Skip to main page content
Access keys NCBI Homepage MyNCBI Homepage Main Content Main Navigation
. 2018;78(2):124.
doi: 10.1140/epjc/s10052-018-5588-4. Epub 2018 Feb 10.

Agravity Up to Infinite Energy

Free PMC article

Agravity Up to Infinite Energy

Alberto Salvio et al. Eur Phys J C Part Fields. .
Free PMC article


The self-interactions of the conformal mode of the graviton are controlled, in dimensionless gravity theories (agravity), by a coupling f 0 that is not asymptotically free. We show that, nevertheless, agravity can be a complete theory valid up to infinite energy. When f 0 grows to large values, the conformal mode of the graviton decouples from the rest of the theory and does not hit any Landau pole provided that scalars are asymptotically conformally coupled and all other couplings approach fixed points. Then agravity can flow to conformal gravity at infinite energy. We identify scenarios where the Higgs mass does not receive unnaturally large physical corrections. We also show a useful equivalence between agravity and conformal gravity plus two extra conformally coupled scalars, and we give a simpler form for the renormalization group equations of dimensionless couplings as well as of massive parameters in the presence of the most general matter sector.


Fig. 1
Fig. 1
RGE running of the main dimensionless couplings f0,f2,gP in the two possible scenarios that do not lead to unnaturally large corrections to the Higgs mass: f0,f21 at the Planck scale (left), f21 and f01 at the Planck scale (right). Here MPl is the Planck mass, M2f2M¯Pl/2 is the graviton ghost mass, Λ0 is the RGE scales at which f04π.

Similar articles

See all similar articles


    1. Utiyama R, DeWitt BS. Renormalization of a classical gravitational field interacting with quantized matter fields. J. Math. Phys. 1962;3:608. doi: 10.1063/1.1724264. - DOI
    1. S. Weinberg, Problems in gauge field theories. [InSpires:Weinberg:1974tw]
    1. Stelle KS. Renormalization of higher derivative quantum gravity. Phys. Rev. D. 1977;16:953. doi: 10.1103/PhysRevD.16.953. - DOI
    1. Salvio A, Strumia A. Agravity. JHEP. 2014;1406:080. doi: 10.1007/JHEP06(2014)080. - DOI
    1. Wetterich C. Inflation, quintessence, and the origin of mass. Nucl. Phys. 2015;B897:111. doi: 10.1016/j.nuclphysb.2015.05.019. - DOI

LinkOut - more resources