Off-shell Diagrammatics for Quantum Gravity

Abstract

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.