Abstract
We define the Abelian component of the gauge field as a gauge-invariant object in the Yang-Mills theory. Then, by assuming that the Abelian component dominates in the theory at a long-distance scale, we demonstrate that quarks as well as gluons are confined by electric vortices. The vacuum structure is shown to depend on resolution . That is, the vacuum has two phases in and monopole condensation occurs for . The string tension of mesons is obtained as , where is the effective coupling constant at the critical resolution . We estimate to be 0.6 GeV in the presence of static quarks, and the bag constant to be 0.2-0.4 GeV. We also derive a relation between Regge slopes of mesons () and of gluonia (). This relation agrees with experimental data remarkably well provided that gluonia are identified with states lying on the Pomeranchuk trajectory.
- Received 4 August 1981
DOI:https://doi.org/10.1103/PhysRevD.25.2681
©1982 American Physical Society