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

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arxiv 1502.07719 v7 pith:E63HASTQ submitted 2015-02-26 math.PR hep-lathep-thmath-phmath.MP

classification math.PRhep-lathep-thmath-phmath.MP
keywords gaugelatticetheorycoupledlargelimitrigorousstrongly
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

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

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Surface sums in two-dimensional large-$N$ lattice Yang--Mills: Cancellations and explicit computations for general loops

    math.PR 2025-08 unverdicted novelty 6.0 of 10

    A peeling algorithm exposes cancellations in 2D large-N lattice Yang-Mills surface sums, yielding new explicit Wilson loop formulas and spectral measure convergence.

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