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arXiv 0710.3787gr-qc
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量子应力张量涨落及其物理效应

Quantum Stress Tensor Fluctuations and their Physical Effects

L. H. Ford, Chun-Hsien Wu

摘要:

本文综述了近年来关于量子应力张量涨落及其在引力场驱动涨落中的作用的几个方面的工作。强调了相关性和非相关性的作用。我们首先回顾应力张量关联函数的性质。接下来,我们考虑应力张量波动的非引力效应的一些有启发性的例子,特别是卡西米尔力和辐射压力波动的波动。接下来,我们讨论时空几何的被动涨落和它们的某些操作特征。这些包括通过波动的引力场观察的光源的光度波动、谱线展宽和角度模糊。最后,我们讨论了量子应力张量涨落在早期宇宙,特别是在暴胀中的可能作用。在暴胀时期,共动测地线的同馀膨胀的涨落会增加,这是因为在平坦时空中会发生的相互作用关系没有被取消。这导致了随后的非高斯密度扰动,并允许我们推断出暴胀持续时间的上限。这个界限是一致的,充分的通货膨胀,以解决地平线和平坦性问题。

英文摘要:

We summarize several aspects of recent work on quantum stress tensor fluctuations and their role in driving fluctuations of the gravitational field. The role of correlations and anticorrelations is emphasized. We begin with a review of the properties of the stress tensor correlation function. We next consider some illuminating examples of non-gravitational effects of stress tensors fluctuations, specifically fluctuations of the Casimir force and radiation pressure fluctuations. We next discuss passive fluctuations of spacetime geometry and some of their operational signatures. These include luminosity fluctuations, line broadening, and angular blurring of a source viewed through a fluctuating gravitational field. Finally, we discuss the possible role of quantum stress tensor fluctuations in the early universe, especially in inflation. The fluctuations of the expansion of a congruence of comoving geodesics grows during the inflationary era, due to non-cancellation of anticorrelations that would have occurred in flat spacetime. This results in subsequent non-Gaussian density perturbations and allows one to infer an upper bound on the duration of inflation. This bound is consistent with adequate inflation to solve the horizon and flatness problems.

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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