Effective scalar potential in asymptotically safe quantum gravity

• Verfasst von: Wetterich, Christof [VerfasserIn]
• Titel: Effective scalar potential in asymptotically safe quantum gravity
• Verf.angabe: Christof Wetterich
• E-Jahr: 2021
• Jahr: 7 February 2021
• Umfang: 76 S.
• Teil: volume:7
• Teil: year:2021
• Teil: number:2
• Teil: elocationid:45
• Teil: pages:1-76
• Teil: extent:76
• Fussnoten: Gesehen am 10.09.2021
• Titel Quelle: Enthalten in: Universe
• Ort Quelle: Basel : MDPI, 2015
• Jahr Quelle: 2021
• Band/Heft Quelle: 7(2021), 2, Artikel-ID 45, Seite 1-76
• ISSN Quelle: 2218-1997
• DOI: doi:10.3390/universe7020045
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: asymptotic safety
• Sach-SW: effective scalar potential
• Sach-SW: Higgs boson mass
• Sach-SW: Higgs inflation
• Sach-SW: inflation
• Sach-SW: quantum gravity
• K10plus-PPN: 1752970675

Abstract

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.