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arXiv math-ph/0206035math-phmath.MP
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基于选择准则的广义扇区统一格式。II。自发破缺对称性与量子测量中的一些基本概念

A Unified Scheme for Generalized Sectors based on Selection Criteria. II. Spontaneously broken symmetries and some basic notions in quantum measurements

I. Ojima

摘要:

基于量子物理学中相关态选择准则的概念,我们继续分析了处理广义超选择扇区的统一方案,推广了Doplicer-Roberts超选择理论,恢复了场代数和规范群(第一类)从群不变观测量的数据到自发对称性破缺的情况:利用所提出的机制,可以清楚地阐明对称性自发破缺理论的基本结构特征,如由相应的齐次空间的变量参数化的退化真空,Goldstone模和凝聚.

英文摘要:

Continuing the analysis in a unified scheme for treating generalized superselection sectors based upon the notion of selection criteria for states of relevance in quantum physics, we extend the Doplicher-Roberts superselection theory 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: in use of the machinery proposed, the basic structural features of the theory with spontaneously broken symmetry, are clarified in a clear-cut way, such as the degenerate vacua parametrized by the variable belonging to the relevant homogeneous space, the Goldstone modes and condensates.

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