论文标题
重力耦合到衡量理论的横向性
Transversality in the Coupling of Gravity to Gauge Theories
论文作者
论文摘要
我们认为（有效的）量子相对论与标准模型结合并研究其横向性。为此，我们提供了所有繁殖和三价顶点Feynman规则。然后，我们检查了DO Donder量规固定和Lorenz量规固定的纵向，相同和横向投影张量。特别是，我们回想起了量子杨理论的几种身份，并在（有效）量子一般相对论中介绍了它们的对应物：这包括纵向投影张量的分解，以及相应的繁殖者的表达，以其横向结构以及所有三个价值verex feynman规则的纵向置换身份而言。此外，我们将最佳量规固定的概念介绍为给定量规理论的自然选择：特别是，我们发现这是de donder量规固定在一般相对论中，而lorenz量规固定在yang-mills理论中。
We consider (effective) Quantum General Relativity coupled to the Standard Model and study its transversality. To this end, we provide all propagator and three-valent vertex Feynman rules. Then we examine the longitudinal, identical and transversal projection tensors for the de Donder gauge fixing and the Lorenz gauge fixing. In particular, we recall several identities from Quantum Yang--Mills theory and introduce their counterparts in (effective) Quantum General Relativity: This includes decompositions of the longitudinal projection tensors as well as expressions of the corresponding propagators in terms of their transversal structure, together with longitudinal contraction identities for all three-valent vertex Feynman rules. In addition, we introduce the notion of an optimal gauge fixing as the natural choice for a given gauge theory: In particular, we find that this is the de Donder gauge fixing in General Relativity and the Lorenz gauge fixing in Yang--Mills theory.
