Yang-Mills Existence and Mass Gap

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


Work In Progress
You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by completing it.
To discuss this page in more detail, feel free to use the talk page.
When this work has been completed, you may remove this instance of {{WIP}} from the code.



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: $4$.
  • 2021: Richard Earl and James Nicholson: The Concise Oxford Dictionary of Mathematics (6th ed.) ... (previous) ... (next): Appendix $23$: Millennium Prize problems: $4$.
This article is issued from ProofWiki. The text is available under Creative Commons Attribution-ShareAlike License unless otherwise noted. Additional terms may apply for the media files.