论文标题
带有来源的古典杨工厂方程：特定标量电势的后果
Classical Yang Mills equations with sources: consequences of specific scalar potentials
论文作者
论文摘要
文献中经常考虑或使用的一些众所周知的标量潜力通过$ n_c = 3 $的$ su（2）$子组的经典Yang Mills方程进行了研究。通过固定标量电势的特定形状，可以找到所得的矢量电势和相应的颜色电荷来源。通过采用球形坐标系，可以表明，仅取决于径向坐标的球体对称溶液仅适用于Abelian极限，否则，必须具有角度依赖性组件（S）。研究了标量潜力的以下解决方案：库仑电位和非球面的对称概括，线性潜在$ a_0（\ vec {r}）\ sim（κR）$，yukawa-type type $ $ a_0（\ vec {r}）标量电势假设恒定值。发现相应的染色体和染色体磁场以及颜色电荷密度与球形对称构型具有很大的偏差。我们推测这些类型的非球面对称配置可能会对（各向异性）限制机制贡献（或偏爱），因为它们应该偏爱与（非对称）磁性限制的彩色电荷电荷 - 或三色电荷（或三色电荷）结合状态。还提出了解决方案参数之间的特定条件和关系。
Some well known gauge scalar potential very often considered or used in the literature are investigated by means of the classical Yang Mills equations for the $SU(2)$ subgroups of $N_c=3$. By fixing a particular shape for the scalar potential, the resulting vector potentials and the corresponding color-charges sources are found. By adopting the spherical coordinate system, it is shown that spherically symmetric solutions, only dependent on the radial coordinate, are only possible for the Abelian limit, otherwise, there must have angle-dependent component(s). The following solutions for the scalar potential are investigated: the Coulomb potential and a non-spherically symmetric generalization, a linear potential $A_0 (\vec{r}) \sim (κr)$, a Yukawa-type potential $A_0 (\vec{r}) \sim (C e^{-r/r_0}/r)$ and finite spatial regions in which the scalar potential assumes constant values. The corresponding chromo-electric and chromo-magnetic fields, as well as the color-charge densities, are found to have strong deviations from the spherical symmetric configurations. We speculate these types of non-spherically symmetric configurations may contribute (or favor) for the (anisotropic) confinement mechanism since they should favor color charge-anti-charge (or three-color-charge) bound states that are intrinsically non spherically symmetric with (asymmetric) confinement of fluxes. Specific conditions and relations between the parameters of the solutions are also presented.
