Abstract
The interaction kernel in the Bethe–Salpeter equation for quark-antiquarkbound states is derived newly from QCD in the case where the quark and theantiquark are of different flavors. The technique of the derivation is theusage of the irreducible decomposition of the Green's functions involved inthe Bethe–Salpeter equation satisfied by the quark-antiquark four-pointGreen's function. The interaction kernel derived is given a closed andexplicit expression which shows a specific structure of the kernel since thekernel is represented in terms of the quark, antiquark and gluon propagatorsand some kinds of quark, antiquark and/or gluon three, four, five andsix-point vertices. Therefore, the expression of the kernel is not onlyconvenient for perturbative calculations, but also suitable fornonperturbative investigations.
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