One-loop quantum gravitational corrections to the scalar two-point function at fixed geodesic distance
High Energy Physics - Theory
2018-01-04 v2 General Relativity and Quantum Cosmology
Abstract
We study a proposal for gauge-invariant correlation functions in perturbative quantum gravity, which are obtained by fixing the geodesic distance between points in the fluctuating geometry. These correlation functions are non-local and strongly divergent, and we show how to renormalise them by performing a "wave function renormalisation" of the geodesic embedding coordinates. The result is finite and gauge-independent, but displays unusual features such as double logarithms at one-loop order.
Cite
@article{arxiv.1706.01891,
title = {One-loop quantum gravitational corrections to the scalar two-point function at fixed geodesic distance},
author = {Markus B. Fröb},
journal= {arXiv preprint arXiv:1706.01891},
year = {2018}
}
Comments
41 pages, 3 figures, matches published version