Quantum aspects of the Seiberg–Witten map in noncommutative Chern–Simons theory Original Research Article

Noncommutative Chern–Simons theory can be classically mapped to commutative Chern–Simons theory by the Seiberg–Witten map. We provide evidence that the equivalence persists at the quantum level by computing two and three-point functions of field strengths on the commutative side and their Seiberg–Witten transforms on the noncommutative side to the first nontrivial order in perturbation theory.