Monte Carlo simulations of 4d simplicial quantum gravity

Abstract

Dynamical triangulations of four-dimensional Euclidean quantum gravity give rise to an interesting, numerically accessible model of quantum gravity. We give a simple introduction to the model and discuss two particularly important issues. One is that contrary to recent claims there is strong analytical and numerical evidence for the existence of an exponential bound that makes the partition function well-defined. The other is that there may be an ambiguity in the choice of the measure of the discrete model which could even lead to the existence of different universality classes.

16 pages, LaTeX, epsf, 4 uuencoded figures; contribution to the JMP special issue on "Quantum Geometry and Diffeomorphism-Invariant Quantum Field Theory"

References in corpus (10)

• Observing 4D Baby Universes in Quantum Gravity
• Curvature and scaling in 4D dynamical triangulation
• On the exponential bound in four dimensional simplicial gravity
• On the Absence of an Exponential Bound in Four Dimensional Simplicial Gravity
• Effective Sampling of Random Surfaces by Baby Universe Surgery
• Failure of the Regge approach in two dimensional quantum gravity
• Volume dependence of the phase boundary in 4D dynamical triangulation
• More on the exponential bound of four dimensional simplicial quantum gravity
• Computational Ergodicity of $s^4$
• Absence of barriers in dynamical triangulation

Cited by in corpus (8)

• Discrete approaches to quantum gravity in four dimensions
• Condensation in the Backgammon model
• Adaptive mesh and geodesically sliced Schwarzschild spacetime in 3+1 dimensions
• Euclidean Dynamical Triangulation revisited: is the phase transition really 1st order? (extended version)
• Continuum interpretation of the dynamical-triangulation formulation of quantum Einstein gravity
• Gravity and Random Surfaces on the Lattice - A Review
• Balls in Boxes and Quantum Gravity
• Euclidean Dynamical Triangulation revisited: is the phase transition really first order?