Electromagnetic Interaction in the System of Multimonopoles and Vortex Rings

Abstract

Behavior of static axially symmetric monopole-antimonopole and vortex ring solutions of the SU(2) Yang-Mills-Higgs theory in an external uniform magnetic field is considered. It is argued that the axially symmetric monopole-antimonopole chains and vortex rings can be treated as a bounded electromagnetic system of the magnetic charges and the electric current rings. The magnitude of the external field is a parameter which may be used to test the structure of the static potential of the effective electromagnetic interaction between the monopoles with opposite orientation in the group space. It is shown that for a non-BPS solutions there is a local minimum of this potential.

10 pages, 12 figures, some minor corrections, version to appear in Phys. Rev. D

References in corpus (2)

• Gravitating Stationary Dyons and Rotating Vortex Rings
• Gravitating Monopole--Antimonopole Chains and Vortex Rings

Cited by in corpus (9)

• Stationary ring solitons in field theory - knots and vortons
• Transitions between Vortex Rings and Monopole-Antimonopole Chains
• Skyrmion--Anti-Skyrmion Chains
• Two boson stars in equilibrium
• Gravitating sphalerons in the Skyrme model
• Gauged Hopfions
• A unified model of supernova driven by magnetic monopoles
• Axially symmetric Yang-Mills-Higgs solutions in AdS spacetime
• SU(N) monopoles with and without SUSY