Abstract
In this paper we consider a geometrical Yukawa coupling as a solution to
the problem of gauge field localization. We show that upon dimensional
reduction the vector field component of the field is localized but the
scalar component (A(5)) is not. We show this for any smooth version of
the Randall-Sundrum model. The covariant version of the model with
geometrical coupling simplifiesthe generalization to smooth versions
generated by topological defects. This kind of model has been considered
some time ago, but there it has been introduced with two free parameters
in order to get a localized solution which satisfy the boundary
conditions: a mass term in five dimensions and a coupling with the
brane. The boundary condition fixes one of them and the model is left
with one free parameter M. First we show that by considering a Yukawa
coupling with the Ricci scalar it is possible to unify these two
parameters into just one fixed by the boundary condition. With this we
get a consistent model with no free parameters and the mass term can be
interpreted as a coupling to the cosmological constant. (C) 2014 The
Authors. Published by Elsevier B.V. This is an open access article under
the CC BY license.
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