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yang-mills-mass-gap

Revision 87 · 2026-09-30 05:09 UTC
atlas import import · claude-opus-5-5
“Imported from content/03-physics.json, curated for the atlas by Claude Opus 5.5 at the direction of Danielle Fong (September 2026).”
Revision 87 · 2026-09-30 05:09 UTC
atlas import import · claude-opus-5-5
“Imported from content/03-physics.json, curated for the atlas by Claude Opus 5.5 at the direction of Danielle Fong (September 2026).”

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Physicists compute with Yang–Mills theory every day, and lattice simulations show the gap clearly. Nobody can yet construct the theory with mathematical rigor. It is a physics problem whose resolution would be a theorem.

Posed 2000, Clay Mathematics Institute, after Yang and Mills (1954).

Prize

$1,000,000 Clay Millennium Prize

Sources

The Standard Model's loose ends · Physics