| 言語種別 | 英語 |
|---|---|
| 発行・発表の年月 | 2023/09/18 |
| 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 | Gross-Witten-Wadia phase transition in induced QCD on the graph |
| 執筆形態 | 共著 |
| 掲載誌名 | Physical Review D |
| 掲載区分 | 国外 |
| 出版社・発行元 | American Physical Society |
| 巻・号・頁 | 108(054504) |
| 総ページ数 | 18 |
| 著者・共著者 | So Matsuura and Kazutoshi Ohta |
| 概要 | In this paper, we examine a modification of the Kazakov-Migdal (KM) model with gauge group U(Nc), where the adjoint scalar fields in the conventional KM model are replaced by Nf fundamental scalar fields (FKM model). After tuning the coupling constants and eliminating the fundamental scalar fields, the partition function of this model is expressed as an integral of a graph zeta function weighted by unitary matrices. The FKM model on cycle graphs at large Nc exhibits the Gross-Witten-Wadia (GWW) phase transition only when Nf > Nc. In the large Nc limit, we evaluate the free energy of the model on a general graph in two distinct parameter regimes and demonstrate that the FKM model generally consists of multiple phases. The effective action of the FKM model reduces to the standard Wilson action by taking an appropriate scaling limit when the graph consists of plaquettes (fundamental cycles) of the same size, as in the square lattice case. |