RT Journal Article T1 Anomaly freedom in Seiberg-Witten noncommutative gauge theories A1 Ruiz Ruiz, Fernando A1 Pérez Martín, Carmelo AB We show that noncommutative gauge theories with arbitrary compact gauge group defined by means of the Seiberg-Witten map have the same one-loop anomalies as their commutative counterparts. This is done in two steps. By explicitly calculating the epsilon(mu1mu2mu3mu4) part of the renormalized effective action, we first find the would-be one-loop anomaly of the theory to all orders in the noncommutativity parameter theta(munu). And secondly we isolate in the would-be anomaly radiative corrections which are not BRS trivial. This gives as the only true anomaly occurring in the theory the standard Bardeen anomaly of commutative spacetime, which is set to zero by the usual anomaly cancellation condition. PB Springer SN 1126-6708 YR 2003 FD 2003-07 LK https://hdl.handle.net/20.500.14352/51012 UL https://hdl.handle.net/20.500.14352/51012 LA eng NO © SISSA/ISAS 2003.CPM and FRR are grateful to CICyT, Spain for partial support through grant No. BFM2002-00950. NO CICyT DS Docta Complutense RD 5 abr 2025