Quark zero modes in intersecting center vortex gauge fields
Mar, 2002
20 pages
Published in:
- Phys.Rev.D 66 (2002) 085004
e-Print:
- hep-th/0203012 [hep-th]
Report number:
- UNITU-THEP-08-2002
View in:
Citations per year
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 D=2 is larger than 1 we obtain normalizable zero modes which are mainly localized at the vortices. In D=4 quasi-normalizable zero modes exist for intersecting flat vortex sheets with the Pontryagin index equal to 2. 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 \T^2 and \T^4, respectively. According to the index theorem there are normalizable zero modes on \T^2 if the net flux is non-zero. These zero modes are localized at the vortices. On \T^4 zero modes exist for a non-vanishing Pontryagin index. As in these zero modes are localized at the vortex intersection points.- 11.15.-q
- 12.38.Aw
- gauge field theory: U(1)
- gauge field theory: SU(2)
- operator: Dirac
- zero mode
- vortex
- space-time: torus
- index theorem
- dimension: 2
References(23)
Figures(0)