规范理论中轨道空间的分层。非属层的作用
Stratification of the orbit space in gauge theories. The role of nongeneric strata
摘要:
规范理论是一个有约束的理论,因此,物理状态的空间不是流形,而是一个有奇点的分层空间(轨道)。光滑(和广义)连接的地层分类进行审查,以及制定的物理空间作为零集的动量映射。几个重要的功能,非通用地层进行了讨论,并提出了新的结果,这些地层的措施,在基态功能的集中器和作为一个源的多个结构在低洼的激发的重要作用。
英文摘要:
Gauge theory is a theory with constraints and, for that reason, the space of physical states is not a manifold but a stratified space (orbifold) with singularities. The classification of strata for smooth (and generalized) connections is reviewed as well as the formulation of the physical space as the zero set of a momentum map. Several important features of nongeneric strata are discussed and new results are presented suggesting an important role for these strata as concentrators of the measure in ground state functionals and as a source of multiple structures in low-lying excitations.
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