Yang–Mills existence and mass gap
Does quantum Yang–Mills theory exist with a positive mass gap?
Summary
Asks for a mathematically rigorous quantum Yang–Mills theory in four dimensions, with a proof that its lightest particle has positive mass.
Source
Open, as listed by Clay Mathematics Institute · Millennium Prize Problems. Checked 29 Sep 2026.
The status is the source’s. Papex does not decide whether a problem is solved.
Prize
Clay Mathematics Institute · $1,000,000
Records on this problem
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