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Pinched Multi Affine Geometry and Confinement: Describing the Yang-Mills Mass Gap
We give physical gap certificates for regulated Yang-Mills Hamiltonians and conditional continuum-transfer criteria. At fixed spatial cutoff, the physical $SU(3)$ Hamiltonian has a volume-independent gap of at least $8a/3$ for magnetic/electric ratio $b/a\le1/648$, with a thermodynamic ground state
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