2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/49834Noncommutative quantum field theory of a complex scalar field is considered. There is a two-coupling noncommutative analogue of U(1)-invariant quartic interaction $(ϕ^*ϕ)^2$, namely $Aϕ^*\starϕ\starϕ^*\starϕ+ Bϕ^*\starϕ^*\starϕ\starϕ$. For arbitrary values of $A$ and $B$ the model is nonrenormalizable. However, it is one-loop renormalizable in two special cases: B=0 and $A=B$. Furthermore, in the case B=0 the model does not suffer from IR divergencies at least at one-loop insertions level.5 pages, 1 figureHigh Energy Physics - Theorytext