Noncommutative massive Thirring model in three-dimensional spacetime
arXiv:hep-th/0305003 · doi:10.1103/PhysRevD.68.087701
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.
Accepted to Phys. Rev. D; 9 pages, Revtex4, no figures, references added, minor improvements, Eq.31 corrected