Super-renormalizable and finite gravitational theories

By L. Modesto, L. Rachwał. 2014

240 citations recorded by the source corpus.

Abstract We hereby introduce and extensively study a class of non-polynomial higher derivative theories of gravity that realize a ultraviolet (UV) completion of Einstein general relativity. These theories are unitary (ghost free) and at most only one-loop divergences survive. The outcome is a class of theories super-renormalizable in even dimension and finite in odd dimension. Moreover, we explicitly prove in D = 4 that there exists an extension of the theory that is completely finite and all the beta functions vanish even at one-loop. These results can be easily extended in extra dimensions and it is likely that the higher dimensional theory can be made finite, too. Therefore we have the possibility for “finite quantum gravity” in any dimension.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/a1abafb022fb7144c8de88f21f4c41ad67367935

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

In Nuclear and High Energy Physics

Citations in the corpus

Notes on nonsingular models of black holes (2016, background): “[11] Leonardo Modesto and Leslaw Rachwal, “Superrenormalizable and finite gravitational theories,” Nucl.”
Occurrence of exact R2 inflation in non-local UV-complete gravity (2016, background): “We proved the multi-loop Feynman diagrams to be finite and, therefore, the beta functions are actually one-loop exact (see [20] for more details).”
Towards understanding the ultraviolet behavior of quantum loops in infinite-derivative theories of gravity (2014, background): “In Ref.”