Entropy and the Approach to the Thermodynamic Limit in Three-Dimensional Simplicial Gravity

TL;DR

This paper provides numerical evidence for an exponential bound in 3D quantum gravity models, showing a slow power law convergence to the thermodynamic limit in dynamical triangulations.

Contribution

It demonstrates the existence of an exponential bound and characterizes the approach to the thermodynamic limit in 3D simplicial quantum gravity.

Findings

Existence of exponential bound in the model

Critical coupling exhibits slow power law approach

Quantities show convergence towards infinite volume limit

Abstract

We present numerical results supporting the existence of an exponential bound in the dynamical triangulation model of three-dimensional quantum gravity.Both the critical coupling and various other quantities show a slow power law approach to the infinite volume limit.