Topological Wilson-loop area law manifested using a superposition of loops

TL;DR

This paper proposes a topological interference effect involving Wilson-loops that could serve as a novel method to test quark confinement and phase transitions in quantum simulations of gauge theories.

Contribution

It introduces a new topological interference effect with potential applications in quantum simulation, linking Wilson-loops, confinement, and topological phases.

Findings

Topological interference of meson loops shows path-independent area dependence.

Potential for experimental realization in quantum simulations.

Provides a new perspective on testing confinement effects.

Abstract

We introduce a new topological effect involving interference of two meson loops, manifesting a path-independent topological area dependence. The effect also draws a connection between quark confinement, Wilson-loops and topological interference effects. Although this is only a gedanken experiment in the context of particle physics, such an experiment may be realized and used as a tool to test confinement effects and phase transitions in quantum simulation of dynamic gauge theories.