McLerran-Venugopalan模型的无穷小随机性
Randomness in infinitesimal extent in the McLerran-Venugopalan model
摘要：
我们研究了McLerran-Venugopalan（MV）模型的解析定义和数值实现之间的差异。一个快速移动的原子核的无穷小范围应保持纵向随机性的颜色源分布，即使当纵向范围接近零，由于洛伦兹收缩，这是适当地考虑到在分析处理。我们指出，纵向随机性丢失的数值模拟，因为缺乏的威尔逊线沿纵向的路径排序。我们定量地研究了有多少纵向随机性和没有纵向随机性的结果彼此不同。我们最后提到的差异可以吸收在物理单位的模型参数的选择，尽管如此，它是重要的一个完整的理论方法。
英文摘要：
We study discrepancy between the analytical definition and the numerical implementation of the McLerran-Venugopalan (MV) model. The infinitesimal extent of a fast-moving nucleus should retain longitudinal randomness in the color source distribution even when the longitudinal extent approximates zero due to the Lorentz contraction, which is properly taken into account in the analytical treatment. We point out that the longitudinal randomness is lost in numerical simulations because of lack of the path-ordering of the Wilson line along the longitudinal direction. We quantitatively investigate how much the results with and without longitudinal randomness differ from each other. We finally mention that the discrepancy could be absorbed in a choice of the model parameter in the physical unit, and nevertheless, it is important for a full theory approach.
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