Large N quantum gravity

Abstract

We obtain the effective action of four-dimensional quantum gravity, induced by N massless matter fields, by integrating the renormalization group (RG) flow of the relative effective average action. By considering the leading approximation in the large N limit, where one neglects the gravitational contributions with respect to the matter contributions, we show how different aspects of quantum gravity, such as asymptotic safety, quantum corrections to the Newtonian potential and the conformal anomaly-induced effective action, are all represented by different terms of the effective action when this is expanded in powers of the curvature. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.