Quarkonium bound state equation in the Wilson loop approach with minimal surfaces
Abstract
Description
Wilson loop averages are evaluated for large contours and in the large N limit by means of minimal surfaces. This allows the study of the quark-antiquark gauge invariant Green function through its dependence on Wilson loops. A covariant bound state equation is derived which in the center-of-mass frame and at equal-times takes the form of a Breit-Salpeter type equation. The interaction potentials reduce in the static case to a confining linear vector potential. For moving quarks, flux tube like contributions are present. The nonrelativistic limit is considered.
10 pages, 2 figures. Talk given by H.S. at the Workshop Hadron Structure and QCD, Repino, St. Petersburg, Russia, 18-22 May 2004. To appear in the Proceedings
10 pages, 2 figures. Talk given by H.S. at the Workshop Hadron Structure and QCD, Repino, St. Petersburg, Russia, 18-22 May 2004. To appear in the Proceedings