Dual Abrikosov vortices in U(1) and SU(2) lattice gauge theories

Details Dual Abrikosov vortices in U(1) and SU(2) lattice gauge theories Dual Abrikosov vortices in U(1) and SU(2) lattice gauge theories

1995-10-20

arxiv.org/abs/hep-lat/9510035v1

Physics

High Energy Physics

High Energy Physics - Lattice

Lectures, Int. Sch of Physics, "Enrico Fermi", Varenna, Italy, 1995. 33 pages text, latex (Revtex), 13 figures available upon

Scientific paper

The spatial distribution of fields and currents in confining theories can give direct evidence of dual superconductivity. We review the behavior of vortices in the lattice Higgs effective theory. We 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). We review the duality transformation for U(1) in order to connect the U(1) results to a dual Higgs theory. 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 persistent currents to external fields.

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