Euclidian 4d quantum gravity with a non-trivial measure term

Abstract

We explore an extended coupling constant space of 4d regularized Euclidean quantum gravity, defined via the formalism of dynamical triangulations. We add a measure term which can also serve as a generalized higher curvature term and determine the phase diagram and the geometries dominating in the various regions. A first order phase transition line is observed, but no second order transition point is located. As a consequence we cannot attribute any continuum physics interpretation to the so-called crinkled phase of 4d dynamical triangulations.

24 pages and many figures. A few references added in v2

References in corpus (6)

• Nonperturbative Quantum Gravity
• Asymptotic safety in higher-derivative gravity
• Fixed Points of Higher Derivative Gravity
• Taming perturbative divergences in asymptotically safe gravity
• Phase Transition in Dually Weighted Colored Tensor Models
• Continuum interpretation of the dynamical-triangulation formulation of quantum Einstein gravity

Cited by in corpus (29)

• Quantum Gravity from Causal Dynamical Triangulations: A Review
• Quantum gravity on foliated spacetime - asymptotically safe and sound
• Lattice Quantum Gravity and Asymptotic Safety
• Impact of topology in foliated Quantum Einstein Gravity
• Exploring Euclidean Dynamical Triangulations with a Non-trivial Measure Term
• Characteristics of the new phase in CDT
• Evidence for Asymptotic Safety from Dimensional Reduction in Causal Dynamical Triangulations
• Quantum Gravity as an Information Network: Self-Organization of a 4D Universe
• Impact of topology in causal dynamical triangulations quantum gravity
• Kähler-Dirac fermions on Euclidean dynamical triangulations
• The phase structure of Causal Dynamical Triangulations with toroidal spatial topology
• The de Sitter Instanton from Euclidean Dynamical Triangulations
• Exploring the new phase transition of CDT
• Tensor network formulation of two dimensional gravity
• Enhanced Forman curvature and its relation to Ollivier curvature
• Newtonian Binding from Lattice Quantum Gravity
• Euclidean Dynamical Triangulation revisited: is the phase transition really 1st order? (extended version)
• Canonical tensor model through data analysis -- Dimensions, topologies, and geometries --
• 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
• Euclidean Dynamical Triangulations Revisited
• Scalar fields in Causal Dynamical Triangulations
• Properties of dynamical fractal geometries in the model of Causal Dynamical Triangulations
• Minisuperspace results for causal dynamical triangulations
• Quantum Mechanics and the Continuum Limit of an Emergent Geometry
• Using massless fields for observing black hole features in the collapsed phase of Euclidean dynamical triangulations
• Landau Theory of Causal Dynamical Triangulations