Thick branes with a nonminimally coupled bulk-scalar field
Thick branes with a nonminimally coupled bulk-scalar field
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具有非最小耦合体标量场的厚膜
DOI：
10.1103/physrevd.85.124033
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发表时间：
2011-06
期刊：
影响因子：
--
通讯作者：
Chen Feng-Wei
中科院分区：
文献类型：
--
作者：
Guo Heng;Liu Yu-Xiao;Zhao Zhen-Hua;Chen Feng-Wei
本文研究具有非最小耦合背景标量场的厚膜，其解为单扭结或双扭结。讨论了非极小耦合常数$\ensuremath{\xi}$对厚膜结构和引力、费米子、标量和矢量的局域化的影响。结果表明，随着非极小耦合常数$\ensuremath{\xi}$的增大，每个膜将分裂成两个子膜。通过研究引力张量摄动方程和费米子的一般协变狄拉克方程，我们发现引力零模和左手性费米子零模都局域于单扭膜的中心，并局域于双扭产生的两个子膜之间，这表明常数$\ensuremath{\xi}$不影响这些零模的局域化。然而，当$\ensuremath{\xi}$大于其临界值${\ensuremath{\xi}}_{0}$时，标量的零模式在每个子膜上都是局部化的（对于单结和双结膜）。讨论了非极小耦合常数$\ensuremath{\xi}$对膜上有限寿命的引力和费米子共振的影响。
In this paper, we investigate thick branes with a nonminimally coupled background scalar field, whose solution is a single-kink or a double-kink. The effects of the nonminimal coupling constant $\ensuremath{\xi}$ on the structure of the thick branes and the localization of gravity, fermions, scalars, and vectors are discussed. It is shown that each brane will split into two sub-branes as increasing the nonminimal coupling constant $\ensuremath{\xi}$. 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 $\ensuremath{\xi}$ 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 $\ensuremath{\xi}$ is larger than its critical value ${\ensuremath{\xi}}_{0}$. The effects of the nonminimal coupling constant $\ensuremath{\xi}$ on the resonances of gravity and fermions with finite lifetime on the branes are also discussed.
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