Weyl Invariant Formulation of Flux-Tube Solution in the Dual Ginzburg-Landau Theory

Abstract

The flux-tube solution in the dual Ginzburg-Landau (DGL) theory in the Bogomol'nyi limit is studied by using the manifestly Weyl invariant form of the DGL Lagrangian. The dual gauge symmetry is extended to $[U(1){]}_m^3$, and accordingly, there appear three different types of the flux-tube. The string tension for each flux-tube is calculated analytically and is found to be the same owing to the Weyl symmetry. It is suggested that the flux-tube can be treated in quite a similar way with the Abrikosov-Nielsen-Olesen vortex in the U(1) Abelian Higgs theory except for various types of flux-tube.

Comments: 12 pages, revtex, no figure