标题： 三个静态夸克之间的颜色场配置 显示英文标题

标题： Color field configuration between three static quarks

摘要： 在带有外源的杨-米尔斯-普罗卡理论中，得到了规则的、能量有限的解。 表明颜色电场/磁场有两个组成部分：第一部分分别是梯度/旋度部分，第二部分是非线性部分。 表明颜色电场具有Y型的空间分布。 这种Y型行为出现是因为电场的梯度部分存在。 电场的非线性部分是旋度部分，它出现是因为存在由环形电流产生的矢势。 颜色磁场完全是旋度部分，因为其非零的颜色分量不包含非线性部分；这导致其力线位于一个环面的表面上。 表明所得结果与量子色动力学中的格点计算结果有很好的一致性。 为了讨论这种一致性，我们考虑一种非微扰量化过程，并讨论确保这种一致性的可能近似方法。 此外，我们将我们得到的能量分布与格点计算中使用静态势得到的能量分布进行了比较。 显示英文摘要

摘要： Within Yang-Mills-Proca theory with external sources, regular, finite energy solutions are obtained. It is shown that color electric/magnetic fields have two components: the first part is a gradient/curl component, respectively, and the second part is a nonlinear component. It is shown that the color electric field has a Y-like spatial distribution. Such a Y-like behavior arises because the gradient component of the electric field is present. The nonlinear component of the electric field is a curl one, and it appears because the vector potential sourced by a solenoidal current is present. The color magnetic field is purely curl one, since its nonzero color components do not contain a nonlinear component; this results in the fact that its force lines lie on the surface of a torus. It is shown that the results obtained are in good agreement with the results obtained in lattice calculations in quantum chromodynamics. To discuss such an agreement, we consider a procedure of nonperturbative quantization and discuss possible approximations ensuring such an agreement. Also, we compare the energy profile obtained by us with that obtained in lattice calculations with a static potential.