Level Crossing Along Sphaleron Barriers

Abstract

In the electroweak sector of the standard model topologically inequivalent vacua are separated by finite energy barriers, whose height is given by the sphale\-ron. For large values of the Higgs mass there exist several sphaleron solutions and the barriers are no longer symmetric. We construct paths of classical configurations from one vacuum to a neighbouring one and solve the fermion equations in the background field configurations along such paths, choosing the fermions of a doublet degenerate in mass. As in the case of light Higgs masses we observe the level crossing phenomenon also for large Higgs masses.

17 pages, latex, 10 figures in uuencoded postscript files. THU-94/03

References in corpus (3)

• Fermion sea along the sphaleron barrier
• Fermions in the background of the sphaleron barrier
• The Sphaleron Barrier in the Presence of Fermions

Cited by in corpus (6)

• Electroweak Baryon Number Non-Conservation in the Early Universe and in High Energy Collisions
• Sphalerons in composite and non-standard Higgs models
• Monopole-Antimonopole Solutions of the Skyrmed SU(2) Yang-Mills-Higgs Model
• $Z_2$ as the Topological Origin of B+L Violation in the Hot Electroweak Theory
• Nondegenerate Fermions in the Background of the Sphaleron Barrier
• Gradient Approach to the Sphaleron Barrier