2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/157386We discuss in some detail certain gaps and open problems in the recent paper by E. T. Tomboulis, which claims to give a rigorous proof of quark confinement in 4D lattice Yang-Mills theory for all values of the bare coupling. We also discuss what would be needed to fill the gaps in his proof.18 pages, 2 figuresHigh Energy Physics - TheoryHigh Energy Physics - LatticeMathematical Physicstext