The Origin of the Sphaleron Dipole Moment

Abstract

By providing a suitable definition of the electromagnetic field off the Higgs vacuum, we show that within the sphaleron there is a monopole-antimonopole pair with quantized charges, and a loop of electromagnetic current. On integration of the relevant charges and currents over the interior in the limit of small ${\Theta }_W$, we recover the standard formula for the sphaleron dipole moment.

13pp Plain TeX, 2 ps figures in 2 files, self-unpacking uuencoded. (Tidied up, discussion of 't Hooft definition of electromagnetic charge, and 2 nice new figures showing charge and current distributions inside the sphaleron.)

Cited by in corpus (33)

• Cosmic strings
• Estimate of the primordial magnetic field helicity
• Electroweak String Configurations with Baryon Number
• Magnetic Fields from Phase Transitions
• Embedded Defects
• Monopole-Antimonopole Chains and Vortex Rings
• Helical Magnetic Fields from Sphaleron Decay and Baryogenesis
• Sphalerons, spectral flow, and anomalies
• Embedded Topological Defects in Hot Electroweak Theory: a Lattice Study
• Z-Vortex Percolation in the Electroweak Crossover Region
• Spinning Electroweak Sphalerons
• Superconducting Electroweak Strings
• Sphalerons, Antisphalerons and Vortex Rings
• Superconducting non-Abelian vortices in Weinberg-Salam theory -- electroweak thunderbolts
• Topological Content of the Electroweak Sphaleron on the Lattice
• Electroweak monopoles and their stability
• Topological structure of Nambu monopole in Two Higgs doublet models -- Fiber bundle, Dirac's quantization and dyon --
• Instanton solution for Schwinger production of 't Hooft-Polyakov monopoles
• The Electroweak Sphaleron in a strong magnetic field
• Monopole-Antimonopole Scattering
• Electromagnetic Interaction in the System of Multimonopoles and Vortex Rings
• Electroweak Sphaleron in a Magnetic field
• Magnetic Fields in the Aftermath of Phase Transitions
• Electroweak multi-monopoles
• Structure of electroweak dumbbells
• Vacuum Topology and the Electroweak Phase Transition
• Spectra of Magnetic Fields Injected during Baryogenesis
• Electrically Charged Sphalerons
• Gravitating Sphaleron-Antisphaleron Systems
• On finite energy monopole solutions in Weinberg-Salam model
• Obtaining the sphaleron field configurations with gradient flow
• Half-Monopole in the Weinberg-Salam Model
• Baryon number violation and a new electroweak interaction