1998/10/02 by André de Gouvêa, Andre de Gouvea, Alexander Friedland +1 · 11 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Discrete mathematics #Duality (order theory) #Equivalence (formal languages) #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Theoretical physics #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.59.105008
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 59(10) (American Physical Society) · 24 pages, 2 figures, uses psfig
arxiv created 1998/10/02 · openalex publication_date 1999/04/13 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Seiberg duality in supersymmetric gauge theories is the claim that two different theories describe the same physics in the infrared limit. However, one cannot easily work out physical quantities in strongly coupled theories and hence it has been difficult to compare the physics of the electric and magnetic theories. In order to gain more insight into the equivalence of two theories, we study the ``e+e^\ensuremath-'' cross sections into ``hadrons'' for both theories in the superconformal window. We describe a technique which allows us to compute the cross sections exactly in the infrared limit. They are indeed equal in the low-energy limit and the equality is guaranteed because of the anomaly matching condition. The ultraviolet behavior of the total ``e+e^\ensuremath-'' cross section is different for the two theories. We comment on proposed non-supersymmetric dualities. We also analyze the agreement of the ``\ensuremathγ\ensuremathγ'' and ``WW'' scattering amplitudes in both theories, and in particular try to understand if their equivalence can be explained by the anomaly matching condition.