标题： 夸克-反夸克贝塞尔-萨尔皮特方程在QCD中 显示英文标题

标题： Quark--Antiquark Bethe--Salpeter Equation in QCD

摘要： 我们回顾了最近在威尔逊环背景下推导QCD中的B-S方程的成果\cite{bsult}。 我们采用二阶形式理论，使用费曼-施温格路径积分表示法来描述外部场中的夸克，并得到一个类似表达式，用于夸克-反夸克振幅，在该表达式中，规范场仅通过威尔逊环积分$W$出现。 一个$ q \bar{q}$ B-S方程是从这个表达式出发，在已经用于重夸克势推导的假设下得到的，即$i \ln W$可以表示为微扰贡献和面积项之和。 首先在通过标量场相互作用的两个无自旋粒子的简单情况下讨论了这种本质上非微扰的推导方法。 在大夸克质量极限下重新得到了$q \bar{q}$半相对论势。 显示英文摘要

摘要： We review our recent results \cite{bsult} on the derivation of a B-S equation in QCD in a Wilson loop context. We work in a second order formalism, use the Feynman--Schwinger path integral representation for a quark in external field and obtain a similar expression for a quark--antiquark amplitude in which the gauge fields appears only through the Wilson loop integral $W$. A $ q \bar{q}$ B-S equation is obtained starting from this expression under the assumption, already used in the derivation of heavy quark potential, that $i \ln W$ can be expressed as the sum of a perturbative contribution and an area term. The intrinsically nonperturbative derivation method is first discussed on the simpler case of two spinless particles interacting through a scalar field. The $q \bar{q}$ semirelativistic potential is reobtained in the large quark mass limit.