论文标题
非扰动量子重力中的近似杀死对称性
Approximate Killing symmetries in non-perturbative quantum gravity
论文作者
论文摘要
这是一个开放的问题，即在普朗克量表上以非扰动性的量子重力理论的行为的波动，以使所产生的半经典几何形状可以通过承认（近似）杀死对称性的空间来建模。我们已经调查了近似杀伤载体场的概念是否适合在量子重力的晶格理论（例如（因果）动力学三角剖分中解决这个问题。我们表明，可以使用离散的外部微积分框架构建与近似杀死矢量场有关的量子可观察物。我们已经评估了三种二维量子重力的玩具模型上一种特定选择的可观察选择的期望值。
It is an open question whether fluctuations at the Planck scale in a non-perturbative theory of quantum gravity behave in such a way that the resulting semi-classical geometry can be modelled by a space that admits (approximate) Killing symmetries. We have investigated whether the notion of approximate Killing vector fields is suitable to address this question in lattice theories of quantum gravity, such as (Causal) Dynamical Triangulations. We show that it is possible to construct quantum observables related to approximate Killing vector fields using the framework of Discrete Exterior Calculus. We have evaluated the expectation value of one particular choice of observable on three toy models of two-dimensional quantum gravity.
