Compact U(1)xU(1) Model with Minimal Interspecies Interaction

TL;DR

This paper presents a novel compact U(1)xU(1) gauge model with minimal interspecies interaction, revealing a richer phase structure driven by compactness, including a confining phase, expanding understanding of abelian gauge theories.

Contribution

It introduces a minimally interacting pure gauge U(1)xU(1) model that demonstrates how compactness alone can generate complex interspecies interactions and phase structures.

Findings

Model exhibits a magnetically confining phase

Interactions arise solely from compactness

Richer phase diagram than naive tensor products

Abstract

We introduce a minimally interacting pure gauge compact U(1)xU(1) model consistent with abelian projection symmetries. This paradigm, whose interactions are entirely due to compactness, illustrates how compactness can contribute to interspecies interactions. Furthermore, it has a much richer phase structure(including a magnetically confining phase) than obtained by naively tensoring together two compact U(1) copies.