The $SU(2)$ Global Anomaly Through Level Circling

Details The $SU(2)$ Global Anomaly Through Level Circling The $SU(2)$ Global Anomaly Through Level Circling

1993-09-01

arxiv.org/abs/hep-ph/9309206v1

Mod.Phys.Lett. A9 (1994) 501-514

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, NBI-HE-93-51

Scientific paper

10.1142/S0217732394003737

We discuss a novel manifestation of the $SU(2)$ global anomaly in an $SU(2)$ gauge theory with an odd number of chiral quark doublets and arbitrary Yukawa couplings. We argue that the massive 4-dim.($D=4$) Euclidean Dirac operator is nonhermitean with its spectrum of eigenvalues $(\lambda,-\lambda)$ lying in pairs in the complex plane. Consequently the existence of an odd number of normalizable zero modes of the 5-dim.($D=5$) massive Dirac operator is equivalent to a fermionic level exchange phenomenon, level ``circling'', under continuous topologically nontrivial deformations of the external gauge field. More generally global anomalies are a manifestation of fermionic level ``circling'' in any $SP(2n)$ gauge theory with an odd number of massive fermions in the spinor representation and arbitrary Yukawa couplings.

Affiliated with

Also associated with

No associations

Rating

The $SU(2)$ Global Anomaly Through Level Circling 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 The $SU(2)$ Global Anomaly Through Level Circling, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The $SU(2)$ Global Anomaly Through Level Circling will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-146504