Abstract
We study dynamical supersymmetry breaking in supersymmetric QCD theories for $N_f<N_c$. We consider a model with a singlet chiral superfield coupled to the infrared meson chiral superfield through a classical superpotential. We examine the vacuum structure of this model and show that in a particular limit of the parameter space with the large $N_c$ limit, it has a vacuum that dynamically breaks supersymmetry. The supersymmetric vacuum, in this limit, is being pushed to infinity.
Highlights
Supersymmetric quantum field theories have provided us with some useful toy models in which one can track the strong coupling dynamics of phenomena like quark confinement, chiral symmetry breaking, and the mass gap
The minimal supersymmetric standard model (MSSM) can address the hierarchy problem, improve the flow of the running coupling constants, and provide particle candidates for dark matter, it is not yet quite clear how to consistently handle the problem of supersymmetry breaking in this model
A hierarchy of energy scales can be naturally achieved through dynamical supersymmetry breaking
Summary
Supersymmetric quantum field theories have provided us with some useful toy models in which one can track the strong coupling dynamics of phenomena like quark confinement, chiral symmetry breaking, and the mass gap. They are promising candidates to replace the standard model of particle physics. The idea of having a long-lived metastable vacuum instead of a nonsupersymmetric absolute minimum opened a new avenue in constructing phenomenologically viable models of dynamical supersymmetry breaking [6,7]. In the Appendix, we derive the details of the computations of the successive derivatives of the Kähler potential
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