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arXiv 0904.4183hep-th
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Randall-Sundrum模型中活塞上的Casimir力

The Casimir force on a piston in Randall-Sundrum models

Hongbo Cheng

摘要:

在五维Randall-Sundrum模型下研究了满足Dirichlet边界条件的无质量标量场的活塞Casimir效应。在这些情况下,我们推导和计算的Casimir力的活塞上的表达式。本文还讨论了外板移到远处极限下的Casimir力,说明了平行板间的力的折减性质。在包含两个膜的Randall-Sundrum模型中,当两个膜的位置非常接近时,它们会相互吸引,但当两个膜的分离度不是非常小时,约化Casimir力变为排斥力,这与实验现象相反。在单膜模型中,约化Casimir力的形状与四维平坦时空中标准的两平行系统相似,而力的符号保持为负。

英文摘要:

The Casimir effect of a piston for massless scalar fields which satisfy Dirichlet boundary conditions in the context of five-dimensional Randall-Sundrum models is studied. In these scenarios we derive and calculate the expression for the Casimir force on the piston. We also discuss the Casimir force in the limit that one outer plate is moved to the remote place to show that the nature of the reduced force between the parallel plates left. In the Randall-Sundrum model involving two branes the two plates attract each other when they locate very close, but the reduced Casimir force turns to be repulsive as the plates separation is not extremely tiny, which is against the experimental phenomena. In the case of one brane model the shape of the reduced Casimir force is similar to that of the standard two-parallel-system in the four-dimensional flat spacetimes while the sign of force remains negative.

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