Bulk matter fields on two-field thick branes

Understand

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 $\text{e}^{\tau\pi}F_{MN}F^{MN}$, the condition for localizing the zero mode is $\tau\geq-\sqrt{b/3}$ with $0<b\leq1$, or $\tau>-1/\sqrt{3b}$ with $b>1$, which includes the case $\tau=0$.