The 2D Yang–Mills measure on the unit square admits a Coulomb-gauge representative in every Ω^1_β, β<1 — Gaussian-free-field regularity — with L^p moments growing like p^{(2+β)/2+δ}.
Wilson lines in the abelian lattice
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A PDE approach to the 2D Yang-Mills measure
The 2D Yang–Mills measure on the unit square admits a Coulomb-gauge representative in every Ω^1_β, β<1 — Gaussian-free-field regularity — with L^p moments growing like p^{(2+β)/2+δ}.