The perturbative non-renormalizability of the Einstein-Hilbert action is often taken as a hint that a quantum field theory of gravity should be non-perturbative, and asymptotically safe quantum gravity is often viewed as an example. In this talk, I will present indications that asymptotically safe quantum gravity with matter is instead near perturbative and I will discuss implications, both for the control of approximations as well as for the relation of Euclidean to Lorentzian signature settings.

This video was produced by the University of Münster, as part of the workshop From perturbative to non-perturbative QFT.