Monopoles, Antimonopoles and Vortex Rings

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.

4 pages, 1 figure

References in corpus (1)

• Monopole--Antimonopole Chains

Cited by in corpus (47)

• Stationary ring solitons in field theory - knots and vortons
• Vortex solitons: Old results and new perspectives
• Stable Solitons in Three Dimensional Free Space: Self-Trapped Bose-Einstein Condensates with Spin-Orbit Coupling
• Multidimensional solitons: Well-established results and novel findings
• Twisted toroidal vortex-solitons in inhomogeneous media with repulsive nonlinearity
• Soliton gyroscopes in media with spatially growing repulsive nonlinearity
• Monopole-Antimonopole Chains and Vortex Rings
• Three-dimensional hybrid vortex solitons
• Gravitating Stationary Dyons and Rotating Vortex Rings
• Transitions between Vortex Rings and Monopole-Antimonopole Chains
• Gravitating Monopole--Antimonopole Chains and Vortex Rings
• Relations among topological solitons
• Sphalerons in the Skyrme model
• New Regular Solutions with Axial Symmetry in Einstein-Yang-Mills Theory
• Chains of Boson Stars
• Sphalerons, Antisphalerons and Vortex Rings
• Skyrmion--Anti-Skyrmion Chains
• Monopole-Antimonopole and Vortex Rings
• Gravitating Monopole-Antimonopole Systems at Large Scalar Coupling
• New Black Hole Solutions with Axial Symmetry in Einstein-Yang-Mills Theory
• Generalized Jacobi Elliptic One-Monopole - Type A
• Gravitating sphalerons in the Skyrme model
• Monopole-Antimonopole Pair Dyons with Critical Electric Charges
• Electromagnetic Interaction in the System of Multimonopoles and Vortex Rings
• Platonic Sphalerons
• Rotating Electroweak Sphaleron-Antisphaleron Systems
• Electroweak multi-monopoles
• Dynamics of dipoles and vortices in nonlinearly-coupled three-dimensional harmonic oscillators
• Gauged Hopfions
• Gravitating vortons as ring solitons in general relativity
• Gravitating Sphaleron-Antisphaleron Systems
• Q-chains in the $U(1)$ gauged Friedberg-Lee-Sirlin model
• Particle-like solutions to the Yang--Mills-dilaton system in d=4+1 dimensions
• Rotating One-Half Topological Charge Dyon
• Properties of Charged Rotating Electroweak Sphaleron-Antisphaleron Systems
• Axially symmetric Yang-Mills-Higgs solutions in AdS spacetime
• Jacobi Elliptic Monopole-Antimonopole Pair Solutions
• Black holes with Skyrmion-anti-Skyrmion hairs
• Nonabelian solutions in a Melvin magnetic universe
• Sphaleron solutions of the Skyrme model from Yang-Mills holonomy
• Gravitating Dyons with Large Electric Charge
• Electrically Charged One and a Half Monopole Solution
• On axially symmetrical solitons in Abelian-Higgs models
• Bifurcations in Bosonic Stars: chains and rings from spherical solutions
• Trapping of Spin-0 fields on tube-like topological defects
• Dyon in the $SU(2)$ Yang--Mills theory with a gauge-invariant gluon mass toward quark confinement
• Generalized Half-Dyon in SU(2) Yang-Mills-Higgs Theory