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

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

2010-04-06

arxiv.org/abs/1004.0982v2

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 2 figures. Minor corrections, references added. Journal version

Scientific paper

10.1103/PhysRevD.82.025002

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.

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