Quarkonium bound state equation in the Wilson loop approach with minimal surfaces

Details Quarkonium bound state equation in the Wilson loop approach with minimal surfaces Quarkonium bound state equation in the Wilson loop approach with minimal surfaces

2004-12-20

arxiv.org/abs/hep-ph/0412291v1

Proc. Intern. Workshop Hadron Structure and QCD, Publ. Dept. St. Petersburg INP (2005) 275-284 (eds. V.T. Kim and L.N. Lipatov

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, 2 figures. Talk given by H.S. at the Workshop Hadron Structure and QCD, Repino, St. Petersburg, Russia, 18-22 May 20

Scientific paper

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.

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