CDT meets Horava-Lifshitz gravity

Abstract

The theory of causal dynamical triangulations (CDT) attempts to define a nonperturbative theory of quantum gravity as a sum over space-time geometries. One of the ingredients of the CDT framework is a global time foliation, which also plays a central role in the quantum gravity theory recently formulated by Hořava. We show that the phase diagram of CDT bears a striking resemblance with the generic Lifshitz phase diagram appealed to by Hořava. We argue that CDT might provide a unifying nonperturbative framework for anisotropic as well as isotropic theories of quantum gravity.

17 pages, 3 figures. Typos corrected, a few remarks added.

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Cited by in corpus (79)

• Nonperturbative Quantum Gravity
• Quantum Gravity from Causal Dynamical Triangulations: A Review
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• Horava-Lifshitz Gravity From Dynamical Newton-Cartan Geometry
• Renormalization of Horava Gravity
• Geometry and field theory in multi-fractional spacetime
• A second-order phase transition in CDT
• General Covariance in Gravity at a Lifshitz Point
• Second- and First-Order Phase Transitions in CDT
• The Semiclassical Limit of Causal Dynamical Triangulations
• Evidence for Asymptotic Safety from Lattice Quantum Gravity
• A functional renormalization group equation for foliated spacetimes
• Quantizing Horava-Lifshitz Gravity via Causal Dynamical Triangulations
• 2d CDT is 2d Horava-Lifshitz quantum gravity
• Renormalization Group Flow in CDT
• Scalar Field Theories with Polynomial Shift Symmetries
• Quantum Gravity via Causal Dynamical Triangulations
• From dispersion relations to spectral dimension - and back again
• Asymptotic freedom in Horava-Lifshitz gravity
• Status of Horava gravity: A personal perspective
• Renormalization group flow of Hořava-Lifshitz gravity at low energies
• One-loop renormalization in a toy model of Horava-Lifshitz gravity
• Characteristics of the new phase in CDT
• Discrete to continuum transition in multifractal spacetimes
• Geometry of the quantum universe
• De Sitter Universe from Causal Dynamical Triangulations without Preferred Foliation
• The effective action in 4-dim CDT. The transfer matrix approach
• Impact of topology in causal dynamical triangulations quantum gravity
• Spacetime condensation in (2+1)-dimensional CDT from a Horava-Lifshitz minisuperspace model
• The phase structure of Causal Dynamical Triangulations with toroidal spatial topology
• Four-dimensional CDT with toroidal topology
• Spin-base invariance of Fermions in arbitrary dimensions
• Quantization of Horava Gravity in 2+1 Dimensions
• Towards the map of quantum gravity
• The transfer matrix in four-dimensional CDT
• CDT---an Entropic Theory of Quantum Gravity
• Dynamical dimensional reduction in toy models of 4D causal quantum gravity
• More on "Little Lambda" in Hořava-Lifshitz Gravity
• Quantization of the Horava theory at the kinetic-conformal point
• Pseudo-topological transitions in 2D gravity models coupled to massless scalar fields
• A first look at transition amplitudes in (2+1)-dimensional causal dynamical triangulations
• The phase diagram of the multi-matrix model with ABAB-interaction from functional renormalization
• Non-Linear Sigma Model and asymptotic freedom at the Lifshitz point
• Finite Action Principle and Horava-Lifshitz Gravity: early universe, black holes and wormholes
• CDT and Cosmology
• Coupling a Point-Like Mass to Quantum Gravity with Causal Dynamical Triangulations
• Renormalization of lattice-regularized quantum gravity models II. The case of causal dynamical triangulations
• Towards a unitary, renormalizable and ultraviolet-complete quantum theory of gravity
• Hypothesis on the Nature of Time
• The effective kinetic term in CDT
• Causal Dynamical Triangulations in Four Dimensions
• Lattice quantum gravity - an update
• Capturing the phase diagram of (2+1)-dimensional CDT using a balls-in-boxes model
• Critical Phenomena in Causal Dynamical Triangulations
• A model for emergence of space and time
• Extrinsic curvature in 2-dimensional Causal Dynamical Triangulation
• A c=1 phase transition in two-dimensional CDT/Horava-Lifshitz gravity?
• Challenges for Emergent Gravity
• Scalar fields in Causal Dynamical Triangulations
• Quantum Lagrangian of the Horava theory and its nonlocalities
• Properties of dynamical fractal geometries in the model of Causal Dynamical Triangulations
• The spectral dimension in 2D CDT gravity coupled to scalar fields
• Creating 3, 4, 6 and 10-dimensional spacetime from W3 symmetry
• Quantum Gravity as a Multitrace Matrix Model
• Ultralocal nature of geometrogenesis
• Localization of particles in quantum field theory
• On the foundations of quantum theory
• Hidden Lorentz symmetry of the Horava - Lifshitz gravity
• A local induced action for the noncritical string
• Quantum Gravity, Hydrodynamics and Emergent Cosmology: A Collection of Perspectives
• Spectral dimension in graph models of causal quantum gravity
• Perturbed generalized multicritical one-matrix models
• CDT and Horava-Lifshitz QG in Two Dimensions
• Aspects of dynamical dimensional reduction in multigraph ensembles of CDT
• Three-dimensional gravity and deformations of relativistic symmetries
• Landau Theory of Causal Dynamical Triangulations
• Analysis of the Semiclassical Solution of CDT
• Making the case for causal dynamical triangulations
• Endeavours in Discrete Lorentzian Geometry; A thesis in five papers