A peeling algorithm exposes cancellations in 2D large-N lattice Yang-Mills surface sums, yielding new explicit Wilson loop formulas and spectral measure convergence.
A ridiculously simple and explicit implicit function theorem
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abstract
I show that the general implicit-function problem (or parametrized fixed-point problem) in one complex variable has an explicit series solution given by a trivial generalization of the Lagrange inversion formula. I give versions of this formula for both analytic functions and formal power series.
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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.