Noncommutative massive Thirring model in three-dimensional spacetime

Details Noncommutative massive Thirring model in three-dimensional spacetime Noncommutative massive Thirring model in three-dimensional spacetime

2003-04-30

arxiv.org/abs/hep-th/0305003v3

Phys.Rev. D68 (2003) 087701

Physics

High Energy Physics

High Energy Physics - Theory

Accepted to Phys. Rev. D; 9 pages, Revtex4, no figures, references added, minor improvements, Eq.31 corrected

Scientific paper

10.1103/PhysRevD.68.087701

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.

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