1995/05/14 by Hitoshi Murayama · 71 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Computer science #Cosmology and Gravitation Theories #Field (mathematics) #Gauge (firearms) #Gauge theory #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Space (punctuation) #Supersymmetry #Supersymmetry breaking #Theoretical physics #Vector field #hep-ph #hep-th
paper · pdf · doi:10.1016/0370-2693(95)00744-6
published in Physics Letters B 355(1-2), 187-192 (Elsevier BV) · 11 pages, LaTeX, requires Psfig1.9, 1 figure in a uuencoded tar-compressed EPS file
arxiv created 1995/05/14 · openalex publication_date 1995/07/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.