论文标题
非亚伯野外强度相关器的仪表不变性：轴向量规难题
Gauge Invariance of Non-Abelian Field Strength Correlators: the Axial Gauge Puzzle
论文作者
论文摘要
许多夸克 - 胶原等离子体和核结构函数的传输系数可以写成带有威尔逊线的非亚伯野外强度的规范相关函数。我们讨论轴向量规$ n \ cdot a = 0 $的适用性以计算它们。特别是，我们解决了试图通过固定相关函数中的威尔逊线微不足道的问题时出现的问题。我们发现，总是不可能完全删除Wilson线的$ n \ cdot $ n \ cdot a $ cdot a $ n $ n $方向延伸到无穷大。我们展示了障碍物如何在扰动计算的明确示例中出现，我们还从定义理论的路径积分的角度来更笼统地解释了这一点。我们的结果解释了为什么定义重型夸克和夸克传输系数的两个相关器，它们在轴向仪上看似相等，实际上是夸克 - 网状等离子体的物理量不同，并且具有不同的值。此外，我们的发现提供了对两个不等性Gluon Parton分布函数之间差异的见解。
Many transport coefficients of the quark-gluon plasma and nuclear structure functions can be written as gauge invariant correlation functions of non-Abelian field strengths dressed with Wilson lines. We discuss the applicability of axial gauge $n\cdot A=0$ to calculate them. In particular, we address issues that appear when one attempts to trivialize the Wilson lines in the correlation functions by gauge-fixing. We find it is always impossible to completely remove the gauge fields $n\cdot A$ in Wilson lines that extend to infinity in the $n$-direction by means of gauge transformations. We show how the obstruction appears in an explicit example of a perturbative calculation, and we also explain it more generally from the perspective of the path integral that defines the theory. Our results explain why the two correlators that define the heavy quark and quarkonium transport coefficients, which are seemingly equal in axial gauge, are actually different physical quantities of the quark-gluon plasma and have different values. Furthermore, our findings provide insights into the difference between two inequivalent gluon parton distribution functions.
