Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-04-13
Phys.Rev.D82:084030,2010
Physics
High Energy Physics
High Energy Physics - Theory
10 pages, 12 figures, published version
Scientific paper
10.1103/PhysRevD.82.084030
A few years ago, Campos investigated the critical phenomena of thick branes in warped spacetimes [Phys. Rev. Lett. {\bf 88} (2002) 141602]. Inspired by his work, we consider a toy model of thick branes generated by a real scalar field with the potential $V(\phi)=a\phi^2-b\phi^4+c\phi^6$, and investigate the variation of the mass parameter $a$ on the branes as well as the localization and resonances of fermions. An interesting result is found: there is a critical value for the mass parameter $a$, and when the critical value of $a$ is reached the solution of the background scalar field is not unique and has the shape of a double kink. This happens in both cases with and without gravity. It is also shown that the numbers of the bound Kaluza-Klein modes of fermions on the gravity-free brane and the resonant states of fermions on the brane with gravity increase with the value of $a$.
Li Hai-Tao
Liu Yu-Xiao
Wang Yong-Qiang
Zhao Zhen-Hua
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