Electroweak multi-monopoles
arXiv:2211.04875 · doi:10.1016/j.nuclphysb.2023.116112
Abstract
We construct the multi-charge generalizations for the electroweak magnetic monopole solution of Cho and Maison within a wide range of values of the magnetic charge. We use the same ansatz for the axially symmetric fields as the one previously employed to construct the electroweak sphalerons and compare the internal structure of monopoles with that of sphalerons. The monopoles have zero dipole moment but a finite quadrupole momentum that rapidly increases with growing magnetic charge. For large charges, the monopole configurations are strongly squashed and show inside a bubble of symmetric phase filled with a U(1) hypercharge field produced by a pointlike magnetic charge at the origin, strong enough to suppress all other fields and restore the full gauge symmetry. The bubble is surrounded by a large belt of broken phase containing a magnetically charged ring filled with a nonlinear W-condensate, squeezed between two superconducting rings of opposite electric currents. In the far field region there remains only the magnetic field supported by the total magnetic charge contained at the origin and in the magnetic ring. The axially symmetric monopoles are probably just a special case of more general monopole solutions not possessing any continuous symmetries. The Cho-Maison monopole is stable but the stability of its multi-charge generalizations is not yet confirmed. All electroweak monopoles have infinite energy due to the pointlike U(1) charge at the origin, but the energy is expected to become finite after taking gravity into account, which should provide a cutoff via creating an event horizon to shield the U(1) charge.
arXiv comment48 pages, many figures
References in corpus (26)
- Gravitating Non-Abelian Solitons and Black Holes with Yang-Mills Fields
- Non-Abelian BPS Monopoles in N=4 Gauged Supergravity
- Monopoles in Weinberg-Salam Model
- Magnetic monopoles revisited: Models and searches at colliders and in the Cosmos
- Static Axially Symmetric Einstein-Yang-Mills-Dilaton Solutions: I.Regular Solutions
- Monopole-Antimonopole Chains and Vortex Rings
- Static Black Hole Solutions without Rotational Symmetry
- Monopoles, Antimonopoles and Vortex Rings
- Finite Energy Electroweak Dyon
- The Origin of the Sphaleron Dipole Moment
- Resonant excitations of the 't Hooft-Polyakov monopole
- Construction of a New Electroweak Sphaleron
- Topologically stable, finite-energy electroweak-scale monopoles
- Multisphalerons in the Weak Interactions
- Multisphalerons in the Weinberg-Salam Theory
- An Electroweak Monopole, Dirac Quantization and the Weak Mixing Angle
- Spinning Electroweak Sphalerons
- Sphalerons, Antisphalerons and Vortex Rings
- Are All Static Black Hole Solutions Spherically Symmetric?
- Superconducting non-Abelian vortices in Weinberg-Salam theory -- electroweak thunderbolts
- Electroweak monopoles and their stability
- Instabilities of Magnetically Charged Black Holes
- Electroweak Sphalerons with Spin and Charge
- Rotating Electroweak Sphaleron-Antisphaleron Systems
- Half-Monopole in the Weinberg-Salam Model
- On finite energy monopole solutions in Weinberg-Salam model