Non-uniform measure in 4d simplicial quantum gravity

Abstract

Four-dimensional euclidean quantum gravity has been studied as a discrete model based on dynamical triangulations by Ambjorn and Jurkiewicz and by Agishtein and Migdal. We discuss a particular implementation of a Monte Carlo simulation of simplicial quantum gravity. As an application we introduce a non-uniform measure and examine its effect on simple aspects of the mathematical geometry. We find that the transition region from the hot to the cold phase is shifted and that the criticality of the transition changes.

SU-GP-92/9-1 12 pages text, 12 figures on 3 pages included as postscript file

References in corpus (3)

• Critical Behavior of Dynamically Triangulated Quantum Gravity in Four Dimensions
• The Phase Diagram of Fluid Random Surfaces with Extrinsic Curvature
• Influence of the Measure on Simplicial Quantum Gravity in Four Dimensions

Cited by in corpus (15)

• Discrete approaches to quantum gravity in four dimensions
• Adaptive mesh and geodesically sliced Schwarzschild spacetime in 3+1 dimensions
• Curvature and scaling in 4D dynamical triangulation
• Scaling behavior of quantum four-geometries
• Gravitational binding in 4D dynamical triangulation
• 4D Quantum Gravity Coupled to Matter
• Volume dependence of the phase boundary in 4D dynamical triangulation
• More on the exponential bound of four dimensional simplicial quantum gravity
• Lattice Gravity and Random Surfaces
• Alternative actions for quantum gravity and the intrinsic rigidity of the spacetime
• Monte Carlo simulations of 4d simplicial quantum gravity
• A causal perspective on random geometry
• Computational Ergodicity of $s^4$
• Absence of barriers in dynamical triangulation
• Towards a path integral for the pure-spin connection formulation of gravity