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
Main Authors: Peter Labus, Roberto Percacci, Gian Paolo Vacca
Format: Article
Language:English
Published: Elsevier 2016-02-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269315009703
Description
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