A Haar-moment influence bound for SU(3) lattice gauge theory

This preprint presents a Haar-moment bound on single-neighbour influence for the three-dimensional conditional layers of four-dimensional SU(3) Wilson lattice gauge theory. For Wilson coupling 0 < β ≤ 0.4, second and fourth Haar moments yield an explicit rational certificate placing the Dobrushin row sum below 15/16. A coupling comparison establishes exponential decay of matrix-entry covariances, uniformly in volume and SU(3) boundary fields. A rectangular Wilson-loop area bound follows by invoking an external layer-to-area-law theorem. The deposit includes the English manuscript and a supplementary archive containing standalone Python code for checking the arithmetic certificate and selected Haar-moment contractions. These computational checks do not constitute verification of the entire proof. No simulation data are used. The result concerns a restricted lattice strong-coupling regime. No continuum-limit result, solution of the Yang–Mills mass-gap problem, or physical validation of Theta theory is claimed. Version 0.2. Not independently peer reviewed. AI assistance in argument development, drafting and checking is disclosed in the manuscript. Text and documentation: CC BY-NC 4.0. Code: separate noncommercial terms specified in LICENSES.md. Commercial-use permission requests: [email protected].