4d Simplicial Quantum Gravity with a Non-Trivial Measure

TL;DR

This paper investigates 4D simplicial quantum gravity using dynamical triangulations, emphasizing the impact of non-trivial measures on phase structure and critical behavior, and explores fixing the quantum measure uniquely.

Contribution

It introduces the significance of non-trivial measures in 4D quantum gravity and discusses methods to determine the quantum measure unambiguously.

Findings

Measure contribution influences phase diagram

Affects the nature of the critical theory

Proposes a way to fix the quantum measure

Abstract

We study 4d simplicial quantum gravity in the dynamical triangulation approach with a non-trivial class of measures. We find that the measure contribution plays an important role, influencing the phase diagram and the nature of the (possible) critical theory. We discuss how the lattice theory could be used to fix the quantum measure in a non-ambiguous way.