TL;DR
This paper introduces a new mechanism for dynamical supersymmetry breaking in N=1 U(N) SUSY gauge theories, driven by D-term effects and stabilized through a Hartree-Fock approximation, leading to metastable vacua with both D- and F-term contributions.
Contribution
It proposes a novel metastable SUSY breaking mechanism triggered by D-terms, analyzed via a self-consistent Hartree-Fock approach, and confirms local stability numerically.
Findings
D-term driven SUSY breaking in metastable vacua
Self-consistent Hartree-Fock approximation effectively models the mechanism
Numerical stability analysis supports the viability of the metastable state
Abstract
We present the mechanism of the dynamical supersymmetry (SUSY) breaking at the metastable vacuum in the N=1 U(N) SUSY gauge theory with adjoint superfields. The dynamical SUSY breaking is triggered by the non-vanishing D-term coupled to the observable sector, and is realized by the self-consistent Hartree-Fock approximation of the NJL type while it eventually brings us the non-vanishing F-term as well. We numerically check the local stability of our metastable vacuum.
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