Monopole Percolation in pure gauge compact QED

TL;DR

This paper investigates the role of monopoles in pure gauge compact QED by analyzing cluster susceptibility and an order parameter, revealing their correlation with the phase transition energy and establishing the order parameter as an effective probe.

Contribution

It introduces and validates the use of the order parameter $n_{max}/n_{tot}$ as a sensitive tool for studying phase transitions in pure gauge compact QED.

Findings

Correlation between cluster susceptibility, order parameter, and energy at phase transition.

The order parameter $n_{max}/n_{tot}$ effectively probes the monopole-driven phase transition.

Monopoles significantly influence the percolation transition in compact QED.

Abstract

The role of monopoles in quenched compact QED has been studied by measuring the cluster susceptibility and the order parameter $n_{max}/n_{tot}$ previously introduced by Hands and Wensley in the study of the percolation transition observed in non-compact QED. A correlation between these parameters and the energy (action) at the phase transition has been observed. We conclude that the order parameter $n_{max}/n_{tot}$ is a sensitive probe for studying the phase transition of pure gauge compact QED.