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Rigorous solution of strongly coupled SO(N) lattice gauge theory in\n the large N limit

2015/02/26 by Sourav Chatterjee, Chatterjee, Sourav · 10 citations
Mathematics · Physics and Astronomy · #70S15 #81T13 #81T25 #82B20 #Algorithm #Black Holes and Theoretical Physics #Computation #Duality (order theory) #FOS: Mathematics #FOS: Physical sciences #Gauge boson #Gauge fixing #Gauge theory #Generality #Hamiltonian lattice gauge theory #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #Lattice (music) #Lattice field theory #Lattice gauge theory #Limit (mathematics) #Mathematical Physics (math-ph) #Mathematical analysis #Mathematical physics #Mathematics #Physics #Probability (math.PR) #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum gauge theory #Stochastic processes and statistical mechanics #Theoretical physics #hep-lat #hep-th #math-ph #math.MP #math.PR #msc:70S15 #msc:81T13 #msc:81T25 #msc:82B20

paper · pdf · doi:10.48550/arxiv.1502.07719

published in arXiv (Cornell University) (Cornell University) · 61 pages. Minor revisions. To appear in Comm. Math. Phys

openalex publication_date 2015/02/26 · arxiv created 2017/12/14 · arxiv updated 2017/12/15 · openalex created_date 2022/10/04 · openalex updated_date 2026/08/05

Abstract

The main result of this paper is a rigorous computation of Wilson loop\nexpectations in strongly coupled SO(N) lattice gauge theory in the large N\nlimit, in any dimension. The formula appears as an absolutely convergent sum\nover trajectories in a kind of string theory on the lattice, demonstrating an\nexplicit gauge-string duality. The generality of the proof technique may allow\nit to be extended other gauge groups.\n

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