Phase Structure of SU(2) Lattice Gauge Theory with Quantum Gravity

TL;DR

This paper explores the phase structure of 4D SU(2) lattice gauge theory coupled with quantum gravity, identifying different phases through simulations on small systems, revealing complex entropy-driven behaviors.

Contribution

It introduces a study of the phase diagram of SU(2) lattice gauge theory with quantum gravity using small-system simulations, highlighting entropy-driven phases.

Findings

Evidence for entropy-dominated disordered phase

Evidence for entropy-dominated ordered phase

Identification of an ill-defined region

Abstract

We investigate 4$d$ SU(2) lattice gauge theory with Regge--Einstein quantum gravity on a dynamically coupled Regge skeleton. To overview the phase diagram we perform simulations on a small $2\cdot 4^3$ system. Evidence for an entropy--dominated disordered, an entropy--dominated ordered and an ill--defined region is presented.