SU（2）格点规范理论--不相交电通量环上的局域动力学
SU(2) Lattice Gauge Theory- Local Dynamics on Non-intersecting Electric flux Loops
摘要：
本文用Schwinger玻色子作为格点规范理论的预势，定义了2 + 1维SU（2）格点规范理论的局域连接算符，并计算了它们对连接态的作用。我们开发了一种图解技术，并关联一组（格费曼）规则来计算整个循环动力学图解。物理回路空间被示出为仅包含不相交的回路配置后，解决了曼德尔维约束。最小的元环包含在物理环空间中，其他配置是由一组融合算子对这个基本环状态的作用产生的，使得人们能够通过基本元环与融合变量一起表征任何任意环。因此，完整的Kogut-Susskind哈密顿量和所有可能的不相交的物理回路的动力学制定在这些融合变量。
英文摘要：
We use Schwinger Bosons as prepotentials for lattice gauge theory to define local linking oper- ators and calculate their action on linking states for 2 + 1 dimensional SU(2) lattice gauge theory. We develop a diagrammatic technique and associate a set of (lattice Feynman) rules to compute the entire loop dynamics diagrammatically. The physical loop space is shown to contain only non- intersecting loop configurations after solving the Mandelstam constraint. The smallest plaquette loops are contained in the physical loop space and other configurations are generated by the action of a set of fusion operators on this basic loop states enabling one to charaterize any arbitrary loop by the basic plaquette together with the fusion variables. Consequently, the full Kogut-Susskind Hamiltonian and the dynamics of all possible non-intersecting physical loops are formulated in terms of these fusion variables.
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