If solved
Rigorous Quantum Field Theory
Quantum Yang-Mills theory in four dimensions is built and checked mathematically, with a proven mass gap.
Open in the interactive tree →A proof would give the strong-force part of the Standard Model a rigorous foundation and would likely bring renormalization methods that also work for other quantum field theories. It would turn today's numerical evidence into theorems.
What it brings
- A rigorous basis for the strong-force sector of the Standard Model
- Mathematical proof of the mass gap behind confinement
- Rigorous constructions of further gauge theories