Fermions in the background of the sphaleron barrier

Abstract

We demonstrate the level crossing phenomenon for fermions in the background field of the sphaleron barrier, by numerically determining the fermion eigenvalues along the minimal energy path from one vacuum to another. We assume that the fermions of a doublet are degenerate in mass, allowing for spherically symmetric ansätze for all of the fields, when the mixing angle dependence is neglected.

Comments: 9 pages, latex, 4 figures appended as postscript files after \end{document}. THU-93/05