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arXiv · hep-th/0103139

Absence of Higher Order Corrections to Noncommutative Chern-Simons Coupling

Ashok Das·M. M. Sheikh-Jabbari
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Abstract

We analyze the structure of noncommutative pure Chern-Simons theory systematically in the axial gauge. We show that there is no IR/UV mixing in this theory in this gauge. In fact, we show, using the usual BRST identities as well as the identities following from vector supersymmetry, that this is a free theory. As a result, the tree level Chern-Simons coefficient is not renormalized. It also holds that the Chern-Simons coefficient is not modified at finite temperature. As a byproduct of our analysis, we prove that the ghosts completely decouple in the axial gauge in a noncommutative gauge theory.

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Ashok Das, M. M. Sheikh-Jabbari. 2001-03-17. Absence of Higher Order Corrections to Noncommutative Chern-Simons Coupling. https://doi.org/10.1088/1126-6708%2F2001%2F06%2F028

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