Properties of Charged Rotating Electroweak Sphaleron-Antisphaleron Systems

TL;DR

This paper systematically analyzes charged rotating sphaleron-antisphaleron systems in Weinberg-Salam theory, revealing relationships between angular momentum, charge, energy, and magnetic properties, and exploring their internal structure and equilibrium conditions.

Contribution

It provides a comprehensive study of rotating sphaleron-antisphaleron configurations at the physical weak mixing angle, including their properties and internal structure, which was not previously detailed.

Findings

Angular momentum is proportional to electric charge.

Energy and magnetic moment depend on angular momentum.

Angular momentum influences energy density and Higgs field structure.

Abstract

We perform a systematic study of stationary sphaleron-antisphaleron systems of Weinberg-Salam theory at the physical value of the weak mixing angle. These systems include rotating sphaleron-antisphaleron pairs, chains and vortex rings. We show that the angular momentum of these solutions is proportional to their electric charge. We study the dependence of their energy and magnetic moment on their angular momentum. We also investigate the influence of their angular momentum on their local properties, in particular on their energy density and on the node structure of their Higgs field configuration. Furthermore, we discuss the equilibrium condition for these solutions.