论文标题
电触电引力作为量规理论：与cartan连接至关重要的耦合
Teleparallel gravity as a gauge theory: coupling to matter with Cartan connection
论文作者
论文摘要
如我们在以前的作品中所提出的那样，我们对触觉上的耦合提出了对耦合的一致和完整描述。第一个定理允许我们从cartan连接到适当的ehresmann连接，而第二个则确保将tegr-cartan连接链接到包含levi-civita连接的ehresmann Oneform。这与观察结果和等价原理一致的耦合产生了耦合。随着基本领域从cartan的联系中进行，如果人们坚持将TEGR解释为翻译量表理论，则可以从所提出的一致理论中提取这种翻译规来的字段。但是，这将需要对仪表理论已知的结构进行基本变化，并且仪表字段和连接之间的分裂是必不可少的。 The willingness to take such a step is left to the reader.
We present a consistent and complete description of the coupling to matter in the Teleparallel Equivalent to General Relativity (TEGR) theory built from a Cartan connection, as we proposed in previous works. A first theorem allows us to obtain parallel transport from the Cartan connection into a proper Ehresmann connection, while a second ensures to link the TEGR-Cartan connection to the Ehresmann one-form that contains the Levi-Civita connection. This yields a coupling to matter in agreement with observations and the Equivalence Principle. As the fundamental fields proceed from the Cartan connection, if one insists on interpreting TEGR as a gauge theory of translations, such translation gauge field can be extracted from the consistent theory presented. However, this would entail a fundamental change in the structures known for gauge theory and a split between gauge field and connection is imperative. The willingness to take such a step is left to the reader.
