Sphalerons, Antisphalerons and Vortex Rings
Burkhard Kleihaus, Jutta Kunz, Michael Leissner
TL;DR
This paper introduces new static, axially symmetric solutions in Weinberg-Salam theory at zero Weinberg angle, featuring Higgs field configurations that form points or rings, representing sphalerons, antisphalerons, and vortex rings.
Contribution
It presents novel classical solutions involving Higgs field configurations forming points or rings, expanding understanding of non-perturbative structures in Weinberg-Salam theory.
Findings
Solutions include Higgs field vanishing at points or rings
Configurations represent sphalerons, antisphalerons, and vortex rings
Enhances understanding of classical field solutions in electroweak theory
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.
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