Abstract
We review the status of the Starobinsky-like models for inflation beyond minimal gravity and discuss the unitarity problem due to the presence of a large non-minimal gravity coupling. We show that the induced gravity models allow for a self-consistent description of inflation and discuss the implications of the inflaton couplings to the Higgs field in the Standard Model.
Highlights
It was precisely five years ago since the discovery of Higgs boson on July 4, 2012 [1] that I gave this talk in the 2017 International Conference on Gravitation
We show that in induced gravity models, the inflaton potential is justified against the quantum corrections due to physics below the Planck scale
The inflationary predictions are the same as in induced gravity models, the non-minimal coupling does not rescale the inflaton field in vacuum such that the interaction terms in the inflaton potential are suppressed by ΛUV = MP/ξ1/(n−1), which hints at the premature violation of unitarity below the Planck scale [8]
Summary
It was precisely five years ago since the discovery of Higgs boson on July 4, 2012 [1] that I gave this talk in the 2017 International Conference on Gravitation. Together with the detection of gravitational waves coming from the merger of binary black holes on September 14, 2015 [2], we have the fortune to encounter the memorable moments of triumphs of the Standard Model (SM) and General Relativity in our century. Even with such a huge success of our understanding fundamental interactions from subatomic scales to cosmological distances, there remain open questions on the validity of our theories at high energies and in the early Universe. We show that in induced gravity models, the inflaton potential is justified against the quantum corrections due to physics below the Planck scale
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