论文标题
量子su(n)杨米尔斯理论的颜色结构
Color structure of quantum SU(N) Yang-Mills theory
论文作者
论文摘要
颜色限制是基于量子SU(3)Yang-Mills理论的强相互作用理论中最令人困惑的现象。颜色限制的起源被认为与非亚伯仪理论的非扰动特征密切相关,并触及了该理论的基础。我们修改了QCD的基本概念,主要集中于gluons和Quarks的概念以及量子状态的颜色结构。我们的主要思想是,Weyl对称性是唯一决定量子状态和物理可观察物的颜色属性的唯一颜色对称性。我们在SU(3)Yang-Mills理论中为经典的Weyl对称动力学解决方案构建了ANSATZ,该解释描述了一种颗粒色单元量子态的胶子和夸克。 Abelian Weyl对称溶液提供了颜色不变的真空和真空胶状冷凝物的微观结构。这解决了QCD中存在量规不变和稳定真空的问题。我们对SU(n)(n = 4,5)Yang-Mills理论的考虑的概括意味着仅在SU(3)Yang-Mills理论中才有可能颜色限制阶段。
Color confinement is the most puzzling phenomenon in the theory of strong interaction based on a quantum SU(3) Yang-Mills theory. The origin of color confinement supposed to be intimately related to non-perturbative features of the non-Abelian gauge theory, and touches very foundations of the theory. We revise basic concepts underlying QCD concentrating mainly on concepts of gluons and quarks and color structure of quantum states. Our main idea is that a Weyl symmetry is the only color symmetry which determines all color attributes of quantum states and physical observables. We construct an ansatz for classical Weyl symmetric dynamical solutions in SU(3) Yang-Mills theory which describe one particle color singlet quantum states for gluons and quarks. Abelian Weyl symmetric solutions provide microscopic structure of a color invariant vacuum and vacuum gluon condensates. This resolves a problem of existence of a gauge invariant and stable vacuum in QCD. Generalization of our consideration to SU(N) (N=4,5) Yang-Mills theory implies that the color confinement phase is possible only in SU(3) Yang-Mills theory.