2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/216181We construct a spin foam model of Yang-Mills theory coupled to gravity by using a discretized path integral of the BF theory with polynomial interactions and the Barret-Crane ansatz. In the Euclidian gravity case we obtain a vertex amplitude which is determined by a vertex operator acting on a simple spin network function. The Euclidian gravity results can be straightforwardly extended to the Lorentzian case, so that we propose a Lorentzian spin foam model of Yang-Mills theory coupled to gravity.10 pagesGeneral Relativity and Quantum CosmologyHigh Energy Physics - Theorytext