Agravity (original) (raw)

ADS

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 β function vanish at the Planck scale. This is how the Higgs boson behaves for M h ≈ 125 GeV and M t ≈ 171 GeV. Within agravity, inflation is a generic phenomenon: the slow-roll parameters are given by the β-functions of the theory, and are small if couplings are perturbative. The predictions n s ≈ 0 .967 and r ≈ 0 .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.

Publication:

Journal of High Energy Physics

Pub Date:

June 2014

DOI:

10.1007/JHEP06(2014)080

10.48550/arXiv.1403.4226

arXiv:

arXiv:1403.4226

Bibcode:

2014JHEP...06..080S

Keywords:

E-Print:

24 pages. References added, final version to appear on JHEP. v3: misprints fixed