Research paperHistorical importARR-2026-3TG8KQ8WTF9M4SP7 · v1 · 2026-02-09

Uniform Log-Sobolev Inequality and Mass Gap for Lattice Yang-Mills Theory: A Conditional Reduction

Lluis Eriksson

Abstract

This replacement corrects the title and foregrounds the logical status already partly recorded in public version 3. The uniform log-Sobolev conclusion requires the cross-scale derivative hypothesis (H-XSD), whose purported companion-paper discharge is not re-verified here. The mass-gap conclusion additionally requires the Dobrushin-type hypothesis (H-DOB), or an independently valid alternative DLR-LSI/mixing route. Neither input is proved by this manuscript alone. No unconditional weak-coupling lattice mass gap, continuum construction, Osterwalder-Schrader reconstruction, or Clay-problem result is claimed. The preserved version 3 follows the correction page for provenance.

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