One-loop Shift in Noncommutative Chern-Simons Coupling

Abstract

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.

19 pages, 2 figures, RevTex, notice added,NPB final version

References in corpus (1)

• String Theory and Noncommutative Geometry

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