论文标题
粗晶粒自旋泡沫量子重力 - 审查
Coarse graining spin foam quantum gravity -- a review
论文作者
论文摘要
在量子重力中，我们设想重新归一化是弥合微观模型和可观察量表之间差距的关键工具。对于根据类似于晶格规定的离散化定义的自旋泡沫量子重力，其目标是从更精细的动力学上得出有效的理论，该理论是从更精细的动力学中得出的，在过程中进行了粗糙的系统，从而在过程中进行了粗糙的培训，从而在不同尺度上与物理学相关。在这篇综述中，我将讨论研究自旋泡沫量子重力重新归一化的动机，例如恢复差异形态对称性，并解释如何通过以边界数据为方面来定义背景独立环境中的重新归如此。我将通过研究混凝土示例的粗透明并将其扩展到自旋泡沫设置来激发边界数据的重要性。这自然会导致我采用目前用于重新构成自旋泡沫量子重力的方法，例如张量网络重新归一化以及对最新结果的讨论。我将以未来前景和研究方向的概述结束。
In quantum gravity, we envision renormalization as the key tool for bridging the gap between microscopic models and observable scales. For spin foam quantum gravity, which is defined on a discretisation akin to lattice gauge theories, the goal is to derive an effective theory on a coarser discretisation from the dynamics on the finer one, coarse graining the system in the process and thus relating physics at different scales. In this review I will discuss the motivation for studying renormalization in spin foam quantum gravity, e.g. to restore diffeomorphism symmetry, and explain how to define renormalization in a background independent setting by formulating it in terms of boundary data. I will motivate the importance of the boundary data by studying coarse graining of a concrete example and extending this to the spin foam setting. This will naturally lead me to the methods currently used for renormalizing spin foam quantum gravity, such as tensor network renormalization, and a discussion of recent results. I will conclude with an overview of future prospects and research directions.
