2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/174484I review the definition of n-point functions in loop quantum gravity, discussing what has been done and what are the main open issues. Particular attention is dedicated to gauge aspects and renormalization.Invited contribution to a special issue of Advanced Science Letters edited by Martin Bojowald. 14 pages. v2 minor correctionsGeneral Relativity and Quantum CosmologyHigh Energy Physics - TheoryBackground-free propagation in loop quantum gravitytext