Dynamical Breakdown of Symmetry in a (2+1) Dimensional Model Containing the Chern-Simons Field

Details Dynamical Breakdown of Symmetry in a (2+1) Dimensional Model Containing the Chern-Simons Field Dynamical Breakdown of Symmetry in a (2+1) Dimensional Model Containing the Chern-Simons Field

2003-05-06

arxiv.org/abs/hep-th/0305043v4

Phys.Rev. D69 (2004) 065011

Physics

High Energy Physics

High Energy Physics - Theory

Minor modifications in the text and figures

Scientific paper

10.1103/PhysRevD.69.065011

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.

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