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Multiphalerons in the weak interactions

1994/03/15 by Burkhard Kleihaus, Jutta Kunz
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1016/0370-2693(94)90517-7

published as Phys.Lett. B329 (1994) 61-67 · 10 pages, latex, 8 figures in uuencoded postscript files. THU-94/04

arxiv created 1994/03/15 · openalex publication_date 1994/06/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We construct multisphaleron solutions in the weak interactions. The multisphaleron solutions carry Chern-Simons charge n/2, where n is an integer. The well-known sphaleron has n=1 and is spherically symmetric for vanishing mixing angle. In contrast the multisphalerons with n>1 are only axially symmetric, even for vanishing mixing angle. The greater n, the stronger the energy density deforms. While for small Higgs masses the energy of the multisphalerons is smaller than n times the energy of the sphaleron, the energy of the multisphalerons is larger than n times the energy of the sphaleron for large Higgs masses.

Citations