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 fix...

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Bibliographic Details
Published in:Physics letters. B 2016-02, Vol.753 (C), p.274-281
Main Authors: Labus, Peter, Percacci, Roberto, Vacca, Gian Paolo
Format: Article
Language:English
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Summary: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.
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2015.12.022