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Monopoles, antimonopoles, and vortex rings

Burkhard KleihausDepartment of Mathematical Physics, University College, Dublin, Belfield, Dublin 4, IrelandJutta KunzDepartment of Mathematical Physics, University College, Dublin, Belfield, Dublin 4, IrelandYakov ShnirDepartment of Mathematical Physics, University College, Dublin, Belfield, Dublin 4, Ireland
2003en
ABI

Abstract

We present a new class of static axially symmetric solutions of SU(2) Yang-Mills-Higgs theory, where the Higgs field vanishes on rings centered around the symmetry axis. Associating a magnetic dipole moment with each Higgs vortex ring, the dipole moments add for solutions in the trivial topological sector, whereas they cancel for magnetically charged solutions.

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Cited by 60 references