Rotating Electroweak Sphaleron-Antisphaleron Systems
Rustam Ibadov, Burkhard Kleihaus, Jutta Kunz, Michael Leissner

TL;DR
This paper demonstrates that rotating sphaleron-antisphaleron systems in Weinberg-Salam theory can possess angular momentum proportional to their electric charge, extending previous findings on individual sphalerons.
Contribution
It generalizes the concept of rotating sphaleron solutions to complex systems like pairs, chains, and vortex rings, and analyzes their equilibrium conditions.
Findings
Rotating sphaleron-antisphaleron systems can carry angular momentum proportional to electric charge.
The study extends the understanding of sphaleron solutions to more complex configurations.
Equilibrium conditions for these systems are established.
Abstract
At finite weak mixing angle the sphaleron solution of Weinberg-Salam theory can be endowed with angular momentum proportional to the electric charge. Here we show, that this holds also for sphaleron-antisphaleron systems such as pairs, chains and vortex rings. We also address the equilibrium conditions for these solutions.
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