Czech Technical University in Prague
Starting from the ultraviolet fixed point we study the infrared behavior of RG dynamics within quantum Weyl gravity in terms of functional RG flow equation. To do so, we employ two classes of Bach-flat backgrounds, namely maximally symmetric spacetimes and Ricci-flat backgrounds in the improved one-loop scheme. We show, that in the absence of matter fields and with a topological term included, the fully relativistic effective action exhibits dynamical breaking of scale symmetry. In particular, it is shown that apart from a genuine IR fixed point that is reached at zero-value of the running scale, the RG flow also exhibits bouncing dynamics in the IR regime. We demonstrate that both couplings omega_C and omega_E reach the RG turning point (almost) simultaneously at the same finite energy scale, irrespectively of the chosen background. Salient issues, including the connection of the observed bouncing RG flow behavior with holography and prospective implications in early universe cosmology, are also briefly discussed.