Difference between revisions
yang-mills-mass-gap
Status and infobox
- status:
—→ open - kind:
—→ problem - year:
—→ 2000 - statement:
—→ Prove that quantum Yang–Mills theory exists rigorously in four dimensions and has a positive mass gap.
Source +22 −0
+---
+title: Yang–Mills existence and mass gap
+kind: problem
+status: open
+year: 2000
+authors: Clay Mathematics Institute, after Yang and Mills (1954)
+statement: Prove that quantum Yang–Mills theory exists rigorously in four dimensions and has a positive mass gap.
+space: standard-model
+---
+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](https://en.wikipedia.org/wiki/Yang%E2%80%93Mills_existence_and_mass_gap)
+
+[[Space:standard-model|The Standard Model's loose ends]] · [[Continent:physics|Physics]]
Revision 87 as rendered
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