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arXiv 1301.6444hep-th
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引力与具有Gauss-Bonnet项的标量场非最小耦合的厚膜世界中场涨落及其局域化的研究

Study of field fluctuations and their localization in a thick braneworld generated by gravity non-minimally coupled to a scalar field with the Gauss-Bonnet term

Gabriel German, Alfredo Herrera-Aguilar, Dagoberto Malagon-Morejon, Israel Quiros, Roldao da Rocha

摘要:

在这项工作中,我们研究了一个具有扭曲的5D光滑膜世界的场景,该膜世界具有4D Minkowski几何,该几何是由与重力非最小耦合的体标量物质和额外的高斯-邦纳项构建的。我们提出了完整的braneworld配置的精确解相比,以前的结果,只有近似的解决方案,由于相关的微分方程的高度非线性特征。这些解决方案使我们能够研究4D普朗克质量有限性的必要条件,此外,使我们能够对4D重力局部化进行更严格的分析。值得注意的是,所有构建的膜世界结构都导致了标准的4D引力局域化,因为它们包含了一个局域化的无质量张量模式(引力子)。我们还分析了所构造的场组态的标量、矢量和张量涨落模的局域化性质。我们发现,对于所考虑的背景,只有无质量张量模式,即四维引力子,是本地化的膜上,而矢量和标量模式不限于膜。

英文摘要:

In this work we study a scenario with a warped 5D smooth braneworld with 4D Minkowski geometry builded from bulk scalar matter non-minimally coupled to gravity with an additional Gauss-Bonnet term. We present exact solutions for the full braneworld configuration in contrast to previous results where only approximate solutions were constructed due to the highly non-linear character of the relevant differential equations. These solutions allow us to study the necessary conditions for the finiteness of the 4D Planck mass and additionally, enables us to perform a more rigorous analysis of 4D gravity localization compared to approximate approaches. It is remarkable that all the constructed braneworld configurations lead to standard 4D gravity localization since they contain a localized massless tensor mode (the graviton). We also analyze the localization properties of scalar, vector and tensor fluctuation modes for the constructed field configurations. We show that for the considered backgrounds, only the massless tensor mode, i.e. the 4D graviton, is localized on the brane, while the vector and scalar modes are not confined to the brane.

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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