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

We show that U(N) Yang–Mills theory on noncommutative Minkowski spacetime can be renormalized, in a BRS invariant way, at the one-loop level, by multiplicative dimensional renormalization of its coupling constant, its gauge parameter and its fields. It is shown that the Slavnov–Taylor equation, the gauge-fixing equation and the ghost equation hold, up to order ℏ, for the MS renormalized noncommutative U(N) Yang–Mills theory. We give the value of the pole part of every 1PI diagram which is UV divergent.