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arXiv · 1004.0982

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

A. F. Ferrari·E. A. Gallegos·M. Gomes·A. C. Lehum·J. R. Nascimento·A. Yu. Petrov·A. J. da Silva
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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.

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A. F. Ferrari, E. A. Gallegos, M. Gomes, A. C. Lehum, J. R. Nascimento, A. Yu. Petrov, A. J. da Silva. 2010-07-05. Coleman-Weinberg mechanism in a three-dimensional supersymmetric Chern-Simons-matter model. https://doi.org/10.1103/physrevd.82.025002

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