Superrenormalizable quantum gravity with complex ghosts

Abstract

We suggest and briefly review a new sort of superrenormalizable models of higher derivative quantum gravity. The higher derivative terms in the action can be introduced in such a way that all the unphysical massive states have complex poles. According to the literature on Lee-Wick quantization, in this case the theory can be formulated as unitary, since all massive ghosts-like degrees of freedom are unstable.

LaTeX, 15 pages, no figures. Modified version with small misprints corrected and Acknowledgments section inserted. To be published in Physics Letters B

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