Lessons from conformally reduced quantum gravity

In this work we study a significantly enlarged truncation of conformally reduced quantum gravity in the context of asymptotic safety, including all operators that can be resolved in such a truncation including up to the sixth order in derivatives. A fixed point analysis suggests that there is no asymptotically safe fixed point in this system once one goes beyond an Einstein–Hilbert approximation. We will put these findings into context and discuss some lessons that can be learned from these results for general non-perturbative renormalisation group flows. (paper)