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RSII-p中标量真空力的膜世界修正

Brane world corrections to scalar vacuum force in RSII-p

Roman Linares, Hugo A. Morales-Tecotl, Omar Pedraza

备注：
14 pages, v2: discussion clarified, reference added
发表信息：
Phys.Rev.D78:066013,2008
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摘要：

真空力是一个有趣的低能测试膜世界由于其依赖于场的模式和它的作用在亚毫米重力实验。在这项工作中，我们推广了以前的模型的例子：标量场真空力的两个平行的平板之间的膜上的Randall-Sundrum的情况下扩展的$p$紧凑的尺寸（RSII- $p$）。在使用格林函数技术时，对于无质量标量场，从零模式获得4D力，而校正结果是吸引的，并且依赖于板之间的分离为$l^{-(6+p)}$。对于大质量标量场，准定域模产生具有吸引修正的4D力，其行为类似于$l^{-(10+p)}$。相对于相对湿度，校正可忽略不计。$AdS_{(5+p)}$半径小于$\sim 10^{-6}$ m的4D力。虽然$p=0$的情况下是不可行的物理由于不同的行为方面的本地化的无质量标量场和电磁场，它产生了一个有用的比较之间的维数正则化和格林函数技术，我们在讨论中描述。

英文摘要：

Vacuum force is an interesting low energy test for brane worlds due to its dependence on field's modes and its role in submillimeter gravity experiments. In this work we generalize a previous model example: the scalar field vacuum force between two parallel plates lying in the brane of a Randall-Sundrum scenario extended by $p$ compact dimensions (RSII-$p$). Upon use of Green's function technique, for the massless scalar field, the 4D force is obtained from a zero mode while corrections turn out attractive and depend on the separation between plates as $l^{-(6+p)}$. For the massive scalar field a quasilocalized mode yields the 4D force with attractive corrections behaving like $l^{-(10+p)}$. Corrections are negligible w.r.t. 4D force for $AdS_{(5+p)}$ radius less than $\sim 10^{-6}$m. Although the $p=0$ case is not physically viable due to the different behavior in regard to localization for the massless scalar and electromagnetic fields it yields an useful comparison between the dimensional regularization and Green's function techniques as we describe in the discussion.

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