Equivalence of quantum field theories related by the θ-exact Seiberg-Witten map

2016, August 18
Carmelo P. Martin, Josip Trampetićand Jiangyang You
PHYSICAL REVIEW D 94, 041703(R) (2016)
  PhysRevD.94.041703

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 1⁄4 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 1⁄4 0, 1, 2, 4 supersymmetry.