More on the exponential bound of four dimensional simplicial quantum gravity

TL;DR

This paper provides numerical evidence supporting the existence of an exponential bound in four-dimensional simplicial quantum gravity, which is essential for the well-definedness of the partition function in Monte Carlo simulations.

Contribution

It presents numerical data favoring the exponential bound and argues that previous limited data sets are also consistent with its existence.

Findings

Numerical data supports the exponential bound in 4D simplicial quantum gravity.

Recent opposing claims are also compatible with the exponential bound.

The exponential bound is crucial for the well-definedness of the partition function.

Abstract

A crucial requirement for the standard interpretation of Monte Carlo simulations of simplicial quantum gravity is the existence of an exponential bound that makes the partition function well-defined. We present numerical data favoring the existence of an exponential bound, and we argue that the more limited data sets on which recently opposing claims were based are also consistent with the existence of an exponential bound.