A single scalar with higher-derivative kinetic term and derivative quartic interactions is a toy model for higher derivative gravity. The Functional Renormalization Group shows that this theory is asymptotically free both in the UV and in the IR. The physical implications of this result are clarified in part by by computing the scattering amplitudes.

This video was produced by the University of Münster, as part of the workshop From perturbative to non-perturbative QFT.