Non-perturbative aspects in supersymmetric gauge theories |
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Affiliation: | 1. Dipartimento di Fisica, Università di Genova and INFN, Sezione di Genova, Genoa, Italy;2. Dipartimento di Fisica, Università di Pisa, Pisa, Italy;1. Institute for Theoretical Physics, Karlsruhe Institute of Technology (KIT), 76128 Karlsruhe, Germany;2. Theory Division, IFIC, University of Valencia-CSIC, E-46980 Paterna, Valencia, Spain;3. Max Planck Institute for Physics, Föhringer Ring 6, D-80805 München, Germany;4. Humboldt-Universität zu Berlin, Institut für Physik, Newtonstraße 15, D-12489 Berlin, Germany;1. Department of Physics, Shanghai University, Baoshan, Shanghai 200444, China;2. Department of Physics, University of Virginia, Charlottesville, VA 22904, USA;1. RIISE, Hiroshima university, Higashi-Hiroshima 739-8521, Japan;2. KEK, Tsukuba 305-0801, Japan |
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Abstract: | We review our present understanding of those non-perturbative features of supersymmetric gauge theories that are believed to determine the properties of their ground states (vacua). A wide variety of theories is discussed in detail: pure Yang-Mills, theories with massive or massless real matter fields, theories with chiral matter, both for SU(N) and for the case of a general compact gauge group (as for instance E8). Depending on some general features of the theory under consideration, various (perhaps) unexpected phenomena are shown to occur. Among these the breakdown of the (perturbatively established) non-renormalization theorem, the occurrence of runaway vacua in certain limits, the spontaneous dynamical breaking of supersymmetry itself in some chiral theories. Throughout the report we restrict ourselves to the confining picture instanton method, occasionally complementing it with the information coming from chiral and supersymmetric Ward-Takahashi identities. We compare our results with the ones suggested earlier by effective Lagrangian methods and, only briefly, with those obtained by other groups in the Higgs picture. |
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