The Yang-Mills Working Group, led by Nobel laureate David J. Gross, announced plans to release OpenAI's formal proof regarding quantum Yang-Mills theory. The group scheduled the publication of the Lean code and its validation assessment for November 10, 2026, across two GitHub repositories.
OpenAI developed the natural-language existence proof by September 9, 2026, and completed the Lean formalization by October 16, 2026. On that same date, the company contacted David J. Gross to convene an independent committee for a rigorous review of the work.
The committee focused on ensuring that the proof's definitions and problem statements align with established standards in physics and mathematics. The work utilizes foundational tools such as Wilson lattice regularization and Balaban’s renormalization-group methods.
The proof addresses the existence of quantum Yang-Mills theory, which is a Clay Mathematics Institute Millennium Prize problem. However, the committee noted that the challenges of mass gap and confinement remain unresolved.
