arXiv.org > hep-lat > arXiv:hep-lat/0503011
Warped Domain Wall Fermions
Tanmoy Bhattacharya, Csaba Csaki, Matthew R. Martin, Yuri Shirman, John Terning
(Submitted on 10 Mar 2005 (v1), last revised 24 Aug 2005
(this version, v2))
We consider Kaplan's domain wall fermions in the
presence of an Anti-de Sitter (AdS) background in the extra
dimension. Just as in the flat space case, in a completely
vector-like gauge theory defined after discretizing this extra
dimension, the spectrum contains a very light charged fermion whose
chiral components are localized at the ends of the extra dimensional
interval. The component on the IR boundary of the AdS space can be
given a large mass by coupling it to a neutral fermion via the Higgs
mechanism. In this theory, gauge invariance can be restored either
by taking the limit of infinite proper length of the extra dimension
or by reducing the AdS curvature radius towards zero. In the latter
case, the Kaluza-Klein modes stay heavy and the resulting classical
theory approaches a chiral gauge theory, as we verify numerically.
Potential difficulties for this approach could arise from the
coupling of the longitudinal mode of the light gauge boson, which
has to be treated non-perturbatively.