Numerical study of the Dyson-Schwinger equations for the Wess-Zumino model

Supersymmetric models, in most cases, suffer from the lack of non-perturbative techniques. Recently, an approach based on Dyson-Schwinger equations has been proposed for the massless Wess-Zumino model. In this case, the equations for the self-energies of the fields were solved with the strong ansatz to take them all equal. We show, by numerically solving the equations, that this is a too strong choice as also solutions with all different self-energies are acceptable and more generic. This could have interesting implications for supersymmetry breaking.