论文标题
混合边界条件下的量子真空：弯曲时空的情况
Quantum vacuum under mixed boundary conditions: the case for curved spacetime
论文作者
论文摘要
研究了重力对在平行板上罗宾边界条件下无质量最小耦合标量场的量子真空的影响。我们介绍了该情况的体积能量的详细计算，其重力背景的最通用形式对于静态太小而言是弱的。它发现量子真空通常通过减少Casimir能量来对重力场反应。此外，我们发现Casimir力增加的足够条件。有趣的是，一阶扰动校正存在于所获得的体积能的公式中。我们表明，对于某些特定的参数选择，能量与罗宾系数无关。在某些限制案例中显示了与文献的一致性，并提出了众所周知的示例，以增加或减少体积能量。
Influence of gravity on the quantum vacuum of a massless minimally coupled scalar field under Robin boundary conditions on parallel plates is investigated. We introduce the detailed calculation of the volume energy for the case the gravitational background is weak in its most general form for a static spacetime. It founds that the quantum vacuum usually reacts to the gravitational field by decreasing the Casimir energy. In addition, we find sufficient conditions under which the Casimir force increases. Interestingly, the first order perturbation corrections, are present in the obtained formula for the volume energy. We show that for some specific choices of parameters, the energy is independent of Robin coefficients. Consistency with the literature is shown in some limiting cases and well-known examples are presented for both an increase or decrease in the volume energy.
