Super-renormalizable and Finite Gravitational Theories
by
Leslaw Rachwal(Fudan University)
→
Europe/Stockholm
122:026
122:026
Description
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.