Supergraph techniques for D=3,N=1 broken supersymmetric theories

Abstract

We enlarge the usual D=3 N=1 supergraph techniques to include the case of (explicitly or spontaneously) broken supersymmetric gauge theories. To illustrate the utility of these techniques, we calculate the two-loop effective potential of the SQED3 by using the tadpole and the vacuum bubble methods. In these methods, to investigate the possibility of supersymmetry breaking, the superfields must be shifted by $\theta$ dependent classical superfields (vacuum expectation values), what implies in the explicit breakdown of supersymmetry in the intermediate steps of the calculation. Nevertheless, after studying the minimum of the resulting effective potential, we find that supersymmetry is conserved, while gauge symmetry is dynamically broken, with a mass generated for the gauge superfield.

revtex4, 14 pages, 2 figures, Journal version

References in corpus (3)

• Supersymmetry and Its Dynamical Breaking
• Perturbative finiteness of the three-dimensional Susy QED to all orders
• Dynamical breaking of gauge symmetry in supersymmetric quantum electrodynamics in three-dimensional spacetime

Cited by in corpus (9)

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• Dynamical (super)symmetry vacuum properties of the supersymmetric Chern-Simons-matter model
• Higher-Derivative Wess-Zumino Model in Three Dimensions
• Nielsen Identity and the Renormalization Group Functions in an Abelian Supersymmetric Chern-Simons Model in the Superfield Formalism
• Large N limit of supersymmetric Chern-Simons-matter model: breakdown of superconformal symmetry
• Soft supersymmetry breaking in the nonlinear sigma model
• On-shell supersymmetry breaking in the Abelian Chern-Simons-matter model in three dimensions of spacetime
• Renormalization Group Improvement and Dynamical Breaking of Symmetry in a Supersymmetric Chern-Simons-matter Model