150 citations · 1.1k across the 52 of their papers we have counts for
52 papers
Generalized Kazakov-Migdal Models on Graphs via Artin-Ihara -function and Random Partitions
So Matsuura, Kazutoshi Ohta
We introduce Kazakov-Migdal (KM)-type gauge theories on graphs via the Artin-Ihara -function, providing a unified description of the models proposed in prior works. Using harmon…
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…
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…
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…
Graph Zeta Functions and Wilson Loops in Kazakov-Migdal Model
So Matsuura, Kazutoshi Ohta
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 lo…