Dynamical Breakdown of Symmetry in a (2+1) Dimensional Model Containing the Chern-Simons Field
High Energy Physics - Theory
2009-11-10 v4
Abstract
We study the vacuum stability of a model of massless scalar and fermionic fields minimally coupled to a Chern-Simons field. The classical Lagrangian only involves dimensionless parameters, and the model can be thought as a (2+1) dimensional analog of the Coleman-Weinberg model. By calculating the effective potential, we show that dynamical symmetry breakdown occurs in the two-loop approximation. The vacuum becomes asymmetric and mass generation, for the boson and fermion fields takes place. Renormalization group arguments are used to clarify some aspects of the solution.
Keywords
Cite
@article{arxiv.hep-th/0305043,
title = {Dynamical Breakdown of Symmetry in a (2+1) Dimensional Model Containing the Chern-Simons Field},
author = {Alex G. Dias and M. Gomes and A. J. da Silva},
journal= {arXiv preprint arXiv:hep-th/0305043},
year = {2009}
}
Comments
Minor modifications in the text and figures