Gravitons and Lightcone Fluctuations II: Correlation Functions
arXiv:gr-qc/9604052 · doi:10.1103/PhysRevD.54.2640
Abstract
A model of a fluctuating lightcone due to a bath of gravitons is further investigated. The flight times of photons between a source and a detector may be either longer or shorter than the light propagation time in the background classical spacetime, and will form a Gaussian distribution centered around the classical flight time. However, a pair of photons emitted in rapid succession will tend to have correlated flight times. We derive and discuss a correlation function which describes this effect. This enables us to understand more fully the operational significance of a fluctuating lightcone. Our results may be combined with observational data on pulsar timing to place some constraints on the quantum state of cosmological gravitons.
16 pages and two figures, uses epsf
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Cited by in corpus (40)
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