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arXiv 2202.12960gr-qchep-th
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混合边界条件下的量子真空:弯曲时空的情形

Quantum vacuum under mixed boundary conditions: the case for curved spacetime

Borzoo Nazari

摘要:

研究了引力对平行平板上Robin边界条件下无质量最小耦合标量场量子真空的影响。我们介绍了详细的计算的情况下,引力背景是弱的,在其最一般形式的静态时空的体积能量。发现量子真空对引力场的反应通常是降低Casimir能量。此外,我们找到了Casimir力增加的充分条件。有趣的是,一阶微扰修正,目前在所获得的体积能量的公式。我们表明,对于一些特定的参数选择,能量是独立的罗宾系数。与文献的一致性显示在一些限制性的情况下,和众所周知的例子都提出了体积能量的增加或减少。

英文摘要:

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.

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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