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Yang–Mills existence and mass gap
Construct four-dimensional quantum Yang–Mills theory for every compact simple gauge group and prove that it has a positive mass gap.
| 1 | { |
| 2 | "domain": "physics-astronomy", |
| 3 | "topics": [ |
| 4 | "mathematical-physics" |
| 5 | ], |
| 6 | "type": "proof", |
| 7 | "source": { |
| 8 | "key": "clay", |
| 9 | "name": "Clay Millennium Prize Problems", |
| 10 | "url": "https://www.claymath.org/millennium/yang-mills-the-maths-gap/", |
| 11 | "curator": "Clay Mathematics Institute", |
| 12 | "poser": "Clay Mathematics Institute, with the problem description by Arthur Jaffe and Edward Witten", |
| 13 | "status": "unsolved", |
| 14 | "as_of": "2026-10-20", |
| 15 | "prize": "$1,000,000", |
| 16 | "catalog": "0521c19bbd38" |
| 17 | } |
| 18 | } |