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刘玉孝

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期刊论文

Bulk Matters on Symmetric and Asymmetric de Sitter Thick Branes

刘玉孝Yu-Xiao Liu∗ Zhen-Hua Zhao Shao-Wen Wei Yi-Shi Duan

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摘要/描述

An asymmetric thick domain wall solution with de Sitter (dS) expansion in five dimensions can be constructed from a symmetric one by using a same scalar (kink) with different potentials. In this paper, by presenting the mass-independent potentials of Kaluza–Klein (KK) modes in the corresponding Schröodinger equations, we investigate the localization and mass spectra of various bulk matter fields on the symmetric and asymmetric dS thick branes. For spin 0 scalars and spin 1 vectors, the potentials of KK modes in the corresponding Schrodinger equations are the modified P¨oschl-Teller potentials, and there exist a mass gap and a series of continuous spectrum. It is shown that the spectrum of scalar KK modes on the symmetric dS brane contains only one bound mode (the massless mode). However, for the asymmetric dS brane with a large asymmetric factor, there are two bound scalar KK modes: a zero mode and a massive mode. For spin 1 vectors, the spectra of KK modes on both dS branes consist of a bound massless mode and a set of continuous ones, i.e., the asymmetric factor does not change the number of the bound vector KK modes. For spin 1/2 fermions, two types of kink-fermion couplings are investigated in detail. For the usual Yukawa coupling, there exists no mass gap but a continuous gapless spectrum of KK states. For the scalar-fermion couplingsin(0) cos−(0) with a positive coupling constant, there exist some discrete bound KK modes and a series of continuous ones. The total number of bound states increases with the coupling constant. For the case of the symmetric dS brane and positive, there are NL(NL1) left chiral fermion bound states (including zero mode and massive KK modes) and NL −1 right chiral fermion bound states (including only massive KK modes).For the asymmetric dS brane scenario, the asymmetric factor a reduces the number of the bound fermion KK modes. For large enough a, there would not be any right chiral fermion bound mode, but at least one left chiral fermion zero mode.

【免责声明】以下全部内容由[刘玉孝]上传于[2009年12月23日 10时37分42秒],版权归原创者所有。本文仅代表作者本人观点,与本网站无关。本网站对文中陈述、观点判断保持中立,不对所包含内容的准确性、可靠性或完整性提供任何明示或暗示的保证。请读者仅作参考,并请自行承担全部责任。

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