Noncommutative massive Thirring model in three-dimensional spacetime

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

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

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Cited by in corpus (5)

• Chern-Simons-like action induced radiatively in General Relativity
• Issues of duality on non-commutative manifolds: the {\it non-equivalence} between self-dual and topologically massive models
• Noncommutative fields in three dimensions and mass generation
• Anomaly cancellation in three-dimensional noncommutative gauge theories
• Massless Three Dimensional Quantum Electrodynamics and Thirring Model Constrained by Large Flavor Number