光锥规规环的推导
Derivation of the Gauge Link in Light Cone Gauge
摘要：
在光锥规范中，在某些特定的边界条件下，为了恢复规范不变性，需要在光锥无穷远处引入一个规范环，以使横向动量依赖的部分子分布恢复到规范不变性。我们用一种更规则、更一般的方法导出了这种横规范链。我们发现光锥无穷远处的规范环自然地产生于压缩极的贡献：一个来自夸克传播子，另一个隐藏在光锥规范中的规范矢量场中。实际上，在振幅水平上，我们得到了一个更一般的超曲面上的规范链，它位于光锥无穷远处，在横向之外。在我们的推导中，也可以直接而清楚地得到半包含深度非弹性散射与Drell-Yan过程之间的这种规范联系的差别。
英文摘要：
In light cone gauge, a gauge link at light cone infinity is necessary for transverse momentum-dependent parton distribution to restore the gauge invariance in some specific boundary conditions. We derive such transverse gauge link in a more regular and general method. We find the gauge link at light cone infinity naturally arises from the contribution of the pinched poles: one is from the quark propagator and the other is hidden in the gauge vector field in light cone gauge. Actually, in the amplitude level, we have obtained a more general gauge link over the hypersurface at light cone infinity which is beyond the transverse direction. The difference of such gauge link between semi-inclusive deep inelastic scattering and Drell-Yan processes can also be obtained directly and clearly in our derivation.
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