论文标题
$ n $的轻夸克
Light Quarks at Large $N$
论文作者
论文摘要
晶格仪理论模拟是我们对光夸克质量的主要探测。此类计算的结果是针对强大CP问题的$ M_U = 0 $解决方案的主要证据。大$ n $近似提供了一种独立的夸克方法。我们扩展了现有文献，并指出人们可以通过夸克质量的二阶确定非线性Sigma模型的参数，排除$ M_U = 0 $假设，并为晶格计算和现象学拟合的输出做出预测。该分析的一个关键特征是在$η^\ prime $质量上方的尺度上的威尔逊有效动作。一个人可以一致地测试该框架方面的有效性，并且在三分之二的水平上可能是好的。我们还注意到与某些现象学拟合和现有晶格结果的一致性。
Lattice gauge theory simulations are our principal probe of the masses of the light quarks. Results from such computations are the primary evidence against the $m_u=0$ solution to the strong CP problem. The large-$N$ approximation offers an independent approach to light quarks. We extend existing literature, noting that one can determine the parameters of the non-linear sigma model through second order in quark mass, rule out the $m_u=0$ hypothesis, and make predictions for outputs of lattice calculations and phenomenological fits. A crucial feature of this analysis is a Wilsonian effective action at scales above the $η^\prime$ mass. One can self-consistently test the validity of aspects of this framework, and it may well be good to the part-in-three level. We also note consistency with some phenomenological fits and existing lattice results.
