Simulations of Alice Electrodynamics on a Lattice

TL;DR

This paper investigates a lattice gauge theory involving Alice fluxes and magnetic charges, analyzing its phase diagram and properties through numerical simulations and analytical approximations in three and four dimensions.

Contribution

It provides new numerical and analytical insights into the phase structure of a compact $U(1)\ltimes\ZZ_2$ lattice gauge theory with Alice fluxes and magnetic charges.

Findings

Numerical simulations align with analytical approximations.

Phase diagram characterized in three and four dimensions.

Interplay between Alice fluxes and magnetic charges analyzed.

Abstract

In this paper we present results of numerical simulations and some (analytical) approximations of a compact $U(1)\ltimes\ZZ_2$ lattice gauge theory, including an extra bare mass term for Alice fluxes. The subtle interplay between Alice fluxes and (Cheshire) magnetic charges is analysed. We determine the phase diagram and some characteristics of the model in three and four dimensions. The results of the numerical simulations in various regimes, compare well with some analytic approximations.