Agravity
(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 itsβ function vanish at the Planck scale. This is how the Higgs boson behaves forMh≈125 GeV atMt≈171 GeV. Within agravity, inflation is a generic phenomenon: the slow-roll parameters are given by theβ -functions of the theory, and are small if couplings are perturbative. The predictionsns≈0.967 andr≈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.
Submission history
From: 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)