Eur. Phys. J. C (2010) 66: 333-340
https://doi.org/10.1140/epjc/s10052-010-1234-5

Regular Article - Theoretical Physics

Sphalerons on orbifolds

¹ LPTh, University of Jijel, PB 98, Ouled Aissa, 18000, Jijel, Algeria
² LPMPS, University of Constantine, Ain El-Bey, 25000, Constantine, Algeria
³ Faculty of Physics, University of Bielefeld, Postfach 100131, 33501, Bielefeld, Germany

^* e-mail: amin@physik.uni-bielefeld.de

Received: 29 October 2009
Published online: 13 January 2010

Abstract

In this work, we study the electroweak sphalerons in a 5D background, where the fifth dimension lies on an interval. We consider two specific cases: flat space-time and the anti-de Sitter space-time compactified on S ¹/Z ₂. In our work, we take the SU(2) gauge–Higgs model, where the gauge fields reside in the 5D bulk; but the Higgs doublet is confined in one brane. We find that the results in this model are close to those of the 4D Standard Model (SM). The existence of the warp effect, as well as the heaviness of the gauge Kaluza–Klein modes make the results extremely close to the SM ones.