论文标题
质子自旋，拓扑和限制：QCD $ _2 $的课程
Proton spin, topology and confinement: lessons from QCD$_2$
论文作者
论文摘要
我们研究了核子拓扑与其自旋组成之间的关系。我们在（1+1）尺寸的单料QCD中处理了这个问题，并具有大量颜色。在此限制中，该理论可以证明对完全可解决的正弦 - 戈登模型是双重的。在分析上已经知道了重子和介子的光谱，而Baryon是正弦模型的拓扑结构。使用孤子成分的方法，我们构建了重子的状态，并提取其$ G_1 $结构功能。由于Baryon状态的拓扑性质，该结构功能在低Bjorken $ x $上得到了增强。我们将这种增强作为对核子状态拓扑结构的实验探针。
We investigate the relation between the topology of a nucleon and its spin composition. We approach this question in (1+1) dimensional single-flavor QCD with a large number of color. In this limit the theory can be shown to be dual to the exactly solvable sine-Gordon model. The spectrum of baryons and mesons is known analytically, and the baryon is a topological kink of the sine-Gordon model. Using the method of solitonic constituents we construct the state of the baryon and extract its $g_1$ structure function. Due to the topological nature of the baryon state this structure function is enhanced at low Bjorken $x$. We propose this enhancement as an experimental probe of the topological structure of the nucleon state.
