Domain wall brane in squared curvature gravity

Details Domain wall brane in squared curvature gravity Domain wall brane in squared curvature gravity

2011-04-16

arxiv.org/abs/1104.3188v2

JHEP 1106:135,2011

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 5 figures and 1 table, references added, improved version to be published in JHEP

Scientific paper

10.1007/JHEP06(2011)135

We suggest a thick braneworld model in the squared curvature gravity theory. Despite the appearance of higher order derivatives, the localization of gravity and various bulk matter fields is shown to be possible. The existence of the normalizable gravitational zero mode indicates that our four-dimensional gravity is reproduced. In order to localize the chiral fermions on the brane, two types of coupling between the fermions and the brane forming scalar is introduced. The first coupling leads us to a Schr\"odinger equation with a volcano potential, and the other a P\"oschl-Teller potential. In both cases, the zero mode exists only for the left-hand fermions. Several massive KK states of the fermions can be trapped on the brane, either as resonant states or as bound states.

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