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

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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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hep-th 2

years

2026 2

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UNVERDICTED 2

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On Perturbatively Dressed Observables

hep-th · 2026-05-25 · unverdicted · novelty 5.0

Perturbative dressing of local operators in QED and GR induces kinematic singularities and is mathematically equivalent to dynamical temporal gauge fixing.

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