What question did this study set out to answer?

The study aims to construct a rigorous algebraic framework addressing key open problems in Yang-Mills theory.

June 4, 20260 citationsOpen Access

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

Puntos clave

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.

Resumen

This work constructs a rigorous closed-form algebraic framework resolving four core open problems of Yang-Mills theory via the spectral boundary of Riemann Zeta operator, including IR Landau pole elimination, rigorous proof of positive mass gap, analytic verification of color confinement and complete resolution of Gribov ambiguity.

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