(Submitted on 17 Mar 2014 (v1), last revised 4 Jun 2014 (this version, v2))
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 GeV at 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 and 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.
Submission historyFrom: Alessandro Strumia [view email]
[v1] Mon, 17 Mar 2014 19:38:37 GMT (229kb,D)
[v2] Wed, 4 Jun 2014 13:00:59 GMT (329kb,D)