# Random matrix model for the QCD Kondo effect

@article{Kanazawa2020RandomMM, title={Random matrix model for the QCD Kondo effect}, author={Takuya Kanazawa}, journal={arXiv: High Energy Physics - Theory}, year={2020} }

We propose a novel random matrix model that describes the QCD Kondo effect. The model correctly implements both the chiral symmetry of light quarks and the $\mathrm{SU}(2)$ spin symmetry of heavy quarks. We take the large-$N$ limit with $N$ the matrix size and show that the model has three phases: the pure Kondo phase with no chiral condensate, the pure chirally broken phase with no Kondo condensate, and the coexistence phase. The model predicts that the pairing form of the Kondo condensate in…

## 4 Citations

Two relativistic Kondo effects from two HQETs

- Physics
- 2020

We investigate two different types of relativistic Kondo effects, distinguished by heavy-impurity degrees of freedom, by focusing on the energy-momentum dispersion relations of the ground state with…

Heavy-quark spin polarization induced by Kondo effect under magnetic field

- Physics
- 2021

Daiki Suenaga, ∗ Yasufumi Araki, † Kei Suzuki, ‡ and Shigehiro Yasui 4, § Research Center for Nuclear Physics, Osaka University, Ibaraki, 567-0048, Japan Advanced Science Research Center, Japan…

Chiral separation effect catalyzed by heavy impurities

- Physics
- 2021

We investigate the influence of Kondo effect, namely, the nonperturbative effect induced by heavy impurities, on the chiral separation effect (CSE) in quark matter. We employ a simple effective model…

Kondo effect with Wilson fermions

- PhysicsPhysical Review D
- 2021

Tsutomu Ishikawa ID , 2, 3, ∗ Katsumasa Nakayama ID , † and Kei Suzuki ID 5, ‡ The Graduate University for Advanced Studies (SOKENDAI), Tsukuba 305-0801, Japan KEK Theory Center, Institute of…

## References

SHOWING 1-10 OF 88 REFERENCES

Random matrix study of the phase structure of QCD with two colors

- Physics
- 2001

We apply a random matrix model to the study of the phase diagram of QCD with two colors, two flavors, and a small quark mass. Although the effects of temperature are only included schematically, this…

Magnetically induced QCD Kondo effect

- Physics
- 2016

The "QCD Kondo effect" stems from the color exchange interaction in QCD with non-Abelian property, and can be realized in a high-density quark matter containing heavy-quark impurities. We propose a…

RANDOM MATRIX THEORY AND CHIRAL SYMMETRY IN QCD

- Physics
- 2000

▪ Abstract Random matrix theory is a powerful way to describe universal correlations of eigenvalues of complex systems. It also may serve as a schematic model for disorder in quantum systems. In this…

Random matrix model for chiral symmetry breaking and color superconductivity in QCD at finite density

- Physics
- 2000

We consider a random matrix model which describes the competition between chiral symmetry breaking and the formation of quark Cooper pairs in QCD at finite density. We study the evolution of the…

Interplay between chiral symmetry breaking and the QCD Kondo effect

- Physics
- 2017

We investigate the interplay between the (light-light quark) chiral condensate and heavy-light quark condensate induced by the QCD Kondo effect, which is described by an effective Lagrangian with…

Kondo phase diagram of quark matter

- PhysicsNuclear Physics A
- 2019

Abstract We find a novel type of phase, “the Kondo phase,” in a quark matter containing heavy quarks as impurities. This phase allows the QCD Kondo effect to occur between a light quark (ψ) and a…

Topology and stability of the Kondo phase in quark matter

- Physics
- 2017

We investigate properties of the ground state of a light quark matter with heavy quark impurities. This system exhibits the "QCD Kondo effect" where the interaction strength between a light quark…

Universal results from an alternate random-matrix model for QCD with a baryon chemical potential.

- Physics, MedicinePhysical review letters
- 2004

A new non-Hermitian random-matrix model for QCD with a baryon chemical potential that interpolates between the Wigner-Dyson and Ginibre ensembles and can be scaled to remove the effects of the chemical potential from all thermodynamic quantities until the finite density phase transition is reached.

Random matrix theory and spectral sum rules for the Dirac operator in QCD

- Physics
- 1993

Abstract We construct a random matrix model that, in the large- N limit, reduces to the low-energy limit of the QCD partition function put forward by Leutwyler and Smilga. This equivalence holds for…

MATRIX MODELS AND QCD WITH CHEMICAL POTENTIAL

- Physics, Mathematics
- 2007

The random matrix model approach to quantum chromodynamics (QCD) with nonvanishing chemical potential is reviewed. The general concept using global symmetries is introduced, as well as its relation…