Minkowski Vacuum Stress Tensor Fluctuations

Details Minkowski Vacuum Stress Tensor Fluctuations Minkowski Vacuum Stress Tensor Fluctuations

2005-06-06

arxiv.org/abs/gr-qc/0506026v3

Phys.Rev. D72 (2005) 105010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

24 pages, 5 figures; Some additional comments added in Sect. IIB and a more compact argument given in App. C

Scientific paper

10.1103/PhysRevD.72.105010

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 worldline. 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.

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