2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/141928We complete our previous recent review on noncommutative field theory, discussing in particular the constructive aproach to the Grosse-Wulkenhaar theory. We also suggest that by gluing together many Grosse-Wulkenhaar theories at high energy one can obtain an effective commutative field theory at lower energy.27 pages, 2 figuresMathematical PhysicsWhy Renormalizable NonCommutative Quantum Field Theories?text