One-loop shift in noncommutative Chern–Simons coupling Original Research Article

In this paper we study the one-loop shift in the coupling constant in a noncommutative pure U(N) Chern–Simons gauge theory in three dimensions. The one-loop shift is shown to be a constant proportional to N, independent of noncommutativity parameters, and non-vanishing for U(1) theory. Possible physical and mathematical implications of this result are discussed.