Fermion localization on branes with generalized dynamics

Physics – High Energy Physics – High Energy Physics - Theory

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17 pages, 6 figures

Scientific paper

In a recent paper published in this journal, Bazeia and collaborators [Phys. Lett. B 671, (2009) 402] analyze braneworld models with nonstandard dynamics. It was found that the generalized braneworld scenario is classically stable and capable of localize gravity. In this present work, we complete the analyze of the above research, we will focus our attention on the matter energy density, energy of system and the Ricci scalar. Additionally, as a natural extension, we address the issue of fermion localization of fermions on a thick brane constructed from one scalar field with nonstandard kinetic terms coupled with gravity. The contribution of the nonstandard kinetic terms in the problem of fermion localization is analyzed. It is found that the simplest Yukawa coupling $\eta\bar{\Psi}\phi\Psi$ support the localization of fermions on the thick brane. It is shown that the zero mode for left-handed and right-handed fermions can be localized on the thick brane depending on the values for the coupling constant $\eta$ and the brane model parameters. Furthermore, we present an argument that could jeopardize the results of previous work on massive modes.

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