This repository contains a research manuscript on the Yang–Mills theory with gauge group SU(3) in four-dimensional Euclidean space.
The document develops a rigorous RP/OS/KP framework and establishes:
- Existence of a mass gap with explicit constructive bounds.
- Restoration of full O(4) symmetry in the continuum limit.
- Commutativity of limits (lattice spacing → 0, volume → ∞).
- Uniqueness of the vacuum state.
- Non-Gaussianity of the limiting measure.
The approach avoids weak coupling assumptions and relies instead on an
RP-compatible odd channel, polymer expansions, and constructive estimates.
All constants are uniform in volume, and the analysis is performed at a
fixed physical scale inside the KP window.
Additional materials and computational tools will be added in future updates.
This is the primary research text in the repository.
At this stage the repository contains only the main research document.
Supplementary materials, computational tools, and scripts are planned
and will be added later.
This work is licensed under a
Creative Commons Attribution 4.0 International License.