Noncommutative massive Thirring model in three-dimensional spacetime
High Energy Physics - Theory
2009-11-10 v3 General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
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 goes to zero we do not have induced Chern-Simons term in the dimensional regularization scheme.
Cite
@article{arxiv.hep-th/0305003,
title = {Noncommutative massive Thirring model in three-dimensional spacetime},
author = {F. A. Brito and T. Mariz and J. R. S. Nascimento and R. F. Ribeiro},
journal= {arXiv preprint arXiv:hep-th/0305003},
year = {2009}
}
Comments
Accepted to Phys. Rev. D; 9 pages, Revtex4, no figures, references added, minor improvements, Eq.31 corrected