Unified Geometric Resolution of Yang-Mills Millennium Problem: Mass Gap, Color Confinement, Gribov Ambiguity and IR Fixed Point

Key Points

• The study aims to construct a rigorous algebraic framework addressing key open problems in Yang-Mills theory.
• Developed a closed-form algebraic framework using the spectral boundary of the Riemann Zeta operator.
• Analyzed four core issues: mass gap, color confinement, Gribov ambiguity, and IR Landau pole elimination.
• Utilized analytic techniques to provide rigorous proofs and verifications.
• Established a positive mass gap in Yang-Mills theory.
• Verified color confinement analytically.
• Resolved Gribov ambiguity completely.