Spacetime condensation in (2+1)-dimensional CDT from a Horava-Lifshitz minisuperspace model

Abstract

A spacetime condensation phenomenon underlies the emergence of a macroscopic universe in causal dynamical triangulations, where the time extension of the condensate is strictly smaller than the total time. It has been known for some time that the volumes of spatial slices in the bulk of the macroscopic universe follow a time evolution which resembles that of a sphere, and their effective dynamics is well described by a minisuperspace reduction of the general relativistic action. More recently, it has been suggested that the same minusuperspace model can also provide an understanding of the condensation phenomenon itself, thus explaining the presence of an extended droplet of spacetime connected to a stalk of minimal spatial extension. We show here that a minisuperspace model based on the general relativistic action fails in that respect for the (2+1)-dimensional case, while a successful condensation is obtained from a minisuperspace model of Horava-Lifshitz gravity.

32 pages, 5 figures; three new references and several minor improvements

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Cited by in corpus (21)

• Quantum Gravity from Causal Dynamical Triangulations: A Review
• Hořava Gravity at a Lifshitz Point: A Progress Report
• Renormalization of Horava Gravity
• Functional Renormalisation Group analysis of Tensorial Group Field Theories on ${\mathbb{R}}^d$
• Renormalization of an Abelian Tensor Group Field Theory: Solution at Leading Order
• The phase structure of Causal Dynamical Triangulations with toroidal spatial topology
• Quantization of the Horava theory at the kinetic-conformal point
• The phase diagram of the multi-matrix model with ABAB-interaction from functional renormalization
• A phase space description of the FLRW quantum cosmology in Ho$\check{\mathrm{r}}$ava-Lifshitz type gravity
• Extrinsic curvature in 2-dimensional Causal Dynamical Triangulation
• Capturing the phase diagram of (2+1)-dimensional CDT using a balls-in-boxes model
• Scaling analyses of the spectral dimension in 3-dimensional causal dynamical triangulations
• Generalized Uncertainty Principle effects in the Hořava-Lifshitz quantum theory of gravity
• A second look at transition amplitudes in (2+1)-dimensional causal dynamical triangulations
• On the Nature of Spatial Universes in 3D Lorentzian Quantum Gravity
• Euclidean Wormholes in Horava-Lifshitz Gravity
• Quantum Gravity, Hydrodynamics and Emergent Cosmology: A Collection of Perspectives
• CDT and Horava-Lifshitz QG in Two Dimensions
• On the energy flow of $\lambda$ in Hořava-Lifshitz cosmology
• Lorentzian Vacuum Transitions in Hořava-Lifshitz Gravity
• Landau Theory of Causal Dynamical Triangulations