%0 Journal Article %A Pérez Martín, Carmelo %A Trampetić, Josip %A You, Jiangyang %T Equivalence of quantum field theories related by the θ-exact Seiberg-Witten map %D 2016 %@ 2470-0010 %U https://hdl.handle.net/20.500.14352/19000 %X The equivalence of the noncommutative U(N) quantum field theories related by the θ-exact Seiberg-Witten maps is, in this paper, proven to all orders in the perturbation theory with respect to the coupling constant. We show that this holds for super Yang-Mills theories with N=0, 1, 2, 4 supersymmetry. A direct check of this equivalence relation is performed by computing the one-loop quantum corrections to the quadratic part of the effective action in the noncommutative U(1) gauge theory with N=0, 1, 2, 4 supersymmetry. %~