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arXiv · 1101.0336

Bulk matter fields on two-field thick branes

Chun-E Fu·Yu-Xiao Liu·Heng Guo
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Abstract

In this paper we obtain a new solution of a brane made up of a scalar field coupled to a dilaton. There is a unique parameter $b$ in the solution, which decides the distribution of the energy density and will effect the localization of bulk matter fields. For free vector fields, we find that the zero mode can be localized on the brane. And for vector fields coupled with the dilaton via $\text{e}^{τπ}F_{MN}F^{MN}$, the condition for localizing the zero mode is $τ\geq-\sqrt{b/3}$ with $0 -1/\sqrt{3b}$ with $b>1$, which includes the case $τ=0$. While the zero mode for free Kalb-Ramond fields can not be localized on the brane, if only we introduce a coupling between the Kalb-Ramond fields and the dilaton via $\text{e}^{ζπ}H_{MNL}H^{MNL}$. When the coupling constant satisfies $ζ>1/\sqrt{3b}$ with $b\geq1$ or $ζ>\frac{2-b}{\sqrt{3b}}$ with $0 -1/\sqrt{3b}$ with $b>1$ or $-1/\sqrt{3b}<λ<-\sqrt{b/3}$ with $0<b\leq1$, the zero mode for left-chiral fermion also can be localized.

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Chun-E Fu, Yu-Xiao Liu, Heng Guo. 2011-07-28. Bulk matter fields on two-field thick branes. https://doi.org/10.1103/physrevd.84.044036

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