Degenerate Topological Vortex solutions from a generalized Abelian Higgs Model with a Chern-Simons term

Details Degenerate Topological Vortex solutions from a generalized Abelian Higgs Model with a Chern-Simons term Degenerate Topological Vortex solutions from a generalized Abelian Higgs Model with a Chern-Simons term

1993-09-18

arxiv.org/abs/hep-th/9309104v1

Phys.Lett. B326 (1994) 264-269

Physics

High Energy Physics

High Energy Physics - Theory

13 pages (one figure not included), Revtex, IP/BBSR/93-57

Scientific paper

10.1016/0370-2693(94)91320-X

We consider a generalization of the abelian Higgs model with a Chern-Simons term by modifying two terms of the usual Lagrangian. We multiply a dielectric function with the Maxwell kinetic energy term and incorporate nonminimal interaction by considering generalized covariant derivative. We show that for a particular choice of the dielectric function this model admits topological vortices satisfying Bogomol'nyi bound for which the magnetic flux is not quantized even though the energy is quantized. Furthermore, the vortex solution in each topological sector is infinitely degenerate.

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