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A bstractWe compute the one-loop 1PI contributions to all the propagators of the noncommutative (NC) N=1,2,4$$ \mathcal{N}=1,2,4 $$ super Yang-Mills (SYM) U(1) theories defined by the means of the θ-exact Seiberg-Witten (SW) map in the Wess-Zumino gauge. Then we extract the UV divergent contributions and the noncommutative IR divergences. We show that all the quadratic noncommutative IR divergences add up to zero in each propagator.

Super Yang-Mills and θ-exact Seiberg-Witten map: absence of quadratic noncommutative IR divergences