期刊
UNIVERSE
卷 7, 期 2, 页码 -出版社
MDPI
DOI: 10.3390/universe7020045
关键词
quantum gravity; asymptotic safety; effective scalar potential; inflation; Higgs inflation; Higgs boson mass
This study computes the effective potential for scalar fields in asymptotically safe quantum gravity, finding that the scaling potential and other scaling functions can generalize the fixed point values of renormalizable couplings, and providing evidence for phenomena such as spontaneous symmetry breaking induced by non-vanishing gauge couplings.
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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