Gravity-Matter Feynman Rules for any Valence

Abstract

This article derives and presents the Feynman rules for (effective) Quantum General Relativity coupled to the Standard Model for any vertex valence and with general gauge parameter $\zeta$. The results are worked out for the metric decomposition $g_{\mu \nu }={\eta }_{\mu \nu }+\varkappa h_{\mu \nu }$, a linearized de Donder gauge fixing and four dimensions of spacetime. To this end, we calculate the Feynman rules for gravitons, graviton-ghosts and for the couplings of gravitons to scalars, spinors, gauge bosons and gauge ghosts.

Comments: 41 pages, article; minor revisions and added material; version to appear in Classical and Quantum Gravity