2002/08/09 by A. Gorsky, M. Shifman, Mikhail Shifman · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.67.022003
published as Phys.Rev. D67 (2003) 022003 · Latex, 13 pages, 1 eps figure
arxiv created 2002/08/09 · openalex publication_date 2003/01/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We discuss Strassler's hypothesis of matching nonperturbative effects in orbifold pairs of gauge theories which are perturbatively planar equivalent. One of the examples considered is the parent N=1SU(N) supersymmetric Yang-Mills theory and its nonsupersymmetric orbifold daughter. We apply two strategies allowing us to study nonperturbative effects: (i) low-energy theorems and (ii) putting the theory on small-size T4 or R3\ifmmode×\else\texttimes\fiS1. Then both the parent and daughter theories are weakly coupled and amenable to quasiclassical treatment. In all cases our consideration yields a mismatch between the parent and daughter theories. Thus, regretfully, we present evidence against Strassler's hypothesis. We discuss in passing a brane picture related to our consideration.