Quark zero modes in intersecting center vortex gauge fieldsстатья
Статья опубликована в высокорейтинговом журнале
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Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
Аннотация: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 quasinormalizable 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 nonzero. These zero modes are localized at the vortices. On
T^4 zero modes exist for a nonvanishing Pontryagin index. As in R^4 these zero modes are localized at the vortex
intersection points.