从离散时空到闵可夫斯基空间：基本机制、方法与展望
From Discrete Space-Time to Minkowski Space: Basic Mechanisms, Methods and Perspectives
摘要：
本文综述了离散时空中费米子系统和Minkowski空间中相应系统的最新研究结果。在基本介绍了离散设置后，我们解释了导致离散因果结构出现的自发对称性破缺机制。作为研究离散时空和闵可夫斯基空间之间的过渡的方法，我们描述了一个静态和各向同性时空的晶格模型，概述了真空狄拉克海配置的正则化尾的分析，并介绍了狄拉克海质量的洛伦兹不变作用量。我们提到的方法的连续极限，它允许分析相互作用的系统。开放的问题进行了讨论。
英文摘要：
This survey article reviews recent results on fermion system in discrete space-time and corresponding systems in Minkowski space. After a basic introduction to the discrete setting, we explain a mechanism of spontaneous symmetry breaking which leads to the emergence of a discrete causal structure. As methods to study the transition between discrete space-time and Minkowski space, we describe a lattice model for a static and isotropic space-time, outline the analysis of regularization tails of vacuum Dirac sea configurations, and introduce a Lorentz invariant action for the masses of the Dirac seas. We mention the method of the continuum limit, which allows to analyze interacting systems. Open problems are discussed.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
