Effective scalar potential in asymptotically safe quantum gravity

We compute the effective potential for scalar fields in asymptotically safe quantum gravity. A scaling potential and other scaling functions generalize the fixed point values of renormalizable couplings. The scaling potential takes a non-polynomial form, approaching typically a constant for large va...

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1. Verfasser: Wetterich, Christof (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 7 February 2021
In: Universe
Year: 2021, Jahrgang: 7, Heft: 2, Pages: 1-76
ISSN:2218-1997
DOI:10.3390/universe7020045
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.3390/universe7020045
Verlag, lizenzpflichtig, Volltext: https://www.mdpi.com/2218-1997/7/2/45
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Verfasserangaben:Christof Wetterich

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520 |a We compute the effective potential for scalar fields in asymptotically safe quantum gravity. A scaling potential and other scaling functions generalize the fixed point values of renormalizable couplings. The scaling potential takes a non-polynomial form, approaching typically a constant for large values of scalar fields. Spontaneous symmetry breaking may be induced by non-vanishing gauge couplings. We strengthen the arguments for a prediction of the ratio between the masses of the top quark and the Higgs boson. Higgs inflation in the standard model is unlikely to be compatible with asymptotic safety. Scaling solutions with vanishing relevant parameters can be sufficient for a realistic description of particle physics and cosmology, leading to an asymptotically vanishing “cosmological constant” or dynamical dark energy. 
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