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A PDE approach to the 2D Yang-Mills measure

math.AP · 2026-07-24 · conditional · novelty 8.0

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}.

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  • A PDE approach to the 2D Yang-Mills measure math.AP · 2026-07-24 · conditional · none · ref 34

    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}.