Proves that SO(3) lattice Yang-Mills theory fails Wilson's confinement criterion at strong coupling.
Jucys-Murphy elements and Weingarten matrices
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abstract
We provide a compact proof of the recent formula of Collins and Matsumoto for the Weingarten matrix of the orthogonal group using Jucys-Murphy elements.
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math.PR 1years
2026 1verdicts
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Deconfinement For $\mathrm{SO}(3)$ Lattice Yang-Mills at Strong Coupling
Proves that SO(3) lattice Yang-Mills theory fails Wilson's confinement criterion at strong coupling.