Derivation of a Closed Expression of the B-S Interaction Kernel for Quark-Antiquark Bound States  

Derivation of a Closed Expression of the B-S Interaction Kernel for Quark-Antiquark Bound States

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作  者:SU Jun-Chen 

机构地区:[1]Center for Theoretical Physics, Physics College, Jilin University, Changchun 130023, China

出  处:《Communications in Theoretical Physics》2002年第10期433-446,共14页理论物理通讯(英文版)

基  金:国家自然科学基金,the Research Fund for the Doctoral Program of Higher Education of China

摘  要: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.

关 键 词:B-S equation  INTERACTION kernel  qq BOUND state 

分 类 号:O4[理学—物理]

 

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