The self-dual Yang-Mills equations in four dimensions are integrable, for any gauge group, via the twistor transform. Integrability of the Yang-Mills equations proper in four dimensions with a finite dimensional gauge group cannot reasonably be hoped for. However, longstanding questions about the large N limit of QCD suggest that a new form of integrability might conceivably emerge in the limit of an infinite dimensional gauge group.
All Science Journal Classification (ASJC) codes
- Mathematical Physics
- General Physics and Astronomy
- Geometry and Topology
- Yang-Mills equations