2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/206512We review the recent approach of Grosse and Wulkenhaar to the perturbative renormalization of non commutative field theory and suggest a related constructive program. This paper is dedicated to J. Bros on his 65th birthday.9 pages, 2 figures, Proceedings of conference "Rigorous Quantum Field Theory" in honor of J. BrosHigh Energy Physics - TheoryMathematical Physicstext