A peeling algorithm exposes cancellations in 2D large-N lattice Yang-Mills surface sums, yielding new explicit Wilson loop formulas and spectral measure convergence.
Rigorous solution of strongly coupled $SO(N)$ lattice gauge theory in the large $N$ limit
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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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Surface sums in two-dimensional large-$N$ lattice Yang--Mills: Cancellations and explicit computations for general loops
A peeling algorithm exposes cancellations in 2D large-N lattice Yang-Mills surface sums, yielding new explicit Wilson loop formulas and spectral measure convergence.