建立在威尔逊圈水平上的两胶子体系的BS方程

BS Equation of Two-gluon System in the Wilson-loop Context

在一个有质量组分胶子与无质量规范胶子具有ＳＵｃ（Ｎ）定域规范不变的相互作用的模型中，得到了组分胶子两点格林函数与四点格林函数的Ｆｅｙｎｍａｎ－Ｓｃｈｗｉｎｇｅｒ表示，继而导出了两组分胶子体系的ＢＳ方程以及相互作用核的表达式，由此便证明了所有动力学信息都包含在处于ＳＵｃ（Ｎ）伴随表示的威尔逊圈中 ．

A model of the interactions between the massive constituent gluons and the massless gluons, which is invarient under the SUc (N) local gauge transformations, is proposed. The FeynmanSchwinger representations for the two-point Green-function as well as the four-point Green-function of the constituent gluons are obtained. Based on those, the Bethe-Solpeter (BS) equation for two constituent gluon system as well as the expression of the interaction kernel are derived. It is shown that all dynamical informations of the model are embedded in the Wilson-loop of the adjoint representation of the group SUc (N).