Vortex Proliferation and the Dual Superconductor Scenario for Confinement: The 3D Compact U(1) Lattice Higgs Model

TL;DR

This paper refines the phase diagram of the 3D Compact U(1) Lattice Higgs Model, showing a clear boundary between phases marked by vortex proliferation, supporting the dual superconductor mechanism for confinement.

Contribution

It demonstrates that the confinement in the model is due to vortex proliferation, clarifying the phase structure and confirming the dual superconductor scenario.

Findings

Confined and Higgs phases are separated by a well-defined boundary.

Vortex proliferation marks the phase transition.

Confinement mechanism aligns with the dual superconductor scenario.

Abstract

It is argued that the phase diagram of the 3D Compact U(1) Lattice Higgs Model is more refined than generally thought. The confined and Higgs phases are separated by a well-defined phase boundary, marked by proliferating vortices. It is shown that the confinement mechanism at work is precisely the dual superconductor scenario.