Spinning Electroweak Sphalerons

Abstract

We present numerical evidence for the existence of stationary spinning generalizations for the static sphaleron in the Weinberg-Salam theory. Our results suggest that, for any value of the mixing angle $\thetw$ and for any Higgs mass, the spinning sphalerons comprise a family labeled by their angular momentum $J$. For $\thetw\neq 0$ they possess an electric charge $Q=eJ$ where $e$ is the electron charge. Inside they contain a monopole-antimonopole pair and a spinning loop of electric current, and for large $J$ they show a Regge-type behavior. It is likely that these sphalerons mediate the topological transitions in sectors with $J\ne 0$, thus enlarging the number of transition channels. Their action {\it decreases} with $J$, which may considerably affect the total transition rate.

improved and extended as compared to the first version, published

References in corpus (10)

• Electroweak Baryon Number Non-Conservation in the Early Universe and in High Energy Collisions
• Stationary ring solitons in field theory - knots and vortons
• On rotating regular nonabelian solutions
• The Origin of the Sphaleron Dipole Moment
• Multisphalerons in the Weak Interactions
• Magnetic charge, angular momentum and negative cosmological constant
• Existence of spinning solitons in gauge field theory
• Sphalerons, Antisphalerons and Vortex Rings
• Electrically Charged Sphalerons
• On the regularity of static axially symmetric solutions in SU(2) Yang-Mills-dilaton theory

Cited by in corpus (15)

• Rotating black holes with non-Abelian hair
• Superconducting non-Abelian vortices in Weinberg-Salam theory -- electroweak thunderbolts
• Electroweak Sphalerons with Spin and Charge
• Proca balls with angular momentum or flux of electric field
• Electroweak multi-monopoles
• Rotating Electroweak Sphaleron-Antisphaleron Systems
• Dynamics of dipoles and vortices in nonlinearly-coupled three-dimensional harmonic oscillators
• Slowly rotating Q-balls
• Gravitating vortons as ring solitons in general relativity
• Half-Monopole in the Weinberg-Salam Model
• On finite energy monopole solutions in Weinberg-Salam model
• Properties of Charged Rotating Electroweak Sphaleron-Antisphaleron Systems
• Generalized dyons and magnetic dipoles: the issue of angular momentum
• Experimental and Theoretical Evidence for Extended Particle Models
• Understanding the Quantized Angular Momentum of Rotating Q-balls