论文标题
霍尔斯特对一般相对论的行动的离散化
A discretization of Holst's action for general relativity
论文作者
论文摘要
我们提出了一个以离散的Lorentz连接和离散的四局场来编写的重力模型。其行动的连续性限制是霍尔斯特对一般相对论的行动。为了将其用于构建量子重力的自旋泡沫模式，我们编写了另外两个与离散和约束$ b $字段的同等模型。我们的模型与现有模型之间的差异很可能是不必要的，因为量化会导致威尔逊连续限制中等效的量子理论。然而，我们提到了两个可能带来可能优势的特征：在每个4-Simplex的级别上描述了曲率自由度。我们的模型提供了散装几何形状的图片，从而为物质耦合做出了动作，这些耦合将其分为4个简化的总和。
We present a simplicial model for gravity written in terms of a discretized Lorentz connection and a discretized tetrad field. The continuum limit of its action is Holst's action for general relativity. With the intention of using it to construct spin foam modes for quantum gravity, we write two other equivalent models written in terms of a discretized and constrained $B$ field. The differences between our model and existing models are most likely inessential in the sense that a quantization would lead to equivalent quantum theories in the Wilsonian continuum limit. Nevertheless, we mention two features leading to possible advantages: Curvature degrees of freedom are described at the level of each 4-simplex. Our model offers a picture of bulk geometry leading to actions for matter couplings that split as a sum over 4-simplices.
