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arXiv 2310.01451hep-thgr-qchep-ph
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通过与引力耦合实现标量场在膜世界上的局域化

Localization of scalar field on the brane-world by coupling with gravity

Heng Guo, Yong-Tao Lu, Cai-Ling Wang, Yue Sun

AI总结:

本研究通过在五维标量场动力学项中引入耦合函数$F(R)$,探究了三种正则膜世界模型中标量场的局域化特性,明确了不同膜模型下零模与有质量模的局域化规律及耦合因子、耦合势的影响。

摘要:

本文研究了一种动力学项与引力之间的耦合机制,该机制将耦合函数$F(R)$引入五维标量场的动力学项中。基于这一方案,我们在三种特定的膜世界模型——Minkowski(闵可夫斯基)膜、de Sitter(德西特)膜和Anti-de Sitter(反德西特)膜——中探究了标量场的局域化特性。本文所考虑的膜模型均为正则模型,其标量曲率不存在奇点。对于Minkowski膜的情况,零模总能局域化在膜上,而有质量模可以局域化或准局域化在膜上。对于dS$_4$膜的情况,我们考虑了两种形式的因子$F(R)$:零模总能实现局域化,有质量模则可以准局域化在膜上;此外,在第二种耦合因子作用下,标量零模可以局域化在额外维度原点的两侧,而有质量模可以准局域化在原点处。最后,对于AdS$_4$膜的情况,标量零模的局域化需要考虑耦合势$V(Φ,φ)$,而有质量模仍可以无穷多的数量局域化在膜上。

英文摘要:

In this paper, we consider a coupling mechanism between the kinetic term and the gravity, in which a coupling function $F(R)$ is introduced into the kinetic term of the five-dimensional scalar field. Based on this scenario, we investigate the localization of scalar fields in three specific braneworld models: the Minkowski brane, the de Sitter brane, and the Anti-de Sitter brane. The brane models considered here are regular with no singularity for scalar curvature. For the Minkowshi brane case, the zero mode can always be localized on the brane, and the massive modes can be localized or quasi-localized on the brane. For the dS$_4$ brane case, two forms of factor $F(R)$ is considered. The zero mode can always be localized, and the massive modes could be quasi-localized on the brane. Besides, with the second coupling factor, the scalar zero mode could be localized on the both sides of the origin of extra dimension, while the massive modes could be quasi-localized on the origin. Lastly, for the AdS$_4$ brane case, the localization of the scalar zero mode requires the consideration of a coupling potential $V(Φ,φ)$, while the massive modes can still be localized on the brane with an infinite number.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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