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

doi:10.1016/j.physletb.2004.09.028

paper

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

arXiv:hep-th/0407064 · doi:10.1016/j.physletb.2004.09.028

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.

8 pages and 2 figures