Proves infinite-volume large-N limits, factorization, and 1/N expansion for Wilson loops in heat-kernel Yang-Mills on Z^d, plus area-law bound for the master field.
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Proves that SO(3) lattice Yang-Mills theory fails Wilson's confinement criterion at strong coupling.
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The heat-kernel master field on $\mathbb{Z}^d$ at strong coupling
Proves infinite-volume large-N limits, factorization, and 1/N expansion for Wilson loops in heat-kernel Yang-Mills on Z^d, plus area-law bound for the master field.
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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.