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

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.

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

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Cited by in corpus (18)

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• On the effective superpotential in the supersymmetric Chern-Simons theory with matter
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• Kählerian Effective Potentials for Chern-Simons-Matter Theories
• Supergraph techniques for D=3,N=1 broken supersymmetric theories
• On the effective superpotential in the generic higher-derivative superfield supersymmetric three-dimensional gauge theory
• Two-loop effective potential for the Wess-Zumino model in 2+1 dimensions
• Dynamical (super)symmetry vacuum properties of the supersymmetric Chern-Simons-matter model
• D=(2+1) O(N) Wess-Zumino model in a large N limit
• Renormalization Group Improvement of the Superpotential for the N=2 Chern-Simons-matter model
• Noncommutative supersymmetric Chern-Simons-matter model
• Derivative expansion and the induced Chern-Simons term in N=1, d=3 superspace
• Dynamical generation of mass in the noncommutative supersymmetric Schwinger model
• Nielsen Identity and the Renormalization Group Functions in an Abelian Supersymmetric Chern-Simons Model in the Superfield Formalism
• On-shell supersymmetry breaking in the Abelian Chern-Simons-matter model in three dimensions of spacetime
• Large N limit of supersymmetric Chern-Simons-matter model: breakdown of superconformal symmetry
• Noncommutative $\mathcal{N}=2$ Chern-Simons-matter model
• Renormalization Group Improvement and Dynamical Breaking of Symmetry in a Supersymmetric Chern-Simons-matter Model