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

A. F. Ferrari·H. O. Girotti·M. Gomes·A. Yu. Petrov·A. A. Ribeiro·A. J. da Silva
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Abstract

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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A. F. Ferrari, H. O. Girotti, M. Gomes, A. Yu. Petrov, A. A. Ribeiro, A. J. da Silva. 2004-07-08. On the consistency of the three-dimensional noncommutative supersymmetric Yang-Mills theory. https://doi.org/10.1016/j.physletb.2004.09.028

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