Vacuum Quantum Stress Tensor Fluctuations : A Diagonalization Approach
Vacuum Quantum Stress Tensor Fluctuations : A Diagonalization Approach
复制标题
真空量子应力张量涨落：对角化方法
DOI：
--
复制
发表时间：
2017
期刊：
影响因子：
--
通讯作者：
L. Ford
中科院分区：
文献类型：
--
作者：
E. D. Schiappacasse;C. Fewster;L. Ford
量子应力张量的大真空涨落可以用其概率分布的渐近行为来描述。在这里，我们专注于应力张量运营商已平均与采样功能的时间。闵可夫斯基真空态不是时均算符的本征态，但可以根据其本征态展开。我们计算的概率分布和累积概率分布，以获得一个给定的值，在测量的时间平均运营商在真空状态。在这些计算中，我们使用闵可夫斯基时空中无质量标量场的时间导数的正常有序平方作为应力张量算子的一个例子。我们分析了不同时间采样函数，如紧支撑函数和洛伦兹函数的概率分布的尾部的下降率。我们发现，尾巴减少相对缓慢，分数幂的指数，与以前的工作使用的分布的时刻。我们的结果导致额外的支持的结论，大真空应力张量波动更可能比大的热波动，并可能有可观察到的影响。
Large vacuum fluctuations of a quantum stress tensor can be described by the asymptotic behavior of its probability distribution. Here we focus on stress tensor operators which have been averaged with a sampling function in time. The Minkowski vacuum state is not an eigenstate of the time-averaged operator, but can be expanded in terms of its eigenstates. We calculate the probability distribution and the cumulative probability distribution for obtaining a given value in a measurement of the time-averaged operator taken in the vacuum state. In these calculations, we use the normal ordered square of the time derivative of a massless scalar field in Minkowski spacetime as an example of a stress tensor operator. We analyze the rate of decrease of the tail of the probability distribution for different temporal sampling functions, such as compactly supported functions and the Lorentzian function. We find that the tails decrease relatively slowly, as exponentials of fractional powers, in agreement with previous work using the moments of the distribution. Our results lead additional support to the conclusion that large vacuum stress tensor fluctuations are more probable than large thermal fluctuations, and may have observable effects.