Fermions in the Background of Dilatonic Sphalerons

Details Fermions in the Background of Dilatonic Sphalerons Fermions in the Background of Dilatonic Sphalerons

1994-10-24

arxiv.org/abs/hep-th/9410178v1

Mod.Phys.Lett. A9 (1994) 3731-3740

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 8p, MPI-PhT/94-65, ZU-TH 31/94

Scientific paper

We discuss the properties and interpretation of a discrete sequence of a static spherically symmetric solutions of the Yang-Mills-dilaton theory. This sequence is parametrized by the number $n$ of zeros of a component of the gauge field potential. It is demonstrated that solutions with odd $n$ posses all the properties of the sphaleron. It is shown that there are normalizable fermion zero modes in the background of these solutions. The question of instability is critically analysed.

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