Under a few mild assumptions, N=1 supersymmetry in four dimensions is shown
to be spontaneously broken in a self-consistent Hartree-Fock approximation of
BCS/NJL type to one-loop off-shell, in the gauge theory specified by the gauge
kinetic function and the superpotential of adjoint chiral superfields, in
particular, that possesses N=2 extended supersymmetry spontaneously broken to
N=1 at tree level. The N=2 gauginos receive mixed Majorana-Dirac masses and are
split. We derive an explicit form of the gap equation, showing the existence of
a nontrivial solution.Comment: 4 pages, the paper extended (a numerical plot of the solution to the
gap equation, an estimate of the decay rate of the metastable vacuum, and
discussion on nonvanishing term induced by the D term dynamical
supersymmetry breaking diven), references adde
