Monopoles, Antimonopoles and Vortex Rings
B. Kleihaus, J. Kunz, Ya. Shnir

TL;DR
This paper introduces a new class of static, axially symmetric solutions in SU(2) Yang-Mills-Higgs theory featuring Higgs field rings, revealing their magnetic properties and how they differ in topological sectors.
Contribution
It presents novel Higgs vortex ring solutions with specific magnetic characteristics, expanding understanding of monopole and vortex configurations in gauge theories.
Findings
Higgs field vanishes on rings around the symmetry axis.
Dipole moments add in trivial topological sector.
Dipole moments cancel in magnetically charged solutions.
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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