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

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

2000-12-04

arxiv.org/abs/hep-th/0012024v3

Nucl.Phys. B598 (2001) 348-370

Physics

High Energy Physics

High Energy Physics - Theory

Corrected typos. Version to appear in Nuclear Physics B

Scientific paper

10.1016/S0550-3213(01)00015-3

We show that U(N) Yang-Mills theory on noncommutative Minkowski space-time 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 $\hbar$, 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.

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