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arXiv · 1706.01891

One-loop quantum gravitational corrections to the scalar two-point function at fixed geodesic distance

Markus B. Fröb
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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.

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Markus B. Fröb. 2018-01-03. One-loop quantum gravitational corrections to the scalar two-point function at fixed geodesic distance. https://doi.org/10.1088/1361-6382%2Faa9ad1

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