Derivation of a Closed Expression of the B-S Interaction Kernel for Quark-Antiquark Bound States |
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Authors: | SU Jun-Chen |
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Institution: | Center for Theoretical Physics, Physics College, Jilin University, Changchun 130023, China |
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Abstract: | The interaction kernel in the Bethe-Salpeter (B-S) equation for quark-antiquark bound states is derivedfrom B-S equations satisfied by the quark-antiquark four-point Green's function. The latter equations are establishedbased on the equations of motion obeyed by the quark and antiquark propagators, the four-point Green's function andsome other kinds of Green's functions, which follow directly from the QCD generating functional. The derived B-Skernel is given by a closed and explicit expression which contains only a few types of Green's functions. This expressionis not only convenient for perturbative calculations, but also applicable for nonperturbative investigations. Since thekernel contains all the interactions taking place in the quark-antiquark bound states, it actually appears to be the mostsuitable starting point of studying the QCD nonperturbative effect and quark confinement. |
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Keywords: | B-S equation interaction kernel qq bound state |
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