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Testing volume independence of SU(N) pure gauge theories at large N

2014/10/23 by Antonio González-Arroyo, Antonio Gonzalez-Arroyo, M. Okawa +1 · 35 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boundary (topology) #Gauge (firearms) #Gauge theory #Independence (probability theory) #Lattice (music) #Lattice gauge theory #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Statistical physics #Statistics #Theoretical physics #hep-lat #hep-th

paper · pdf · doi:10.1007/jhep12(2014)106

published in Journal of High Energy Physics 2014(12) (Springer Nature) · 33 pages, latex, 10 figures

arxiv created 2014/10/23 · openalex publication_date 2014/12/01 · arxiv updated 2015/06/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In this paper we present our results concerning the dependence of Wilson loop expectation values on the size of the lattice and the rank of the SU(N) gauge group. This allows to test the claims about volume independence in the large N limit, and the crucial dependence on boundary conditions. Our highly precise results provide strong support for the validity of the twisted reduction mechanism and the TEK model, provided the fluxes are chosen within the appropriate domain.

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