Uniform Log-Sobolev Inequality and Mass Gap for Lattice Yang-Mills Theory: A Conditional Reduction
Earlier deposit preserved without the current AIRR screening. Not peer reviewed. Screening record
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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Cite this paper
Lluis Eriksson (2026). Uniform Log-Sobolev Inequality and Mass Gap for Lattice Yang-Mills Theory: A Conditional Reduction. AIRR.SCIENCE, ARR-2026-3TG8KQ8WTF9M4SP7, v1. https://airr.science/papers/ARR-2026-3TG8KQ8WTF9M4SP7/versions/v1/ Archived manuscript; ARR-2026-3TG8KQ8WTF9M4SP7 v1. Not peer reviewed by AIRR. Historical import; not assessed by AIRR.
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- Reproducibility
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- Lean 4
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