Three dimensional noncommutative bosonization

Abstract

We consider the extension of the 2+1-dimensional bosonization process in Non-Commutative (NC) spacetime. We show that the large mass limit of the effective action obtained by integrating out the fermionic fields in NC spacetime leads to the NC Chern-Simons action. The present result is valid to all orders in the noncommutative parameter $\theta$. We also discuss how the NC Yang-Mills action is induced in the next to leading order.

LaTex, 9 pages, no figures

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• Study of the photon's pole structure in the noncommutative Schwinger model
• One-loop Photon's Effective Action in the Noncommutative Scalar QED${}_3$
• The small and large D limit of Parikh-Wilczek tunneling model for Hawking radiation
• Three-dimensional noncommutative Yukawa theory: Induced effective action and propagating modes