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Quark zero modes in intersecting center vortex gauge fields | | H. Reinhardt
; O. Schroeder
; T. Tok
; V. Ch. Zhukovsky
; | | Date: |
1 Mar 2002 | | Journal: | Phys.Rev. D66 (2002) 085004 | | Subject: | hep-th | | Abstract: | The zero modes of the Dirac operator in the background of center vortex gauge field configurations in $R^2$ and $R^4$ 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 $pm 1/2$. 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 $R^4$ these zero modes are localized at the vortex intersection points. | | Source: | arXiv, hep-th/0203012 | | Services: | Forum | Review | PDF | Favorites | |
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