Dual Abrikosov Vortices in Confining Theories

TL;DR

This paper explores the detection and analysis of dual Abrikosov vortices in lattice simulations of confining gauge theories, providing insights into dual superconductivity and the nature of the confinement mechanism.

Contribution

It introduces techniques for identifying dual vortices and calculating superconductivity parameters in lattice gauge theories, including non-Abelian cases.

Findings

Dual Abrikosov vortices observed in U(1), SU(2), and SU(3) gauge theories.

Non-Abelian systems are near the borderline between type I and II superconductivity.

Response of supercurrents to external fields analyzed.

Abstract

The spacial distribution of fields and currents in confining theories can give direct evidence of dual superconductivity. We would like to discuss the techniques for finding these properties and calculating the superconductivity parameters in lattice simulations. We have seen dual Abrikosov vortices directly in pure U(1) and SU(2) and others have also seen them in SU(3). In the non-Abelian cases the system appears to be near the borderline between type I and II. We also discuss the response of the supercurrents to external fields.