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

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.

Minor modifications in the text and figures

References in corpus (2)

• Renormalization Group Study of Chern-Simons Field Coupled to Scalar Matter in a Modified BPHZ Subtraction Scheme
• A Renormalization Group Study of the $({\varphi }^{\ast }\varphi {)}^3$ Model coupled to a Chern-Simons Field

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