论文标题
通过同义转移的仪表不变理论
Gauge Invariant Perturbation Theory via Homotopy Transfer
论文作者
论文摘要
我们表明，通用量规理论的扰动扩展可以用仪表变量对扰动中的所有顺序表示。在此中，我们将使用Bardeen变量的量规界扰动理论中开发的技术推广，通过将传递传递给衡量不变域的传递为编码仪表理论的强度同质性代数的同型转移。这是针对杨米尔斯理论，平坦和宇宙学背景的重力以及封闭弦理论的无质量领域的说明。扰动引理产生了算法程序，以确定规格不变变量的较高校正以及在这些方面的作用。
We show that the perturbative expansion of general gauge theories can be expressed in terms of gauge invariant variables to all orders in perturbations. In this we generalize techniques developed in gauge invariant cosmological perturbation theory, using Bardeen variables, by interpreting the passing over to gauge invariant fields as a homotopy transfer of the strongly homotopy Lie algebras encoding the gauge theory. This is illustrated for Yang-Mills theory, gravity on flat and cosmological backgrounds and for the massless sector of closed string theory. The perturbation lemma yields an algorithmic procedure to determine the higher corrections of the gauge invariant variables and the action in terms of these.
