On the consistency of the three-dimensional noncommutative supersymmetric Yang-Mills theory

Details On the consistency of the three-dimensional noncommutative supersymmetric Yang-Mills theory On the consistency of the three-dimensional noncommutative supersymmetric Yang-Mills theory

2004-07-08

arxiv.org/abs/hep-th/0407064v1

Phys.Lett. B601 (2004) 88-92

Physics

High Energy Physics

High Energy Physics - Theory

8 pages and 2 figures

Scientific paper

10.1016/j.physletb.2004.09.028

We study the one-loop quantum corrections to the U(N) noncommutative supersymmetric Yang-Mills theory in three spacetime dimensions (NCSYM$_3$). We show that the cancellation of the dangerous UV/IR infrared divergences only takes place in the fundamental representation of the gauge group. Furthermore, in the one-loop approximation, the would be subleading UV and UV/IR infrared divergences are shown to vanish.

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