Topological Classification of Odd-Parity Sphaleron Deformations

Details Topological Classification of Odd-Parity Sphaleron Deformations Topological Classification of Odd-Parity Sphaleron Deformations

1993-12-25

arxiv.org/abs/hep-ph/9312339v2

Mod.Phys.Lett. A9 (1994) 1033-1046

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, latex, NBI-HE-93-74. More extended arguments and concrete examples, 3 figures added

Scientific paper

10.1142/S0217732394000861

We discuss topological aspects of the electroweak sphaleron and its odd-parity deformations. We demonstrate that they are uniquely classified in terms of their odd and even-parity pure gauge field behaviour at spatial infinity. Fermion level crossing occurs only for odd-parity configurations which are topologically disconnected from the vacuum. They contribute to the high temperature unsuppressed baryon violating thermal transitions. Deformations with even-parity pure gauge behaviour at spatial infinity are topologically trivial and do not mediate baryon number violation in the early Universe.

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