Volume dependence of the phase boundary in 4D dynamical triangulation

Abstract

The number of configurations of the dynamical triangulation model of 4D euclidean quantum gravity appears to grow faster than exponentially with the volume, with the implication that the system would end up in the crumpled phase for any fixed ${\kappa }_2$ (inverse bare Newton constant). However, a scaling region is not excluded if we allow ${\kappa }_2$ to go to infinity together with the volume.

9 pages, LaTeX, preprint ITFA-94-14

References in corpus (7)

• Critical Behavior of Dynamically Triangulated Quantum Gravity in Four Dimensions
• Phase Structure of Four Dimensional Simplicial Quantum Gravity
• Observing 4D Baby Universes in Quantum Gravity
• On the exponential bound in four dimensional simplicial gravity
• Noncomputability Arising In Dynamical Triangulation Model Of Four-Dimensional Quantum Gravity
• Non-uniform measure in 4d simplicial quantum gravity
• Euclidean gravity attracts

Cited by in corpus (17)

• Nonperturbative Quantum Gravity
• Quantization of Point Particles in 2+1 Dimensional Gravity and Space-Time Discreteness
• Discrete approaches to quantum gravity in four dimensions
• Functional Integration Over Geometries
• Scaling in four dimensional quantum gravity
• Exploring Euclidean Dynamical Triangulations with a Non-trivial Measure Term
• Curvature and scaling in 4D dynamical triangulation
• Singular Vertices and the Triangulation Space of the D-sphere
• Gravitational binding in 4D dynamical triangulation
• More on the exponential bound of four dimensional simplicial quantum gravity
• Dynamical Triangulations, a Gateway to Quantum Gravity ?
• Singular Vertices in the Strong Coupling Phase of Four--Dimensional Simplicial Gravity
• Monte Carlo simulations of 4d simplicial quantum gravity
• Recent progress in the theory of random surfaces and simplicial quantum gravity
• Baby Universes in 4d Dynamical Triangulation
• Absence of barriers in dynamical triangulation
• Multicanonical simulation of 3D dynamical triangulation model and a new phase structure