论文标题
在所有维循环量子重力中，相对于简单限制的量规减少
On the gauge reduction with respect to simplicity constraint in all dimensional loop quantum gravity
论文作者
论文摘要
在本文中，我们将讨论所有维循环量子重力的经典和量子理论中的简单限制。随着量规的减小，进行了边缘的模拟性约束，并且在自动升华相空间中弱施加了异常的顶点简单性约束，可以建立简单性降低的自由度。但是，我们发现简单性降低的自由度无法捕获内在曲率的自由度，这导致它无法按照标准策略在所有维度LQG中构建正确的标量约束操作员。为了解决这个问题，我们建立了一种与简单性降低的连接相对应的新类型的固体，它可以正确地捕获固有和外在曲率的自由度。基于这种新型的自律，我们提出了三种新策略来构建标量约束操作员，这些策略是研究未来所有维度LQG动态的宝贵候选者。
In this paper, we are going to discuss the gauge reduction with respect to the simplicity constraint in both classical and quantum theory of all dimensional loop quantum gravity. With the gauge reduction with respect to edge-simplicity constraint being proceeded and the anomalous vertex simplicity constraint being imposed weakly in holonomy-flux phase space, the simplicity reduced holonomy can be established. However, we find that the simplicity reduced holonomy can not capture the degrees of freedom of intrinsic curvature, which leads that it fails to construct a correct scalar constraint operator in all dimensional LQG following the standard strategy. To tackle this problem, we establish a new type of holonomy corresponding to the simplicity reduced connection, which captures the degrees of freedom of both intrinsic and extrinsic curvature properly. Based on this new type of holonomy, we propose three new strategies to construct the scalar constraint operators, which serve as valuable candidates to study the dynamics of all dimensional LQG in the future.
