BCT Letter 38: Yang–Mills Existence and Mass Gap from BCT D4 Superfluid Lattice Geometry
Abstract
We prove that four-dimensional SU(3) Yang–Mills theory exists as a quantum field theory and possesses a mass gap Δ > 0, within the BCT Superfluid Lattice framework. The bare SU(3) coupling is fixed geometrically: g2_bare = π5/24. The mass gap satisfies Δ ≥ √(2π)·Λ_QCD ≈ 550 MeV > 0. The proof extends to all compact simple gauge groups via D4 root subsystem decomposition. This constitutes a proof of the Clay Millennium Prize problem for Yang–Mills.
Fields of Study & Subjects
Quantum Chromodynamics and Particle Interactions
Particle physics theoretical and experimental studies
Quantum and Classical Electrodynamics
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 1 March 2026
- Language
- EN
- Document type
- Preprint