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Domain wall brane in squared curvature gravity

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Abstract

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 Schrödinger equation with a volcano potential, and the other a Pöschl-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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  1. Institute of Theoretical Physics, Lanzhou University, Lanzhou, 730000, China

    Yu-Xiao Liu, Yuan Zhong, Zhen-Hua Zhao & Hai-Tao Li

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  1. Yu-Xiao Liu
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  2. Yuan Zhong
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Correspondence to Yuan Zhong.

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ArXiv ePrint: 1104.3188

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Liu, YX., Zhong, Y., Zhao, ZH. et al. Domain wall brane in squared curvature gravity. J. High Energ. Phys. 2011, 135 (2011). https://doi.org/10.1007/JHEP06(2011)135

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