English

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

High Energy Physics - Theory 2014-11-20 v2

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.

Keywords

Cite

@article{arxiv.1004.0982,
  title  = {Coleman-Weinberg mechanism in a three-dimensional supersymmetric Chern-Simons-matter model},
  author = {A. F. Ferrari and E. A. Gallegos and M. Gomes and A. C. Lehum and J. R. Nascimento and A. Yu. Petrov and A. J. da Silva},
  journal= {arXiv preprint arXiv:1004.0982},
  year   = {2014}
}

Comments

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