimension as a probe of the ultraviolet continuum regime of causal dynamical triangulations
arXiv:1105.5646 · doi:10.1103/PhysRevLett.107.131303
Abstract
We explore the ultraviolet continuum regime of causal dynamical triangulations, as probed by the flow of the spectral dimension. We set up a framework in which one can find continuum theories that can in principle fully reproduce the behaviour of the latter in this regime. In particular, we show that, in 2+1 dimensions, Hovrava-Lifshitz gravity can mimic the flow of the spectral dimension in causal dynamical triangulations to high accuracy and over a wide range of scales. This seems to provide evidence for an important connection between the two theories.
v1: 5 pages, 3 figures; v2: 4 pages, minor changes to match published version
References in corpus (7)
- Quantum Gravity at a Lifshitz Point
- Spectral Dimension of the Universe in Quantum Gravity at a Lifshitz Point
- Phenomenologically viable Lorentz-violating quantum gravity
- Lorentz symmetry breaking as a quantum field theory regulator
- Horava-Lifshitz gravity: a status report
- From dispersion relations to spectral dimension - and back again
- Lower-dimensional Horava-Lifshitz gravity
Cited by in corpus (59)
- Quantum Einstein Gravity
- Nonperturbative Quantum Gravity
- Network Geometry
- Hořava Gravity at a Lifshitz Point: A Progress Report
- Renormalization of Horava Gravity
- Geometry and field theory in multi-fractional spacetime
- Fractal space-times under the microscope: A Renormalization Group view on Monte Carlo data
- Probing the quantum nature of spacetime by diffusion
- A functional renormalization group equation for foliated spacetimes
- Quantizing Horava-Lifshitz Gravity via Causal Dynamical Triangulations
- Multifractional theories: an unconventional review
- Multi-scale gravity and cosmology
- Diffusion in multiscale spacetimes
- Asymptotic Safety, Fractals, and Cosmology
- Dimensional reduction in the sky
- From dispersion relations to spectral dimension - and back again
- Towards phase transitions between discrete and continuum quantum spacetime from the Renormalization Group
- Network Geometry and Complexity
- Multiscale spacetimes from first principles
- Diffusion in quantum geometry
- Spectral dimension in causal set quantum gravity
- Inflation and fractional quantum cosmology
- Planck-scale dimensional reduction without a preferred frame
- Quantum Gravity signatures in the Unruh effect
- Holographic, new agegraphic and ghost dark energy models in fractal cosmology
- Laplacians on discrete and quantum geometries
- ABC of multi-fractal spacetimes and fractional sea turtles
- Spectral Dimension from Nonlocal Dynamics on Causal Sets
- Towards the map of quantum gravity
- Multifractional spacetimes, asymptotic safety and Hořava-Lifshitz gravity
- Fractal Spacetimes in Stochastic Gravity? -- Views from Anomalous Diffusion and the Correlation Hierarchy
- Spectral dimensions from the spectral action
- Metric dimensional reduction at singularities with implications to Quantum Gravity
- Symmetries and propagator in multifractional scalar field theory
- Quantum spectral dimension in quantum field theory
- Feynman's i-epsilon prescription, almost real spacetimes, and acceptable complex spacetimes
- Quantization of the Horava theory at the kinetic-conformal point
- Echoes of Asymptotic Silence in Causal Set Quantum Gravity
- Introduction to multifractional spacetimes
- Standard Model in multiscale theories and observational constraints
- The phase diagram of the multi-matrix model with ABAB-interaction from functional renormalization
- Renormalization of lattice-regularized quantum gravity models II. The case of causal dynamical triangulations
- Particle-physics constraints on multifractal spacetimes
- Hypothesis on the Nature of Time
- Spin effects and compactification
- Singular General Relativity
- Extrinsic curvature in 2-dimensional Causal Dynamical Triangulation
- How not to establish the non-renormalizability of gravity
- Dimensional flow in the kappa-deformed space-time
- Asymptotically Weyl-Invariant Gravity
- A vacuum solution of modified Einstein equations based on fractional calculus
- Geometry of fractional spaces
- Finite entanglement entropy and spectral dimension in quantum gravity
- Localization and diffusion in polymer quantum field theory
- The (2+1)-dim Axial Universes -- Solutions to the Einstein Equations, Dimensional Reduction Points, and Klein-Fock-Gordon Waves
- Spectral Dimension of kappa-deformed space-time
- Spectral dimension in graph models of causal quantum gravity
- Aspects of dynamical dimensional reduction in multigraph ensembles of CDT
- Analogy between turbulence and quantum gravity: beyond Kolmogorov's 1941 theory