One of the most important mathematical tools necessary for Quantum Field Theory calculations is the field propagator. Applications are always done in terms of plane waves and although this has furnished many magnificent results, one may still be allowed to wonder what is the form of the most general propagator that can be written. In this paper, by exploiting what is called polar form, we find the most general propagator in the case of spinors, whether regular or singular, and we give a general discussion in the case of vectors.

中文翻译：

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量子场论中最一般的传播者

量子场论计算所需的最重要的数学工具之一是场传播器。应用程序总是以平面波的形式完成，尽管这提供了许多宏伟的结果，但仍然可以让人们想知道可以编写的最一般的传播器的形式是什么。在本文中，通过利用所谓的极坐标形式，我们找到了旋转量中最一般的传播子，无论是规则的还是奇异的，我们对向量的情况进行了一般性讨论。