| 言語種別 | 英語 |
|---|---|
| 発行・発表の年月 | 2022/11 |
| 形態種別 | 【論文】研究論文（学術雑誌）＜査読あり＞ |
| 査読 | 査読あり |
| 標題 | Graph Zeta Functions and Wilson Loops in Kazakov-Migdal Model |
| 執筆形態 | 共著 |
| 掲載誌名 | Progress of Theoretical and Experimental Physics |
| 掲載区分 | 国外 |
| 巻・号・頁 | 2022(12),123B03 |
| 著者・共著者 | So Matsuura and Kazutoshi Ohta |
| 概要 | In this paper, we consider an extended Kazakov-Migdal model defined on an arbitrary graph. The partition function of the model, which is expressed as the summation of all Wilson loops on the graph, turns out to be represented by the Bartholdi zeta function weighted by unitary matrices on the edges of the graph. The partition function on the cycle graph at finite N is expressed by the generating function of the generalized Catalan numbers. The partition function on an arbitrary graph can be exactly evaluated at large N, which is expressed as an infinite product of a kind of deformed Ihara zeta function. |
| DOI | https://doi.org/10.1093/ptep/ptac146 |
| arXiv ID | arXiv:2208.14032 |