Probability distributions of smeared quantum stress tensors
Probability distributions of smeared quantum stress tensors
复制标题
弥散量子应力张量的概率分布
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
T. A. Roman
中科院分区：
文献类型：
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作者：
C. Fewster;L. Ford;T. A. Roman
我们以封闭形式得到二维共形场论在真空状态下的应力-能量张量的个别测量的概率分布，在时间上对高斯测试函数进行涂抹。结果是一个移位的伽马分布，其移位由先前已知的最优量子不等式界给出。对于中心电荷的小值，在真空中采样的能量密度的单独测量极有可能给出负的结果。对于单个无质量标量场，找到负值的概率是84%。我们还报告了四维无质量标量场的计算，表明涂抹的方形场的概率分布也是移位的伽马分布，但能量密度的分布不是。
We obtain in closed form the probability distribution for individual measurements of the stress-energy tensor of two-dimensional conformal field theory in the vacuum state, smeared in time against a Gaussian test function. The result is a shifted gamma distribution with the shift given by the previously known optimal quantum inequality bound. For small values of the central charge it is overwhelmingly likely that individual measurements of the sampled energy density in the vacuum give negative results. For the case of a single massless scalar field, the probability of finding a negative value is 84%. We also report on computations for four-dimensional massless scalar fields showing that the probability distribution of the smeared square field is also a shifted gamma distribution, but that the distribution of the energy density is not.