Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-06-26
Physics
High Energy Physics
High Energy Physics - Theory
28 pages, 17 figures, 3 tables
Scientific paper
In this paper, we investigate thick branes with a non-minimally coupled background scalar field, whose solution is a single-kink or a double-kink. The effects of the non-minimal coupling constant $\xi$ on the structure of the thick branes and the localization of gravity, fermions and scalars are discussed. It is shown that each brane will split into two sub-branes as increasing the non-minimal coupling constant $\xi$. By investigating the tensor perturbation equations of gravity and the general covariant Dirac equation of fermions, we find that both the gravity zero mode and left-chiral fermion zero mode are localized at the center of the single-kink branes and localized between the two sub-branes generated by the double-kink, which indicates that the constant $\xi$ does not effect the localization of these zero modes. However, the zero mode of scalars is localized on each sub-brane (for both single-kink and double-kink branes) when $\xi$ is larger than its critical value $\xi_0$. The effects of the non-minimal coupling constant $\xi$ on the resonances of gravity and fermions with finite lifetime on the branes are also discussed.
Chen Feng-Wei
Guo Heng
Liu Yu-Xiao
Zhao Zhen-Hua
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