Quantum Gravity from Dynamical Metric Fluctuations

In this contribution, we discuss the asymptotic safety scenario for quantum gravity with a functional renormalization group approach that disentangles dynamical metric fluctuations from the background metric. We detail the derivation of flow equations on Euclidean and Lorentzian signatures and discuss the diffeomorphism symmetry constraints on the flow. Concerning the results, we focus on a comprehensive review of momentum-dependent correlation functions at vanishing cutoff scale, the asymptotically safe Standard Model, and spectral properties of asymptotically safe gravity from direct computation in space-times with Lorentzian signatures.