论文标题
Barbero-immirzi连接以及如何构建它们
Barbero-Immirzi connections and how to build them
论文作者
论文摘要
我们引入了Barbero-Immirzi连接的协变配方，该公式用于循环量子重力来描述重力。我们表明，Barbero-immirzi连接可以是通过给定的任何$（n+1）$ - 尺寸Lorentzian歧管的旋转连接来唯一定义的。一个显着的结果是，真正的Barbero-Immirzi参数的存在是$ 4 $维情况下的特征。
We introduce a covariant formulation of Barbero-Immirzi connections, which are used in Loop Quantum Gravity to describe gravity. We show that Barbero-Immirzi connections can be uniquely defined out of a given spin connection for any $(n+1)$-dimensional lorentzian manifold which is spin. A remarkable result is that the presence of a real Barbero-Immirzi parameter is a feature unique to the $4$-dimensional case.
