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

Abstract

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 $\hslash$, 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.

Corrected typos. Version to appear in Nuclear Physics B

References in corpus (3)

• The quantum structure of spacetime at the Planck scale and quantum fields
• Renormalization of noncommutative U(N) gauge theories
• Noncommutative $\mathcal{N}=1,2$ super U(N) Yang-Mills: UV/IR mixing and effective action results at one loop

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