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On the large N limit of SU(N) lattice gauge theories in five dimensions

2012/05/31 by Nikos Irges, George Koutsoumbas
Physics and Astronomy · #Black Holes and Theoretical Physics #Gauge theory #Hamiltonian lattice gauge theory #High-Energy Particle Collisions Research #Lattice (music) #Lattice field theory #Lattice gauge theory #Limit (mathematics) #Observable #Quantum Chromodynamics and Particle Interactions #Scalar (mathematics) #Wilson loop #hep-lat #hep-th

paper · pdf · doi:10.1007/jhep08(2012)103

Discussion added

openalex publication_date 2012/08/01 · arxiv created 2012/08/31 · arxiv updated 2015/06/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We develop the necessary tools for computing fluctuations around a mean-field background in the context of SU(N) lattice gauge theories in five dimensions. In particular, expressions for the scalar observable and the Wilson Loop are given. As an application, using these observables we compute a certain quantity k5 that can be viewed as Coulomb's constant in five dimensions. We show that this quantity becomes independent of N in the large N limit. Furthermore, the numerical value of k5 we find for SU(infinity) deviates by 17% from its value predicted by holography.

Citations