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. © 2015 The Authors.

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

Labus, Peter;Percacci, Roberto;
2016-01-01

Abstract

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. © 2015 The Authors.
2016
753
Feb
274
281
10.1016/j.physletb.2015.12.022
https://arxiv.org/abs/1505.05393
Labus, Peter; Percacci, Roberto; Vacca, G. P.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/17424
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