基于选择准则的广义扇区统一格式。I.热情况、不破对称性和分类范畴概念的准则
A Unified Scheme for Generalized Sectors based on Selection Criteria. I. Thermal situations, unbroken symmetries and criteria as classifying categorical adjunctions
摘要：
基于选择准则的概念，本文提出了一个统一的处理广义超选择扇区的方案，用以描述量子物理中各个特定领域的相关态，从内部对称性未破缺和自发破缺的真空相对论量子场，到平衡态和非平衡态，再到测量过程中的一些基本方面。这是借助于\textit{c} $\to$ \textit{q}和\textit{q} $\to$ \textit{c}信道来实现的，前者确定要被选择的状态和要由定义为构成超选择扇区的中心的频谱的序参量参数化的状态，而后者作为分类图提供根据序参量的所选状态的物理解释。这个公式扩展了传统的多普利歇-罗伯茨构造方法的适用范围，用于从群不变观测量的数据中恢复场代数和规范群（第一类）到具有自发对称性击穿的情况，这将在随后的论文中报道。
英文摘要：
A unified scheme for treating generalized superselection sectors is proposed on the basis of the notion of selection criteria to characterize states of relevance to each specific domain in quantum physics, ranging from the relativistic quantum fields in the vacuum situations with unbroken and spontaneously broken internal symmetries, through equilibrium and non-equilibrium states to the some basic aspects in measurement processes. This is achieved by the help of \textit{c} $\to$ \textit{q} and \textit{q} $\to$ \textit{c} channels, the former of which determines the states to be selected and to be parametrized by the order parameters defined as the spectrum of the centre constituting the superselection sectors, and the latter of which provides, as classifying maps, the physical interpretations of selected states in terms of order parameters. This formulation extends the traditional range of applicability of the Doplicher-Roberts construction method for recovering the field algebra and the gauge group (of the first kind) from the data of group invariant observables to the situations with spontaneous symmetry breakdown, as will be reported in a succeeding paper.
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。
