N. Kanomata

activity

20222026

collaborators

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4 papers · 1 filter

hep-th2025

Relationship between a $Φ^{4}$ matrix model and harmonic oscillator systems

Harald Grosse, Naoyuki Kanomata, Akifumi Sako +1

A Hermitian $Φ^{4}$ matrix model with a Kontsevich-type kinetic term is studied. It was recently discovered that the partition function of this matrix model satisfies the Schrödinger…

hep-th2023

Real symmetric $Φ^{4}$ -matrix model as Calogero-Moser model

Harald Grosse, Naoyuki Kanomata, Akifumi Sako +1

We study a real symmetric $Φ^{4}$ -matrix model whose kinetic term is given by $Tr (E Φ^{2})$ , where $E$ is a positive diagonal matrix without degenerate eigenvalues. We show t…

hep-th2023

Exact Solutions v.s. Perturbative Calculations of Finite $Φ^{3}$ - $Φ^{4}$ Hybrid-Matrix-Model

Naoyuki Kanomata, Akifumi Sako

There is a matrix model corresponding to a scalar field theory called Grosse-Wulkenhaar model, which is renormalizable by adding a harmonic oscillator potential to scalar $Φ^{4}$ t…

hep-th2022

Exact solution of the $Φ_{2}^{3}$ finite matrix model

Naoyuki Kanomata, Akifumi Sako

We find the exact solutions of the $Φ_{2}^{3}$ finite matrix model (Grosse-Wulkenhaar model). In the $Φ_{2}^{3}$ finite matrix model, multipoint correlation functions are expressed…

Relationship between a Φ4 matrix model and harmonic oscillator systems

Real symmetric Φ4-matrix model as Calogero-Moser model

Exact Solutions v.s. Perturbative Calculations of Finite Φ3-Φ4 Hybrid-Matrix-Model

Exact solution of the Φ23​ finite matrix model

Relationship between a $Φ^{4}$ matrix model and harmonic oscillator systems

Real symmetric $Φ^{4}$ -matrix model as Calogero-Moser model

Exact Solutions v.s. Perturbative Calculations of Finite $Φ^{3}$ - $Φ^{4}$ Hybrid-Matrix-Model

Exact solution of the $Φ_{2}^{3}$ finite matrix model