Closed expression of the interaction kernel in the Bethe-Salpeter equation for quark-antiquark bound states

Details Closed expression of the interaction kernel in the Bethe-Salpeter equation for quark-antiquark bound states Closed expression of the interaction kernel in the Bethe-Salpeter equation for quark-antiquark bound states

2002-02-05

arxiv.org/abs/hep-th/0202026v2

Prog.Theor.Phys. 114 (2005) 391-431

Physics

High Energy Physics

High Energy Physics - Theory

27 pages,no figures

Scientific paper

10.1143/PTP.114.391

The interaction kernel in the Bethe-Salpeter equation for quark-antiquark bound states is derived from the Bethe-Salpeter equations satisfied by the quark-antiquark four-point Green's function. The latter equations are established based on the equations of motion obeyed by the quark and antiquark propagators, the four-point Green's function and some other kinds of Green's functions which follow directly from the QCD generating functional. The B-S kernel derived is given an exact and explicit expression which contains only a few types of Green's functions. This expression is not only convenient for perturbative calculations, but also suitable for nonperturbative investigations.

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