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Fermions in the Background of Dilatonic Sphalerons

1994/10/24 by George Lavrelashvili
Physics and Astronomy · #hep-th

paper · pdf

published as Mod.Phys.Lett. A9 (1994) 3731-3740 · Latex, 8p, MPI-PhT/94-65, ZU-TH 31/94

arxiv created 1994/10/24 · arxiv updated 2009/11/30

Abstract

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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