2008/04/28 by Adi Armoni, Biagio Lucini, Agostino Patella +1 · 21 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Computer science #Equivalence (formal languages) #Lattice (music) #Materials science #Mathematics #Operating system #Particle physics #Particle physics theoretical and experimental studies #Physics #Planar #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quark #hep-lat #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.78.045019
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 78(4) (American Physical Society) · 26 pages, 7 figures
arxiv created 2008/04/28 · openalex publication_date 2008/08/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study quenched SU(N) gauge theories with fermions in the two-index symmetric, antisymmetric and the adjoint representations. Our main motivation is to check whether at large number of colors those theories become nonperturbatively equivalent. We prove the equivalence assuming that the charge-conjugation symmetry is not broken in pure Yang-Mills theory. We then carry out a quenched lattice simulation of the quark condensate in the symmetric, antisymmetric and the adjoint representations for SU(2), SU(3), SU(4), SU(6), and SU(8). We show that the data support the equivalence and discuss the size of subleading corrections.