François J, Ravera L
Department of Mathematics and Statistics, Masaryk University-MUNI, Kotlářská 267/2, Veveří, Brno, Czech Republic.
Department of Philosophy, University of Graz, Heinrichstraße 26/5, 8010 Graz, Austria.
Eur Phys J C Part Fields. 2025;85(8):902. doi: 10.1140/epjc/s10052-025-14656-2. Epub 2025 Aug 25.
We reassess foundational aspects of Metric-Affine Gravity (MAG) in light of the Dressing Field Method, a tool allowing to systematically build gauge-invariant field variables. To get MAG started, one has to deal with the problem of "gauge translations". We first recall that Cartan geometry is the proper mathematical foundation for gauge theories of gravity, and that this problem never arises in that framework, which still allows to clarify the geometric status of gauge translations. Then, we show how the MAG kinematics is obtained via dressing in a technically streamlined way, which highlights that it reduces to a Cartan-geometric kinematics.
我们根据“穿衣场方法”重新评估度规仿射引力（MAG）的基础方面，该方法是一种能够系统构建规范不变场变量的工具。为了启动MAG，必须处理“规范平移”问题。我们首先回顾，嘉当几何是引力规范理论的恰当数学基础，并且在该框架中这个问题从未出现，该框架仍有助于阐明规范平移的几何地位。然后，我们展示了如何通过一种技术上简化的穿衣方式获得MAG运动学，这突出表明它简化为嘉当几何运动学。
