Cutoff dependence of the Casimir force within an inhomogeneous medium
Cutoff dependence of the Casimir force within an inhomogeneous medium
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非均匀介质中卡西米尔力的截止依赖性
DOI：
10.1103/physreva.88.013833
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发表时间：
2013
影响因子：
2.9
通讯作者：
Horsley S
中科院分区：
文献类型：
--
作者：
Horsley S
我们考虑活塞几何中电磁场的基态能量。在理想情况下，活塞和腔壁被视为完美的反射镜，活塞上的Casimir压力是有限的，与组成反射镜的介质的小尺度物理无关；系统的Casimir能量可以正则化，并与截止无关。然而，我们发现，当活塞体内充满非均匀介质时，Casimir能量是截止相关的，因此压强的值不可避免地依赖于反射镜和介质在大波矢下的详细行为。这一结果与最近提出的将非均匀介质中的卡西米尔部队正规化的建议不一致。
We consider the ground-state energy of the electromagnetic field in a piston geometry. In the idealized case, where the piston and the walls of the chamber are taken as perfect mirrors, the Casimir pressure on the piston is finite and independent of the small-scale physics of the media that compose the mirrors; the Casimir energy of the system can be regularized and is cutoff independent. Yet we find that, when the body of the piston is filled with an inhomogeneous dielectric medium, the Casimir energy is cutoff dependent, and the value of the pressure is thus inextricably dependent on the detailed behavior of the mirror and the medium at large wave vectors. This result is inconsistent with recent proposals for regularizing Casimir forces in inhomogeneous media.