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Yang-Mills Working Group validates OpenAI's Lean construction of pure Yang-Mills theory

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The Yang-Mills Working Group has posted a validation of OpenAI's Lean submission of October 28, 2026, which formalizes a continuum pure Yang-Mills theory.

According to the group, the construction satisfies the Wightman axioms as a scaling limit of four-dimensional Wilson lattice gauge theory. The group says the work does not prove that the infinite-volume limit is unique, and it does not prove that a mass gap exists. The assessment is published in the yang-mills-group/YM repository. The group states it has no present connection to the Clay Mathematics Institute.

Written by AI from the articles below · updated Nov 10, 11:30 PM ET

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Latest developmentNov 10, 11:01 PM ET
Yang-Mills Working Group posts validation of OpenAI's Yang-Mills construction

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Nov 10
  1. Andrew CurranXPick
    Yang-Mills Working Group posts validation of OpenAI's Yang-Mills construction

    AIThe Yang-Mills Working Group has posted a validation of OpenAI's Lean submission of October 28, 2026, which formalizes the continuum pure Yang-Mills theory. The group says the construction satisfies the Wightman axioms as a scaling limit of four-dimensional Wilson lattice gauge theory, but does not prove the infinite-volume limit is unique or that there is a mass gap. The assessment is available in the yang-mills-group/YM repository, and the group says it has no present connection to the Clay Mathematics Institute.

    Image from @AndrewCurran_'s post

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