Abstract
In the recently proposed non-local theory of quantum gravity one can avoid massive tensor ghosts at the tree level by introducing an exponential form factor between the two Ricci tensors. We show that at the quantum level this theory has an infinite amount of massive unphysical states, mostly corresponding to complex poles.
Highlights
The general relativity (GR) is a very successful theory of gravity, but it is perhaps not an ultimate theory
One of the reasons is that the fourth derivative terms in the action of gravity become necessary as the UV completion of the theory at the semiclassical level [1]
The main conflict of quantum gravity (QG) is between renormalizability and unitarity
Summary
The general relativity (GR) is a very successful theory of gravity, but it is perhaps not an ultimate theory. The main conclusion is that the power counting in the non-local theory of [10] is the same as in the local higher derivative superrenormalizable QG suggested earlier in [21]. In both cases there is a chance to make such a QG theory finite.
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