2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/220316In this paper we propose a translation-invariant scalar model on the Moyal space. We prove that this model does not suffer from the UV/IR mixing and we establish its renormalizability to all orders in perturbation theory.17 pages, 3 figuresMathematical PhysicsHigh Energy Physics - Theory81T15; 81T75A translation-invariant renormalizable non-commutative scalar modeltext