The Perturbative Gross Neveu Model Coupled to a Chern-Simons Field: A Renormalization Group Study
High Energy Physics - Theory
2009-10-31 v1
Abstract
In 2+1 dimensions, for low momenta, using dimensional renormalization we study the effect of a Chern-Simons field on the perturbative expansion of fermions self interacting through a Gross Neveu coupling. For the case of just one fermion field, we verify that the dimension of operators of canonical dimension lower than three decreases as a function of the Chern-Simons coupling.
Keywords
Cite
@article{arxiv.hep-th/9810106,
title = {The Perturbative Gross Neveu Model Coupled to a Chern-Simons Field: A Renormalization Group Study},
author = {V. S. Alves and M. Gomes and S. V. L. Pinheiro and A. J. da Silva},
journal= {arXiv preprint arXiv:hep-th/9810106},
year = {2009}
}
Comments
19 pages, 6 figures, revtex. To appear in Phys. Rev. D