Coleman-Weinberg mechanism in a three-dimensional supersymmetric Chern-Simons-matter model

TL;DR

This paper investigates the dynamical gauge symmetry breaking in a three-dimensional supersymmetric Chern-Simons model using superfield formalism, revealing mass generation at two-loop level and limitations in N=2 extensions.

Contribution

It demonstrates the occurrence of dynamical mass generation via the Coleman-Weinberg mechanism in a 3D supersymmetric model and discusses the incompatibility of this mechanism with N=2 supersymmetry.

Findings

Masses for gauge and matter superfields are generated at two-loop level.

The Coleman-Weinberg mechanism is not feasible in N=2 supersymmetric extension.

The model is an analogue of the conformally invariant four-dimensional theory.

Abstract

Using the superfield formalism, we study the dynamical breaking of gauge symmetry in the N=1 three-dimensional supersymmetric Chern-Simons model, coupled to a complex scalar superfield with a quartic self-coupling. This is an analogue of the conformally invariant Coleman-Weinberg model in four spacetime dimensions. We show that a mass for the gauge and matter superfields are dynamically generated after two-loop corrections to the effective superpotential. We also discuss the N=2 extension of our work, showing that the Coleman-Weinberg mechanism in such model is not feasible, because it is incompatible with perturbation theory.