论文标题

对称的幽灵lagrange密度,用于衡量理论的重力耦合

Symmetric Ghost Lagrange Densities for the Coupling of Gravity to Gauge Theories

论文作者

Prinz, David

论文摘要

我们得出并当前的对称幽灵拉格朗日密度,以将一般相对论与杨的耦合 - 米尔斯理论耦合。 Graviton-Ghost是根据线性化的DO Donder量规固定构建的,并且相对于协变量Lorenz量规固定,仪表幽灵是构建的。这两种幽灵的拉格朗日密度及其随附的量规固定拉格朗日密度都是从差异性和量规BRST和Anti-Brst操作员对合适量规固定玻色子的作用中获得的。此外,我们介绍了一个总尺寸固定玻色子,并表明可以使用总BRST操作员和总计反BRST Operator生成完整的幽灵和量规固定Lagrange密度,该密度是由作者在上一篇文章(2022)中引入的。这概括了Baulieu和Thierry-Mieg(1982)的总体相对论和协变量的杨 - 理论。

We derive and present symmetric ghost Lagrange densities for the coupling of General Relativity to Yang--Mills theories. The graviton-ghost is constructed with respect to the linearized de Donder gauge fixing and the gauge ghost is constructed with respect to the covariant Lorenz gauge fixing. Both ghost Lagrange densities together with their accompanying gauge fixing Lagrange densities are obtained from the action of the diffeomorphism and gauge BRST and anti-BRST operators on suitable gauge fixing bosons. In addition, we introduce a total gauge fixing boson and show that the complete ghost and gauge fixing Lagrange density can be generated thereof using the total BRST operator and the total anti-BRST operator, introduced by the author in a previous article (2022). This generalizes results from Baulieu and Thierry-Mieg (1982) to General Relativity and covariant Yang--Mills theories.

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