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.

20 pages, published version

References in corpus (4)

• Riemannian Geometry of Noncommutative Surfaces
• Renormalisability of the matter determinants in noncommutative gauge theory in the enveloping-algebra formalism
• Three dimensional noncommutative bosonization
• Källén-Lehmann representation of noncommutative quantum electrodynamics

Cited by in corpus (2)

• Higher order derivatives extension of Maxwell-Chern-Simons electrodynamics in the presence of field sources and material boundaries
• Three-dimensional noncommutative Yukawa theory: Induced effective action and propagating modes