Asymptotic safety

Asymptotic safety or nonperturbatively renormalizability, aims at finding a predictive quantum theory of a gravitational field. 

It was originally proposed by Steven Weinberg, to find a theory of quantum gravity. The idea remains: a nontrivial fixed point providing a possible UV completion. 

Asymptotic safety observes, in its essence, that nontrivial renormalization group fixed points can be used for the procedure of perturbative renormalization.