F. A. Brito, T. Mariz, J. R. S. Nascimento, R. F. Ribeiro
Published 2003-04-30, updated 2003-08-11Version 3
We evaluate the noncommutative Chern-Simons action induced by fermions interacting with an Abelian gauge field in a noncommutative massive Thirring model in (2+1)-dimensional spacetime. This calculation is performed in the Dirac and Majorana representations. We observe that in Majorana representation when $\theta$ goes to zero we do not have induced Chern-Simons term in the dimensional regularization scheme.
Comments: Accepted to Phys. Rev. D; 9 pages, Revtex4, no figures, references added, minor improvements, Eq.31 corrected
Journal: Phys.Rev. D68 (2003) 087701
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