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

F. Jugeau·H. Sazdjian
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Abstract

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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F. Jugeau, H. Sazdjian. 2004-12-20. Quarkonium bound state equation in the Wilson loop approach with minimal surfaces. https://arxiv.org/abs/hep-ph/0412291

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