Brihaye, Y. and Delsate, T. (2012), "Excited de Sitter brane worlds localized by a kink", PHYSICAL REVIEW D, 86, 2.
Abstract: We reconsider, in five-dimensional space-time, the issue of thick brane
localized in the extra dimension by a kink formed by a scalar field. The
localization is achieved by a sine-Gordon potential. Apart from a
fundamental brane (where the scalar field is a monotonic function of the
extra dimension [R. Koley and S. Kar, Classical Quantum Gravity 22,
753 (2005)]), we show that a series of new solutions exist as well,
labeled by the number of zeros of the scalar field. These solutions are
regular, localized on the brane, and mirror-symmetric with respect to
the extra dimension. They form a tower of ``excited branes''. The
study of some perturbations of the solutions reveals that the new
solutions are not stable. Finally, fermions are coupled to the scalar
field by means of a Yukawa potential and their localization in the
background of the new solutions is examined. It turns out that the
excited branes can localize left and right chiral fermions either on the
brane and/or in the bulk but close to the brane.
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