Quark-antiquark bound state equation in the Wilson loop approach with minimal surfaces

Details Quark-antiquark bound state equation in the Wilson loop approach with minimal surfaces Quark-antiquark bound state equation in the Wilson loop approach with minimal surfaces

2005-10-12

arxiv.org/abs/hep-ph/0510160v1

AIPConf.Proc.806:238-244,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, 4 figures. Talk given by H.S. at the Workshop QCD at Work 2005, Conversano, Italy, 16-20 June 2005. To appear in the

Scientific paper

10.1063/1.2163769

The quark-antiquark gauge invariant Green function is studied through its dependence on Wilson loops. The latter are saturated, in the large Nc limit and for large contours, by minimal surfaces. 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 large-distance interaction potentials reduce in the static case to a confining linear vector potential. In general, the interaction potentials involve contributions having the structure of flux tube like terms.

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