91 citations · 992 across the 56 of their papers we have counts for
19 papers · 1 filter
New universality classes of the non-Hermitian Dirac operator in QCD-like theories
Takuya Kanazawa, Tilo Wettig
In non-Hermitian random matrix theory there are three universality classes for local spectral correlations: the Ginibre class and the nonstandard classes and…
Cascade of phase transitions in a planar Dirac material
Takuya Kanazawa, Mario Kieburg, Jacobus J. M. Verbaarschot
We investigate a model of interacting Dirac fermions in dimensions with flavors and colors having the symmetry. In the large-…
Non-Hermitian BCS-BEC crossover of Dirac fermions
Takuya Kanazawa
We investigate chiral symmetry breaking in a model of Dirac fermions with a complexified coupling constant whose imaginary part represents dissipation. We introduce a chiral chemic…
Unitary matrix integral for QCD with real quarks and the GOE-GUE crossover
Takuya Kanazawa
A unitary matrix integral that appears in the low-energy limit of QCD-like theories with quarks in real representations of the gauge group at finite chemical potential is analytica…
Analysis of the QCD Kondo phase using random matrices
Takuya Kanazawa
We propose a novel random matrix model that describes the QCD Kondo phase. The model correctly implements both the chiral symmetry of light quarks and the SU(2) spin symmetry of he…
Chiral random matrix theory for colorful quark-antiquark condensates
Takuya Kanazawa
In QCD at high density, the color-octet quark-antiquark condensate is generally nonzero and dynamically breaks the $\mathrm{SU}(3)_C\t…
Chiral random matrix theory for single-flavor spin-one Cooper pairing
Takuya Kanazawa
We propose a new non-Hermitian chiral random matrix model that describes single-flavor spin-one Cooper pairing of quarks. For three colors the model shows spontaneous breaking of c…
Relativistic Cooper pairing in the microscopic limit of chiral random matrix theory
Takuya Kanazawa
Random matrix theory (RMT) provides a powerful framework for analyzing universal features of strongly coupled physical systems. In quantum chromodynamics (QCD), cold quark matter a…
Quantum distillation in QCD
Takuya Kanazawa, Mithat Ünsal
We propose a grading protocol which assigns global symmetry associated phases to states in the Hilbert space. Without modifying the Hilbert space, this changes the state sum, a pro…
Random matrix approach to three-dimensional QCD with a Chern-Simons term
Takuya Kanazawa, Mario Kieburg, Jacobus J. M. Verbaarschot
We propose a random matrix theory for QCD in three dimensions with a Chern-Simons term at level which spontaneously breaks the flavor symmetry according to U() $\to…
Symmetry Crossover Protecting Chirality in Dirac Spectra
Takuya Kanazawa, Mario Kieburg
We consider a random matrix model in the hard edge limit (local spectral statistics at the origin in the limit of large matrix size) which interpolates between the Gaussian unitary…
Symmetry Transition Preserving Chirality in QCD: A Versatile Random Matrix Model
Takuya Kanazawa, Mario Kieburg
We consider a random matrix model which interpolates between the chiral Gaussian unitary ensemble and the Gaussian unitary ensemble while preserving chiral symmetry. This ensemble…
Complete random matrix classification of SYK models with , and supersymmetry
Takuya Kanazawa, Tilo Wettig
We present a complete symmetry classification of the Sachdev-Ye-Kitaev (SYK) model with , and supersymmetry (SUSY) on the basis of the Altland-Zirnbauer sche…
Phases of circle-compactified QCD with adjoint fermions at finite density
Takuya Kanazawa, Mithat Ünsal, Naoki Yamamoto
We study chemical-potential dependence of confinement and mass gap in QCD with adjoint fermions in spacetime with one spatial compact direction. By calculating the one-loop effecti…
Nonperturbative RG analysis of five-dimensional O(N) models with cubic interactions
Kazuhiko Kamikado, Takuya Kanazawa
We reconsider critical properties of O(N) scalar models with cubic interactions in dimensions using functional renormalization group equations. Working at next-to-leading ord…
Heavy-tailed chiral random matrix theory
Takuya Kanazawa
We study an unconventional chiral random matrix model with a heavy-tailed probabilistic weight. The model is shown to exhibit chiral symmetry breaking with no bilinear condensate,…
U(1) axial symmetry and Dirac spectra in QCD at high temperature
Takuya Kanazawa, Naoki Yamamoto
We derive some exact results concerning the anomalous U(1) symmetry in the chirally symmetric phase of QCD at high temperature. We discuss the importance of topology and finite…
Structure of Lefschetz thimbles in simple fermionic systems
Takuya Kanazawa, Yuya Tanizaki
The Picard-Lefschetz theory offers a promising tool to solve the sign problem in QCD and other field theories with complex path-integral weight. In this paper the Lefschetz-thimble…
Quasi-instantons in QCD with chiral symmetry restoration
Takuya Kanazawa, Naoki Yamamoto
We show, without using semiclassical approximations, that, in high-temperature QCD with chiral symmetry restoration and U(1) axial symmetry breaking, the partition function for suf…