《无事生非》（More Ado About Nothing：The Remarkable Relativistic Vacuum State）
Yet More Ado About Nothing: The Remarkable Relativistic Vacuum State
摘要：
概述了数学物理目前可以说的真空态的相对论量子场论闵可夫斯基空间。随着审查的经典结果，如Reeh-Schlieder定理及其直接和有争议的后果，最近的结果进行了讨论。这些包括真空相关性的性质和真空的纠缠程度，以及由真空状态和位于闵可夫斯基空间某些区域的观测量代数确定的模块化对象编码了一系列显著的物理信息，从理论的动力学和散射行为到外部对称性，甚至时空本身。这些模块化的对象也提供了一个内在的表征真空状态本身，这是一个事实，这是特别相关的标准，以选择物理上重要的参考态的量子场论弯曲的时空搜索。
英文摘要：
An overview is given of what mathematical physics can currently say about the vacuum state for relativistic quantum field theories on Minkowski space. Along with a review of classical results such as the Reeh--Schlieder Theorem and its immediate and controversial consequences, more recent results are discussed. These include the nature of vacuum correlations and the degree of entanglement of the vacuum, as well as the striking fact that the modular objects determined by the vacuum state and algebras of observables localized in certain regions of Minkowski space encode a remarkable range of physical information, from the dynamics and scattering behavior of the theory to the external symmetries and even the space--time itself. These modular objects also provide an intrinsic characterization of the vacuum state itself, a fact which is of particular relevance to the search for criteria to select physically significant reference states for quantum field theories on curved space--times.
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