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arXiv 0704.3626hep-phhep-th
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Randall Sundrum模型中的Casimir力

The Casimir Force in Randall Sundrum Models

Mariana Frank, Ismail Turan, Lorric Ziegler

摘要:

本文讨论和比较了Randall Sundrum模型中的一个额外维数对计算两平行板间Casimir力的影响。在力和板分离的已知不确定度范围内,我们给出了一个条件,即在AdS_5的曲率参数k等于Planck尺度的情况下,结果与实验测量结果一致,并且得到了一个kR < 20的上限。虽然上界随着k的减小而减小,但作为求解层次问题所需的值kR ~ 12与Casimir力测量结果一致。对于第五维无限大的情况,对卡西米尔力的修正非常小,可以忽略不计。

英文摘要:

We discuss and compare the effects of one extra dimension in the Randall Sundrum models on the evaluation of the Casimir force between two parallel plates. We impose the condition that the result reproduce the experimental measurements within the known uncertainties in the force and the plate separation, and get an upper bound kR < 20 if the curvature parameter k of AdS_5 is equal to the Planck scale. Although the upper bound decreases as k decreases, kR ~ 12, which is the required value for solving the hierarchy problem, is consistent with the Casimir force measurements. For the case where the 5th dimension is infinite, the correction to the Casimir force is very small and negligible.

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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