Nonlocal theories of gravity: the flat space propagator

It was recently found that there are classes of nonlocal gravity theories that are free of ghosts and singularities in their Newtonian limit [PRL, 108 (2012), 031101]. In these proceedings, a detailed and pedagogical derivation of a main result, the flat space propagator for an arbitrary covariant metric theory of gravitation, is presented. The result is applied to analyse f® models, Gauss-Bonnet theory, Weyl-squared gravity and the potentially asymptotically free nonlocal theories.