OKC/Nordita High-Energy Physics Theory seminar

Super-renormalizable and Finite Gravitational Theories

by Leslaw Rachwal (Fudan University)

122:026 ()


We 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 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, in which it 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.