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Makeenko-Migdal equations for 2D Yang-Mills: from lattice to continuum
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abstract
In this paper, we prove the convergence of the discrete Makeenko-Migdal equations for the Yang-Mills model on $(\varepsilon \mathbf{Z})^{2}$ to their continuum counterparts on the plane, in an appropriate sense. The key step in the proof is identifying the limits of the contributions from deformations as the area derivatives of the Wilson loop expectations.
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Cited by 1 Pith paper
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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.
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