Confinement of quarks
Abstract
A mechanism for total confinement of quarks, similar to that of Schwinger, is defined which requires the existence of Abelian or nonAbelian gauge fields. It is shown how to quantize a gauge field theory on a discrete lattice in Euclidean spacetime, preserving exact gauge invariance and treating the gauge fields as angular variables (which makes a gaugefixing term unnecessary). The lattice gauge theory has a computable strongcoupling limit; in this limit the binding mechanism applies and there are no free quarks. There is unfortunately no Lorentz (or Euclidean) invariance in the strongcoupling limit. The strongcoupling expansion involves sums over all quark paths and sums over all surfaces (on the lattice) joining quark paths. This structure is reminiscent of relativistic string models of hadrons.
 Publication:

Physical Review D
 Pub Date:
 October 1974
 DOI:
 10.1103/PhysRevD.10.2445
 Bibcode:
 1974PhRvD..10.2445W