On sphaleron deformations induced by Yukawa interactions

Details On sphaleron deformations induced by Yukawa interactions On sphaleron deformations induced by Yukawa interactions

1993-12-25

arxiv.org/abs/hep-ph/9312340v1

Mod.Phys.Lett. A9 (1994) 1529-1544

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, Latex, NBI-HE-93-75

Scientific paper

Due to the presence of the chiral anomaly sphalerons with Chern-Simons number a half (CS=1/2) are the only static configurations that allow for a fermion level crossing in the two-dimensional Abelian-Higgs model with massless fermions, i.e. in the absence of Yukawa interactions. In the presence of fermion-Higgs interactions we demonstrate the existence of zero energy solutions to the one-dimensional Dirac equation at deformed sphalerons with CS$\neq 1/2 .$ Induced level crossing due to Yukawa interactions illustrates a non-trivial generalization of the Atiyah-Patodi-Singer index theorem and of the equivalence between parity anomaly in odd and the chiral anomaly in even dimensions. We discuss a subtle manifestation of this effect in the standard electroweak theory at finite temperatures.

Affiliated with

Also associated with

No associations

Rating

On sphaleron deformations induced by Yukawa interactions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On sphaleron deformations induced by Yukawa interactions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On sphaleron deformations induced by Yukawa interactions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-556084