4d Simplicial Quantum Gravity with a Non-Trivial Measure

Abstract

We study 4d simplicial quantum gravity in the dynamical triangulation approach with a non-trivial class of measures. We find that the measure contribution plays an important role, influencing the phase diagram and the nature of the (possible) critical theory. We discuss how the lattice theory could be used to fix the quantum measure in a non-ambiguous way.

4 pages text, 4 figures on 1 page included as postscript file

References in corpus (2)

• Critical Behavior of Dynamically Triangulated Quantum Gravity in Four Dimensions
• Influence of the Measure on Simplicial Quantum Gravity in Four Dimensions

Cited by in corpus (55)

• Loop Quantum Gravity
• Discrete approaches to quantum gravity in four dimensions
• Condensation in the Backgammon model
• Scaling in four dimensional quantum gravity
• Evidence for Asymptotic Safety from Lattice Quantum Gravity
• Phase Structure of Four Dimensional Simplicial Quantum Gravity
• Lattice Quantum Gravity and Asymptotic Safety
• Quantum Gravity via Causal Dynamical Triangulations
• Adaptive mesh and geodesically sliced Schwarzschild spacetime in 3+1 dimensions
• Exploring Euclidean Dynamical Triangulations with a Non-trivial Measure Term
• Singular Vertices and the Triangulation Space of the D-sphere
• Euclidian 4d quantum gravity with a non-trivial measure term
• 4d Simplicial Quantum Gravity: Matter Fields and the Corresponding Effective Action
• Exploring complex networks via topological embedding on surfaces
• Kähler-Dirac fermions on Euclidean dynamical triangulations
• Remarks on the entropy of 3-manifolds
• On the Absence of an Exponential Bound in Four Dimensional Simplicial Gravity
• The de Sitter Instanton from Euclidean Dynamical Triangulations
• Simulations of Dynamically Triangulated Gravity -- an Algorithm for Arbitrary Dimension
• 4D Quantum Gravity Coupled to Matter
• Newtonian Binding from Lattice Quantum Gravity
• Overview and Outlook
• Entropy and the Approach to the Thermodynamic Limit in Three-Dimensional Simplicial Gravity
• Dynamical Triangulations, a Gateway to Quantum Gravity ?
• More on the exponential bound of four dimensional simplicial quantum gravity
• Entropy of random coverings and 4D quantum gravity
• Lattice Gravity and Random Surfaces
• Simulating Four-Dimensional Simplicial Gravity using Degenerate Triangulations
• 3d quantum gravity coupled to matter
• Singular Vertices in the Strong Coupling Phase of Four--Dimensional Simplicial Gravity
• Continuum interpretation of the dynamical-triangulation formulation of quantum Einstein gravity
• Alternative actions for quantum gravity and the intrinsic rigidity of the spacetime
• Monte Carlo simulations of 4d simplicial quantum gravity
• A Renormalization Group for Dynamical Triangulations in Arbitrary Dimensions
• Phase Structure of Dynamical Triangulation Models in Three Dimensions
• Three-Dimensional Simplicial Gravity and Degenerate Triangulations
• Lattice quantum gravity with scalar fields
• Simplicial Quantum Gravity on a Computer
• Random Surfaces and Lattice Gravity
• Baby Universes in 4d Dynamical Triangulation
• Simplicial Gravity in Dimension Greater than Two
• Gravity and Random Surfaces on the Lattice - A Review
• The Weak-Coupling Limit of Simplicial Quantum Gravity
• The Renormalization Group and Dynamical Triangulations
• Quantum gravity with linear action. Intrinsic rigidity of spacetime
• Absence of barriers in dynamical triangulation
• Balls in Boxes and Quantum Gravity
• Random manifolds and quantum gravity
• Aspects of quantum gravity
• Three models of non-perturbative quantum-gravitational binding
• The Weak-Coupling Limit of 3D Simplicial Quantum Gravity
• What should be the ontology for the Standard Model?
• Using massless fields for observing black hole features in the collapsed phase of Euclidean dynamical triangulations
• Towards a path integral for the pure-spin connection formulation of gravity
• Phases of Tree-decorated Dynamical Triangulations in 3D