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.
Original language | English |
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Number of pages | 41 |
Journal | Classical and Quantum Gravity |
Volume | 35 |
Issue number | 3 |
Early online date | 15 Nov 2017 |
DOIs | |
Publication status | Published - 3 Jan 2018 |