Applying the Cho–Duam–Ge decomposition to supersymmetric QCD

Abstract

We study the chromomonopole component of the gluon, as identified by the Cho–Duam–Ge decomposition, in supersymmetric quantum chromodynamics. It is found to be incapable of representing the supersymmetry algebra, leading to supersymmetry breaking. Furthermore, its field strength squared is invariant under the supersymmetry generators. This makes it immune to the positive-definite energy theorem. The energetic favourability of such a condensate is expected in the case of asymptotic freedom. We identify one component of the gluino as the Goldstone fermion.