Higher derivative Chern-Simons extension in the noncommutative QED${}_3$

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.

arXiv comment20 pages, published version

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Cited by in corpus (7)

• Stable interactions in higher derivative field theories of derived type
• Higher order derivatives extension of Maxwell-Chern-Simons electrodynamics in the presence of field sources and material boundaries
• Nonminimal planar electrodynamics modified by higher-derivative terms
• Noncommutative Maxwell-Chern-Simons theory (I): One-loop dispersion relation analysis
• Perturbative effective action for the photon in noncommutative QED${}_2$ and exactness of the Schwinger mass
• One-loop Photon's Effective Action in the Noncommutative Scalar QED${}_3$
• Three-dimensional noncommutative Yukawa theory: Induced effective action and propagating modes