On characterizing the Quantum Geometry underlying Asymptotic Safety

Understand

The asymptotic safety program builds on a high-energy completion of gravity based on the Reuter fixed point, a non-trivial fixed point of the gravitational renormalization group flow.

• At this fixed point the canonical mass-dimension of coupling constants is balanced by anomalous dimensions induced by quantum fluctuations such that the theory enjoys quantum scale invariance in the ultraviolet.
• The crucial role played by the quantum fluctuations suggests that the geometry associated with the fixed point exhibits non-manifold like properties.
• In this work, we continue the characterization of this geometry employing the composite operator formalism based on the effective average action.