Problem · problem

Yang–Mills existence and mass gap

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

Wikipedia: Yang–Mills existence and mass gap

The Standard Model's loose ends · Physics

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