论文标题
来自韦尔重力的爱因斯坦重力的出现
Emergence of Einstein Gravity from Weyl Gravity
论文作者
论文摘要
结果表明，在基于Weyl的形状几何形状的二次引力中，Einstein-Hilbert的作用不仅出现，而且在Weyl量规条件下，Weyl量规场在Weyl量表的条件下也变得巨大，$ \ tilde r = K $，对于Brst Sumporismiss框架内的Weyl仪表对称性。我们还考虑了一种更通用的引力理论，其在Weyl几何形状中具有标量场，并认为爱因斯坦 - 希尔伯特的作用可以是由韦尔仪对称性的自发对称分解引起的。因此，事实证明，Weyl的保形重力在机械上等同于爱因斯坦的一般相对论加上巨大的Weyl仪表场，而Weyl几何形状在量子状态下没有臭名昭著的``第二个时钟问题''。
It is shown that in a quadratic gravity based on Weyl's conformal geometry, not only the Einstein-Hilbert action emerges but also a Weyl gauge field becomes massive in the Weyl gauge condition, $\tilde R = k$, for a Weyl gauge symmetry within the framework of the BRST formalism. We also consider a more general gravitational theory with a scalar field in the Weyl geometry and see that the Einstein-Hilbert action can be induced from spontaneous symmetry breakdown of the Weyl gauge symmetry. Thus, it turns out that Weyl's conformal gravity is quantum mechanically equivalent to Einstein's general relativity plus a massive Weyl gauge field, and the Weyl geometry is free from an infamous ``second clock problem'' in quantum regime.
