We study the vacuum stability of a model of massless scalar and fermionic fields minimally coupled to a Chern-Simons field. The classical Lagrangian involves only dimensionless parameters, and the model can be thought of as a (2+1)-dimensional analogue 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.
Physical Review D
- Pub Date:
- March 2004
- Field theories in dimensions other than four;
- Spontaneous and radiative symmetry breaking;
- High Energy Physics - Theory
- Minor modifications in the text and figures