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arXiv · 2606.13098

The Graviton Propagator in Asymptotically Safe Gravity with Non-Local Form Factors

Emiliano Maria Glaviano
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Abstract

We analyze the flow of the background graviton propagator driven by the running of asymptotically safe form factors in four-dimensional quantum gravity at quadratic order in the curvature expansion. We construct the propagator in the $k=0$ limit and investigate its momentum dependence. The non-local form factors are then analytically continued to Minkowski spacetime, from which the corresponding Minkowskian propagator is obtained. We find a single pole at $q^2=0$ with positive residue and no additional ghost poles at this level of approximation. The corresponding Newtonian potential is found to be regular at $r=0$.

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Emiliano Maria Glaviano. 2026-06-11. The Graviton Propagator in Asymptotically Safe Gravity with Non-Local Form Factors. https://arxiv.org/abs/2606.13098

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