Two-loop effective potential for the Wess-Zumino model in 2+1 dimensions

Abstract

By using superfield techniques, the effective potential of the $\mathcal{N}=1$ Wess-Zumino model in 2+1 dimensions is computed off-shell up to two loops. It is shown that supersymmetry is not dynamically broken, and that dynamical generation of mass does not occur perturbatively. We also investigate the renormalization of the effective potential and determine the renormalization group gamma and beta functions, showing that this model is infrared free. Comparison with some other results in the literature is provided.

20 pages, 1 figure, substantial changes to text, final version published in Phys. Rev. D

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Cited by in corpus (8)

• On the effective superpotential in the supersymmetric Chern-Simons theory with matter
• On the effective superpotential in the generic higher-derivative superfield supersymmetric three-dimensional gauge theory
• Higher-Derivative Wess-Zumino Model in Three Dimensions
• Renormalization Group Improvement of the Superpotential for the N=2 Chern-Simons-matter model
• $\mathcal{N}=1$ $\mathcal{D}=3$ Lifshitz-Wess-Zumino model: A paradigm of reconciliation between Lifshitz-like operators and supersymmetry
• The DeWitt Equation in Quantum Field Theory
• Large N limit of supersymmetric Chern-Simons-matter model: breakdown of superconformal symmetry
• On-shell supersymmetry breaking in the Abelian Chern-Simons-matter model in three dimensions of spacetime