论文标题
GR的手性扰动理论
Chiral perturbation theory for GR
论文作者
论文摘要
我们将一种新的扰动理论描述为一般相对论，手性的一阶爱因斯坦 - 卡丹的作用是起点。我们的主要结果是一个新的量规程序，可以消除连接到连接传播器。所有其他已知的一阶形式主义都具有该繁殖者非零，这显着增加了任何扰动计算的组合复杂性。相比之下，在没有连接连接繁殖器的情况下，我们的形式主义导致了一个有效的描述，在这种描述中，只有度量标准（或四分之一）繁殖，只有立方和四分之一的顶点，但是某些顶点腿是特殊的，因为它们不能由繁殖器连接。新的形式主义是对阳米尔斯理论的著名和强大的手性描述的重力类似物。
We describe a new perturbation theory for General Relativity, with the chiral first-order Einstein-Cartan action as the starting point. Our main result is a new gauge-fixing procedure that eliminates the connection-to-connection propagator. All other known first-order formalisms have this propagator non-zero, which significantly increases the combinatorial complexity of any perturbative calculation. In contrast, in the absence of the connection-to-connection propagator, our formalism leads to an effective description in which only the metric (or tetrad) propagates, there are only cubic and quartic vertices, but some vertex legs are special in that they cannot be connected by the propagator. The new formalism is the gravity analog of the well-known and powerful chiral description of Yang-Mills theory.
