Yang-Mills fields and the lattice
arXiv:hep-lat/0406007 · doi:10.1142/9789812567147_0015
Abstract
The Yang-Mills theory lies at the heart of our understanding of elementary particle interactions. For the strong nuclear forces, we must understand this theory in the strong coupling regime. The primary technique for this is the lattice. While basically an ultraviolet regulator, the lattice avoids the use of a perturbative expansion. I discuss some of the historical circumstances that drove us to this approach, which has had immense success, convincingly demonstrating quark confinement and obtaining crucial properties of the strong interactions from first principles.
17 pages, 4 figures; contribution to "50 years of Yang-Mills theory", edited by G. 't Hooft