Measurement of the penetration depth and coherence length in U(1) and SU(2) dual Abrikosov vortices

TL;DR

This paper investigates the properties of dual Abrikosov vortices in U(1) and SU(2) gauge theories by calculating electric and magnetic monopole fields, providing insights into confinement mechanisms.

Contribution

It presents the first detailed calculation of electric and magnetic monopole fields in the mid-plane between quark pairs for U(1) and SU(2), interpreted as dual Abrikosov vortices.

Findings

Electric and magnetic monopole fields consistent with dual Abrikosov vortices.

Results support the dual superconductor model of confinement.

Quantitative estimates of penetration depth and coherence length.

Abstract

We calculate the electric field and the curl of the magnetic monopole current for U(1) and for SU(2) in the maximal abelian gauge in the mid- plane between a quark antiquark pair. The results can be understood as a dual Abrikosov vortex in the Ginzburg-Landau theory.