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

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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http://hal.in2p3.fr/in2p3-00023500
Contributor : Suzanne Robert <>
Submitted on : Wednesday, December 22, 2004 - 9:43:50 AM
Last modification on : Wednesday, September 16, 2020 - 4:07:26 PM

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F. Jugeau, H. Sazdjian. Quarkonium bound state equation in the Wilson loop approach with minimal surfaces. Workshop Hadron Structure and QCD, May 2004, Repino, St. Petersburg, Russia. pp.10. ⟨in2p3-00023500⟩

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