Yang-Mills Existence and Mass Gap
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Unsolved Problem
To establish rigorously:
- the Yang-Mills quantum theory
- the mass of the least massive particle of the force field is strictly positive
- (that is, the mass of each type of elementary particle is bounded below by a strictly positive value).
Progress
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Source of Name
This entry was named for Yang Chen-Ning and Robert Laurence Mills.
Sources
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Millennium Prize problems
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): Millennium Prize problems
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): Appendix $18$: Millennium Prize problems: $4$.