夸克-反夸克束缚态的B-S相互作用核的封闭表示式(英文)

Closed Expression of B-S Interaction Kernel for Quark-antiquark Bound States

根据从 QCD生成泛函所建立的夸克和反夸克的传播子、四点格林函数及其它类型的格林函数所满足的运动方程 ,推导出了夸克 -反夸克束缚态的 Bethe- Salpeter方程中相互作用核的明显且封闭的表示式 ,给出了这个表示式的未重整化和重整化了的形式 .这个表示式不仅易于进行微扰计算 ,而且适于进行非微扰的计算 ,特别是它提供了求解夸克禁闭问题一个恰当的理论出发点 .

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 function. The Bethe-Salpeter kernel derived is 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.