Gravitons and Lightcone Fluctuations II: Correlation Functions
摘要
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.
引用
@article{arxiv.gr-qc/9604052,
title = {Gravitons and Lightcone Fluctuations II: Correlation Functions},
author = {L. H. Ford and N. F. Svaiter},
journal= {arXiv preprint arXiv:gr-qc/9604052},
year = {2011}
}
备注
16 pages and two figures, uses epsf