标题： 库仑势不是QCD势的一部分 显示英文标题

标题： Coulomb Potential Is Not a Part of The QCD Potential

摘要： 库伦势加线性势在量子色动力学（QCD）中被广泛应用。然而，在本文中我们表明，具有形式$\frac{1}{r}$的库伦势并不是 QCD 势的一部分。这是因为形式$\frac{g^2}{r}$是阿贝尔理论（而非 QCD）的表述，而在短程下的 QCD 形式$\frac{g^2(\mu)}{r}$并非库伦形式$\frac{1}{r}$，因为$g(\mu)$依赖于质量/长度标度$\mu$。同样地，在长程下，QCD 势对应于经典杨-米尔斯理论中的势，它没有库伦形式$\frac{1}{r}$，因为在经典杨-米尔斯理论中夸克的基本色荷是时间相关的。这与 QED 势不同，后者在长程时会退化为库伦势。 显示英文摘要

摘要： The Coulomb plus linear potential is widely used in QCD. However, in this paper we show that the Coulomb potential of the form $\frac{1}{r}$ is not a part of the QCD potential. This is because the form $\frac{g^2}{r}$ is for abelian theory (not QCD) and the form $\frac{g^2(\mu)}{r}$ in QCD at short distance is not of the Coulomb form $\frac{1}{r}$ because $g(\mu)$ depends on the mass/length scale $\mu$. Similarly at long distance the QCD potential corresponds to the potential in the classical Yang-Mills theory which does not have the Coulomb form $\frac{1}{r}$ because the fundamental color charge of the quark is time dependent in the classical Yang-Mills theory. This is unlike the QED potential which reduces to Coulomb potential at long distance.