From the 1 of 5 linked papers with an AI index.
5 papers
Generalized Kazakov-Migdal Models on Graphs via Artin-Ihara -function and Random Partitions
So Matsuura, Kazutoshi Ohta
The authors formulate Kazakov‑Migdal gauge theories on arbitrary graphs via the Artin‑Ihara L‑function, recast the cycle‑graph case as a random‑partition model with the Schur measu…
Fermions and Zeta Function on the Graph
So Matsuura, Kazutoshi Ohta
We propose a novel fermionic model on the graphs. The Dirac operator of the model consists of deformed incidence matrices on the graph and the partition function is given by the in…
Functional Equations and Pole Structure of the Bartholdi Zeta Function
So Matsuura, Kazutoshi Ohta
In this paper, we investigate the Bartholdi zeta function on a connected simple digraph with vertices and edges. We derive a functional equation for the Bartholdi zeta…
Gross-Witten-Wadia Phase Transition in Induced QCD on the Graph
So Matsuura, Kazutoshi Ohta
In this paper, we examine a modification of the Kazakov-Migdal (KM) model with gauge group , where the adjoint scalar fields in the conventional KM model are replaced by $N…
Phases and Duality in Fundamental Kazakov-Migdal Model on the Graph
So Matsuura, Kazutoshi Ohta
We examine the fundamental Kazakov-Migdal (FKM) model on a generic graph, whose partition function is represented by the Ihara zeta function weighted by unitary matrices. The FKM m…