The BRS invariance of noncommutative U (N) Yang-Mills theory at the one-loop level

We show that U(N) Yang-Mills theory on noncommutative Minkowski spacetime c an be renormalized, in a BRS invariant way, at the one-loop level, by multi plicative dimensional renormalization of its coupling constant, its gauge p arameter and its fields. It is shown that the Slavnov-Taylor equation, the gauge-fixing equation and the ghost equation hold, up to order A, for the M S renormalized noncommutative U(N) Yang-Mills theory. We give the value of the pole part of every 1PI diagram which is UV divergent. (C) 2001 Elsevier Science B.V. All rights reserved.