U（1）格点模型在Fourier基下的图式强耦合展开
Diagrammatic Strong Coupling Expansion of U(1) Lattice Model in Fourier Basis
摘要：
在场Fourier空间中研究了U（1）格点规范理论的转移矩阵，其基由格点链上的量子化流组成。基于一个晶格版本的电流守恒，传输矩阵元素被证明是非零的电流状态之间的不同的循环电流内plaquettes。在强耦合的限制，一系列的扩展开发的元素的传输矩阵，其中一个图形表示的基础上发生的虚拟链路和环路电流可以相关联。以$g$作为耦合，展开式中每个虚拟电流的权重为$1/g^2$，通过该权重以任何给定的顺序确定相关图。无论是通过解释，还是通过它们在固定相关项中的作用，这些图都让人想起费曼图中的微扰小耦合展开。
英文摘要：
The transfer-matrix of U(1) lattice gauge theory is investigated in the field Fourier space, the basis of which consists of the quantized currents on lattice links. Based on a lattice version of the current conservation, the transfer-matrix elements are shown to be non-zero only between current-states that differ in circulating currents inside plaquettes. In the strong coupling limit, a series expansion is developed for the elements of the transfer-matrix, to which a diagrammatic representation based on the occurrence of virtual link and loop currents can be associated. With $g$ as the coupling, the weight of each virtual current in the expansion is $1/g^2$, by which at any given order the relevant diagrams are determined. Either by interpretation or through their role in fixing the relevant terms, the diagrams are reminiscent of the Feynman ones of the perturbative small coupling expansions.
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