Studying Non-calculable Models of Dynamical Supersymmetry Breaking

Details Studying Non-calculable Models of Dynamical Supersymmetry Breaking Studying Non-calculable Models of Dynamical Supersymmetry Breaking

1995-05-14

arxiv.org/abs/hep-th/9505082v1

Phys.Lett.B355:187-192,1995

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, LaTeX, requires Psfig1.9, 1 figure in a uuencoded tar-compressed EPS file

Scientific paper

10.1016/0370-2693(95)00744-6

There are supersymmetric gauge theories which do not possess any parameters nor flat directions, and hence 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 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 the continuity of the Witten index in the parameter space, one can establish the dynamical supersymmetry breaking in the non-calculable models.

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