Multisphalerons in the Weak Interactions

Details Multisphalerons in the Weak Interactions Multisphalerons in the Weak Interactions

1994-03-15

arxiv.org/abs/hep-ph/9403289v1

Phys.Lett. B329 (1994) 61-67

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, latex, 8 figures in uuencoded postscript files. THU-94/04

Scientific paper

10.1016/0370-2693(94)90517-7

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.

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