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arXiv · 1412.1635

Higher derivative Chern-Simons extension in the noncommutative QED$_{3}$

M. Ghasemkhani·R. Bufalo
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Abstract

The noncommutative (NC) massive quantum electrodynamics in $2+1$ dimensions is considered. We show explicitly that the one-loop effective action arising from the integrating out the fermionic fields leads to the ordinary NC Chern-Simons and NC Maxwell action at the long wavelength limit (large fermion mass). In the next to leading order, the higher-derivative contributions to NC Chern-Simons are obtained. Moreover, the gauge invariance of the outcome action is carefully discussed. We then consider the higher-derivative modification into the pure NC Chern-Simons Lagrangian density and evaluate the one-loop correction to the pole of the photon propagator.

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M. Ghasemkhani, R. Bufalo. 2014-12-04. Higher derivative Chern-Simons extension in the noncommutative QED$_{3}$. https://doi.org/10.1103/physrevd.91.125013

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