Correlations of the stress-energy tensor in AdS spaces via the generalized zeta-function method
Abstract
We calculate the vacuum expectation values of the stress-energy bitensor of a minimally coupled massless scalar field in anti-de Sitter (AdS) spaces. These correlators, also known as the noise kernel, act as sources in the Einstein-Langevin equations of stochastic gravity [1,2] which govern the induced metric fluctuations beyond the mean-field dynamics described by the semiclassical Einstein equations of semiclassical gravity. Because the AdS spaces are maximally symmetric the eigenmodes have analytic expressions which facilitate the computation of the zeta-function [3,4]. Upon taking the second functional variation of the generalized zeta function introduced in [5] we obtain the correlators of the stress tensor. Both the short and the long geodesic distance limits of the correlators are presented.
Keywords
Cite
@article{arxiv.1105.5302,
title = {Correlations of the stress-energy tensor in AdS spaces via the generalized zeta-function method},
author = {H. T. Cho and B. L. Hu},
journal= {arXiv preprint arXiv:1105.5302},
year = {2015}
}
Comments
12 pages, no figures. Presented at IARD 2010 Conference, Hualien, Taiwan (May 2010). Proceedings to appear in Journal of Physics: Conference Series