321 research outputs found
Dual Abrikosov Vortices in Confining Theories
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.Comment: 8 pages, Latex , 5 ps figure files attached (figs. 1,3,4,5,6) Talk,
Proceedings at CONFINEMENT95, Osaka, March 199
Model independent approach to studies of the confining dual Abrikosov vortex in SU(2) lattice gauge theory
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.Comment: 18 pages, 14 figures, change title, new anaylysis with more figure
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