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arXiv 1101.4145hep-thgr-qchep-ph
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厚反德西特膜上体相物质的局域化

Localization of Bulk Matters on a Thick Anti-de Sitter Brane

Yu-Xiao Liu, Heng Guo, Chun-E Fu, Hai-Tao Li

摘要:

本文通过给出对应于薛定谔方程的Kaluza-Klein(KK)模的质量无关势,研究了重力场和各种体物质场在厚反德西特(AdS)膜上的局域化和质量谱.对于引力,KK模的势在额外维度的边界处趋于无穷大,这导致无穷多个束缚KK模。虽然引力零模不能局域在AdS膜上,但质量模被困在膜上。对AdS厚膜的标量扰动进行了分析,发现AdS厚膜在标量扰动下是稳定的。对于自旋为0的标量场和自旋为1的矢量场,在额外维的边界处,KK模的势也趋于无穷大,局域化的特征与引力的情况相同。对于自旋为1/2的费米子,通过引入通常的Yukawa耦合$η\barΨϕΨ$和正的耦合常数$η$,在AdS厚膜上得到了四维无质量的左手征费米子和有质量的Dirac费米子.

英文摘要:

In this paper, we investigate the localization and the mass spectra of gravity and various bulk matter fields on a thick anti-de Sitter (AdS) brane, by presenting the mass-independent potentials of the Kaluza-Klein (KK) modes in the corresponding Schrödinger equations. For gravity, the potential of the KK modes tends to infinity at the boundaries of the extra dimension, which leads to an infinite number of the bound KK modes. Although the gravity zero mode cannot be localized on the AdS brane, the massive modes are trapped on the brane. The scalar perturbations of the thick AdS brane have been analyzed, and the brane is stable under the scalar perturbations. For spin-0 scalar fields and spin-1 vector fields, the potentials of the KK modes also tend to infinity at the boundaries of the extra dimension, and the characteristic of the localization is the same as the case of gravity. For spin-1/2 fermions, by introducing the usual Yukawa coupling $η\barΨϕΨ$ with the positive coupling constant $η$, the four-dimensional massless left-chiral fermion and massive Dirac fermions are obtained on the AdS thick brane.

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