Abstract :
There are supersymmetric gauge theories which do not possess any parameters nor flat directions, and hence they cannot be studied anywhere in the field space using holomorphy (“non-calculable”). Some of them are believed to break supersymmetry dynamically. We propose a simple technique to analyze these models. Introducing a vector-like field into the model, one finds flat directions where one can study the dynamics. We unambiguously show that the supersymmetry is broken when the mass of the vector-like field is small but finite, and hence the Witten index vanishes. If we increase the mass of the vector-like field, it eventually decouples from the dynamics and the models reduce to the original non-calculable models. Assuming continuity of the Witten index in the parameter space, one can establish dynamical supersymmetry breaking in the non-calculable models.
