Sphalerons, Antisphalerons and Vortex Rings

Abstract

We present new classical solutions of Weinberg-Salam theory in the limit of vanishing Weinberg angle. In these static axially symmetric solutions, the Higgs field vanishes either on isolated points on the symmetry axis, or on rings centered around the symmetry axis. The solutions represent systems of sphalerons, antisphalerons, and vortex rings.

8 pages, 3 figures, minor corrections included

References in corpus (14)

• The origin of the matter-antimatter asymmetry
• Monopole-Antimonopole Chains and Vortex Rings
• Monopole--Antimonopole Chains
• Monopoles, Antimonopoles and Vortex Rings
• The Origin of the Sphaleron Dipole Moment
• Transitions between Vortex Rings and Monopole-Antimonopole Chains
• Construction of a New Electroweak Sphaleron
• On Axially Symmetric Solutions in the Electroweak Theory
• Sphalerons, spectral flow, and anomalies
• Multisphalerons in the Weak Interactions
• Multisphalerons in the Weinberg-Salam Theory
• Monopole-Antimonopole Solutions of the Skyrmed SU(2) Yang-Mills-Higgs Model
• Platonic Sphalerons
• $Z_2$ as the Topological Origin of B+L Violation in the Hot Electroweak Theory

Cited by in corpus (15)

• Stationary ring solitons in field theory - knots and vortons
• Remarks on bell-shaped lumps: stability and fermionic modes
• Chains of Boson Stars
• Spinning Electroweak Sphalerons
• Two boson stars in equilibrium
• Electroweak Sphalerons with Spin and Charge
• Electroweak multi-monopoles
• Rotating Electroweak Sphaleron-Antisphaleron Systems
• Gravitating vortons as ring solitons in general relativity
• Half-Monopole in the Weinberg-Salam Model
• Properties of Charged Rotating Electroweak Sphaleron-Antisphaleron Systems
• Bifurcations in Bosonic Stars: chains and rings from spherical solutions
• Trapping of Spin-0 fields on tube-like topological defects
• Experimental and Theoretical Evidence for Extended Particle Models
• Fermion Number 1/2 of Sphalerons and Spectral Mirror Symmetry