arXiv 1201.26722012-01hep-phhep-latnucl-th

夸克色荷的一般形式

General Form of Color Charge of the Quark

Gouranga C. Nayak

备注：: 52 pages latex, final version, accepted for publication in Eur. Phys. J. C. arXiv admin note: substantial text overlap with arXiv:1201.2666
发表信息：: Eur. Phys. J. C (2013) 73:2442
DOI：: 10.1140/epjc/s10052-013-2442-6

摘要：

在麦克斯韦理论中，电子的恒定电荷e与连续性方程$\partial_μj^μ(x)=0$一致，其中$j^μ(x)$是电子的电流密度，其中重复指数$μ=0,1,2,3$被求和。然而，在杨-米尔斯理论中，夸克的杨-米尔斯色流密度$j^{μa}(x)$满足方程$D_μ[A]j^{μa}(x)=0$，这不是一个连续性方程（$\partial_μj^{μa}(x)\neq 0$），这意味着夸克的色荷不是常数，其中a= 1，2，.，8是颜色指数。由于点粒子的电荷是通过在整个（物理上）允许的体积上积分，从相应电流密度的零（$μ=0$）分量中获得的，因此杨-米尔斯理论中夸克的色电荷$q^a(t)$是与时间相关的。本文导出了SU（3）中Yang-Mills理论中夸克的八种含时基色荷$q^a(t)$的一般形式，其中a= 1，2，. 8.

英文摘要：

In Maxwell theory the constant electric charge e of the electron is consistent with the continuity equation $\partial_μj^μ(x)=0$ where $j^μ(x)$ is the current density of the electron where the repeated indices $μ=0,1,2,3$ are summed. However, in Yang-Mills theory the Yang-Mills color current density $j^{μa}(x)$ of the quark satisfies the equation $D_μ[A]j^{μa}(x)=0$ which is not a continuity equation ($\partial_μj^{μa}(x)\neq 0$) which implies that the color charge of the quark is not constant where a=1,2,...,8 are the color indices. Since the charge of a point particle is obtained from the zero ($μ=0$) component of a corresponding current density by integrating over the entire (physically) allowed volume, the color charge $q^a(t)$ of the quark in Yang-Mills theory is time dependent. In this paper we derive the general form of eight time dependent fundamental color charges $q^a(t)$ of the quark in Yang-Mills theory in SU(3) where a=1,2,...,8.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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英文摘要：

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