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arXiv · hep-th/0003007

Induced Chern-Simons and WZW action in Noncommutative Spacetime

Chong-Sun Chu
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Abstract

We consider noncommutative gauge theory with Dirac or Majorana fermions in odd dimensional spacetime and compute the induced noncommutative Chern-Simons action generated at 1-loop. We observe that the Chern-Simons term induced by a Dirac fermion has a smooth limit when $þ---> 0$, but there is a finite jump for the Chern-Simons term induced by a Majorana spinor. The induced Chern-Simons action from a Majorana spinor is nonvanishing even in the $þ---> 0$ limit, a discontinuity that shares a similar characteristic as the UV/IR singularity discovered originally by Minwalla, Raamsdonk and Seiberg. Properties of the noncommutative WZW action are also discussed.

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Chong-Sun Chu. 2000-04-20. Induced Chern-Simons and WZW action in Noncommutative Spacetime. https://doi.org/10.1016/s0550-3213(00)00246-7

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