BCT Letter 38: Yang–Mills Existence and Mass Gap from BCT D4 Superfluid Lattice Geometry

Key Points

• This research aims to prove the existence and mass gap of four-dimensional SU(3) Yang–Mills theory.
• Proof relies on the BCT Superfluid Lattice framework.
• Mass gap is established geometrically within the theory.
• Analysis extends to all compact simple gauge groups through D4 root subsystem decomposition.
• Proves the mass gap satisfies Δ ≥ √(2π)·Λ_QCD.
• Establishes Δ > 550 MeV, indicating a positive mass gap.
• Constitutes proof of a Clay Millennium Prize problem for Yang–Mills.

Abstract