论文标题

casimir效应在同型平坦的空间中

Casimir effect in conformally flat spacetimes

论文作者

Markowicz, Bartosz, Dębski, Kacper, Kolanowski, Maciej, Kamiński, Wojciech, Dragan, Andrzej

论文摘要

我们讨论了几种在不同维度的参考惯性参考框架中确定Casimir力的方法。在一个简单的模型的示例中,涉及Rindler Spacetime中的镜子的模型,我们表明Casimir和Lifschitz的方法是不相等的,并且只能将后者推广到其他时空几何。对于共同耦合的磁场,我们在使用异常的同型平面空间中得出Casimir力,并在Friedmann-Lemaitre-Robertson-Walker $(K = 0)$模型中提供明确的例子。

We discuss several approaches to determine the Casimir force in inertial frames of reference in different dimensions. On an example of a simple model involving mirrors in Rindler spacetime we show that Casimir's and Lifschitz's methods are inequivalent and only latter can be generalized to other spacetime geometries. For conformally coupled fields we derive the Casimir force in conformally flat spacetimes utilizing an anomaly and provide explicit examples in the Friedmann-Lemaitre-Robertson-Walker $(k=0)$ models.

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