Minkowski vacuum stress tensor fluctuations
Minkowski vacuum stress tensor fluctuations
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闵可夫斯基真空应力张量涨落
DOI：
10.1103/physrevd.72.105010
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发表时间：
2005
影响因子：
5
通讯作者：
T. A. Roman
中科院分区：
文献类型：
--
作者：
L. Ford;T. A. Roman
我们研究了真空状态下二维和四维闵可夫斯基时空中无质量标量场的应力张量的涨落。应力张量相关函数的协变表达式作为标量函数的导数之和获得。这些表达式允许将相关函数的时空平均值表示为有限积分。我们还研究了沿世界线的能量密度测量之间的相关性。我们发现这些测量值可能是正相关的，也可能是反相关的。反相关测量可以解释为告诉我们，如果一次测量产生平均能量密度的一个符号，则具有适当时间延迟的连续测量可能会产生具有相反符号的结果。
We study the fluctuations of the stress tensor for a massless scalar field in two- and four-dimensional Minkowski spacetime in the vacuum state. Covariant expressions for the stress tensor correlation function are obtained as sums of derivatives of a scalar function. These expressions allow one to express spacetime averages of the correlation function as finite integrals. We also study the correlation between measurements of the energy density along a world line. We find that these measurements may be either positively correlated or anticorrelated. The anticorrelated measurements can be interpreted as telling us that, if one measurement yields one sign for the averaged energy density, a successive measurement with a suitable time delay is likely to yield a result with the opposite sign.