Abstract
The zero modes of the Dirac operator in the background of center vortex gauge field configurations in and are examined. If the net flux in is larger than we obtain normalizable zero modes which are mainly localized at the vortices. In quasinormalizable zero modes exist for intersecting flat vortex sheets with the Pontryagin index equal to These zero modes are mainly localized at the vortex intersection points, which carry a topological charge of To circumvent the problem of normalizability the space-time manifold is chosen to be the (compact) torus and respectively. According to the index theorem there are normalizable zero modes on if the net flux is nonzero. These zero modes are localized at the vortices. On zero modes exist for a nonvanishing Pontryagin index. As in these zero modes are localized at the vortex intersection points.
- Received 26 March 2002
DOI:https://doi.org/10.1103/PhysRevD.66.085004
©2002 American Physical Society