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arXiv · hep-th/0305003

Noncommutative massive Thirring model in three-dimensional spacetime

F. A. Brito·T. Mariz·J. R. S. Nascimento·R. F. Ribeiro
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Abstract

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 $θ$ goes to zero we do not have induced Chern-Simons term in the dimensional regularization scheme.

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F. A. Brito, T. Mariz, J. R. S. Nascimento, R. F. Ribeiro. 2003-08-11. Noncommutative massive Thirring model in three-dimensional spacetime. https://doi.org/10.1103/physrevd.68.087701

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