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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Elsevier
2016-02-01
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Series: | Physics Letters B |
Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269315009703 |
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. |
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ISSN: | 0370-2693 1873-2445 |