Three dimensional noncommutative bosonization

Details Three dimensional noncommutative bosonization Three dimensional noncommutative bosonization

2007-12-21

arxiv.org/abs/0712.3631v1

Phys.Lett.B662:231-236,2008

Physics

High Energy Physics

High Energy Physics - Theory

LaTex, 9 pages, no figures

Scientific paper

10.1016/j.physletb.2008.02.043

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.

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