Model independent approach to studies of the confining dual Abrikosov vortex in SU(2) lattice gauge theory

Abstract

We address the problem of determining the type I, type II or borderline dual superconductor behavior in maximal Abelian gauge SU(2) through the study of the dual Abrikosov vortex. We find that significant electric currents in the simulation data call into question the use of the dual Ginzburg Landau Higgs model in interpreting the data. Further, two definitions of the penetration depth parameter take two different values. The splitting of this parameter into two is intricately connected to the existence of electric currents. It is important in our approach that we employ definitions of flux and electric and magnetic currents that respect Maxwell equations exactly for lattice averages independent of lattice spacings. Applied to specific Wilson loop sizes, our conclusions differ from those that use the dual GLH model.

18 pages, 14 figures, change title, new anaylysis with more figures

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• The confining color field in SU(3) gauge theory
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• Unveiling confinement in pure gauge SU(3): flux tubes, fields, and magnetic currents
• Spatial structure of the color field in the SU(3) flux tube
• Color screening in flux tubes and in the color Coulomb potential from the QCD Field Correlators
• Vacuum structure and string tension in Yang-Mills dimeron ensembles
• Dual superconducting properties of the QCD vacuum