One-loop quantum gravitational corrections to the scalar two-point function at fixed geodesic distance
arXiv:1706.01891 · doi:10.1088/1361-6382/aa9ad1
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.
41 pages, 3 figures, matches published version
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