Off-shell diagrammatics for quantum gravity

This article reports on how diagrammatic identities of Yang–Mills theory translate to diagrammatics for pure gravity. For this, we consider the Einstein–Hilbert action and follow the approach of Capper, Leibbrandt, and Medrano and expand the inverse metric density around the Minkowski metric. By analogy to Yang–Mills theory, cancellation identities are constructed for the graviton as well as the ghost vertices up to the valency of six.