TL;DR
This paper demonstrates that in a specific supersymmetric gauge theory, supersymmetry can be spontaneously broken through a self-consistent approximation, resulting in a mixed gaugino mass term due to nonzero D-term and F-term VEVs.
Contribution
It introduces a novel self-consistent Hartree-Fock approach to analyze dynamical SUSY breaking in N=1 supersymmetric gauge theories.
Findings
Supersymmetry is spontaneously broken in the model.
A mixed Majorana-Dirac gaugino mass term is generated.
The breaking is driven by nonvanishing D-term and F-term VEVs.
Abstract
We consider an N=1 supersymmetric U(N) gauge theory with an adjoint chiral multiplet. By developing a self-consistent Hartree-Fock approximation to the leading order which is reminiscent of that of the BCS/NJL in the superconductivity/chiral symmetry, we show that the N=1 supersymmetry is spontaneously broken, giving a mixed Majorana-Dirac mass term for gaugino due to the nonvanishing D-term VEV and F-term one induced by D-term.
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