Agravity

DOI10.1007/JHEP06(2014)080zbMATH Open1333.83050arXiv1403.4226WikidataQ55878493 ScholiaQ55878493MaRDI QIDQ270782

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Publication date: 7 April 2016

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Abstract: We explore the possibility that the fundamental theory of nature does not contain any scale. This implies a renormalizable quantum gravity theory where the graviton kinetic term has 4 derivatives, and can be reinterpreted as gravity minus an anti-graviton. We compute the super-Planckian RGE of adimensional gravity coupled to a generic matter sector. The Planck scale and a flat space can arise dynamically at quantum level provided that a quartic scalar coupling and its $$ function vanish at the Planck scale. This is how the Higgs boson behaves for $M_{h}approx125$ GeV at $M_{t}approx171$ GeV. Within agravity, inflation is a generic phenomenon: the slow-roll parameters are given by the $$-functions of the theory, and are small if couplings are perturbative. The predictions $n_{s}approx0.967$ and $rapprox0.13$ arise if the inflaton is identified with the Higgs of gravity. Furthermore, quadratically divergent corrections to the Higgs mass vanish: a small weak scale is natural and can be generated by agravity quantum corrections.

Full work available at URL: https://arxiv.org/abs/1403.4226

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