2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/185482We discuss both the UV and IR origin of the one-loop triangle gauge anomalies for noncommutative nonabelian chiral gauge theories with fundamental, adjoint and bi-fundamental fermions for U(N) groups. We find that gauge anomalies only come from planar triangle diagrams, the non-planar triangle contributions giving rise to no breaking of the Ward identies. Generally speaking, theories with fundamental and bi-fundamental chiral matter are anomalous. Theories with only adjoint chiral fermions are anomaly free.PlainTex, 21 pages, 2 eps figures, corrected some typosHigh Energy Physics - Theorytext