Asymptotic safety in O(N) scalar models coupled to gravity

We extend recent results on scalar-tensor theories to the case of an O(N)-invariant multiplet. Some exact fixed point solutions of the RG flow equations are discussed. We find that also in the functional context, on employing a standard type-I cutoff, too many scalars destroy the gravitational fixed point. For d = 3 we show the existence of the gravitationally dressed Wilson-Fisher fixed point also for N > 1. We discuss also the results of the analysis for a different, scalar-free, coarse-graining scheme. (C) 2015 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).