English

Three dimensional noncommutative bosonization

High Energy Physics - Theory 2008-11-26 v1

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 θ\theta. We also discuss how the NC Yang-Mills action is induced in the next to leading order.

Keywords

Cite

@article{arxiv.0712.3631,
  title  = {Three dimensional noncommutative bosonization},
  author = {Rabin Banerjee and Subir Ghosh and T. Shreecharan},
  journal= {arXiv preprint arXiv:0712.3631},
  year   = {2008}
}

Comments

LaTex, 9 pages, no figures

R2 v1 2026-06-21T09:56:40.174Z