Analysis of the QCD Kondo phase using random matrices

Abstract

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 heavy quarks. We analytically 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 the coexistence phase is significantly altered compared to the pure Kondo phase. For each phase, we rigorously derive the low-energy effective theory of Nambu-Goldstone modes and obtain compact closed expressions for the partition function with external sources. We also include a chiral chemical potential into the model and examine the vacuum structure.

arXiv comment16 pages, 2 figures. v2: matches published version

References in corpus (66)

• Random Matrix Theories in Quantum Physics: Common Concepts
• The Chiral Magnetic Effect
• The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
• Heavy Quark Symmetry
• Color superconductivity in dense quark matter
• The phase diagram of dense QCD
• On the Phase Diagram of QCD
• Random matrix theory and spectral sum rules for the Dirac operator in QCD
• The spectrum of the QCD Dirac operator and chiral random matrix theory: the threefold way
• Tunable Kondo Effect in Graphene with Defects
• The Condensed Matter Physics of QCD
• Spectral Density of the QCD Dirac Operator near Zero Virtuality
• Random Matrix Theory and Chiral Symmetry in QCD
• Renormalization-group study of Anderson and Kondo impurities in gapless Fermi systems
• Universality of random matrices in the microscopic limit and the Dirac operator spectrum
• Universal results from an alternate random matrix model for QCD with a baryon chemical potential
• Overscreened multi-channel SU(N) Kondo model : large-N solution and Conformal Field Theory
• The Physics of Kondo Impurities in Graphene
• Phase transitions in the pseudogap Anderson and Kondo models: Critical dimensions, renormalization group, and local-moment criticality
• Microscopic universality in the spectrum of the lattice Dirac operator
• Heavy Hadrons in Nuclear Matter
• The spectrum of the Dirac operator near zero virtuality for $N_c=2$
• Unquenched QCD Dirac Operator Spectra at Nonzero Baryon Chemical Potential
• Finite volume partition functions and Itzykson-Zuber integrals
• The QCD Phase Diagram at Nonzero Temperature, Baryon and Isospin Chemical Potentials in Random Matrix Theory
• Complex Langevin Dynamics for chiral Random Matrix Theory
• Two-flavor lattice QCD simulation in the epsilon-regime with exact chiral symmetry
• Chiral Symmetry Breaking and the Dirac Spectrum at Nonzero Chemical Potential
• Universal Spectral Correlators and Massive Dirac Operators
• Character Expansions, Itzykson-Zuber Integrals, and the QCD Partition Function
• Kondo effect in three-dimensional Dirac and Weyl systems
• Kondo effect in flux phases
• The Complex Laguerre Symplectic Ensemble of Non-Hermitian Matrices
• Effective Lagrangians and Chiral Random Matrix Theory
• Singular values of the Dirac operator in dense QCD-like theories
• Heavy quark dynamics for charm and bottom flavor on Fermi surface at zero temperature
• Matrix Models and QCD with Chemical Potential
• QCD Kondo effect: quark matter with heavy-flavor impurities
• Thimble regularization at work: from toy models to chiral random matrix theories
• Random matrix model for chiral symmetry breaking and color superconductivity in QCD at finite density
• Kondo effect and non-Fermi liquid behavior in Dirac and Weyl semimetals
• Random matrix study of the phase structure of QCD with two colors
• Chiral random matrix theory for two-color QCD at high density
• Complex Langevin Simulation of a Random Matrix Model at Nonzero Chemical Potential
• Diquark and Pion Condensation in Random Matrix Models for two-color QCD
• A magnetic Impurity in a Weyl semimetal
• Universal crossovers and critical dynamics of quantum phase transitions: A renormalization group study of the pseudogap Kondo problem
• Magnetically induced QCD Kondo effect
• Kondo effect in charm/bottom nuclei
• Overscreened Kondo effect, (color) superconductivity and Shiba states in Dirac metals and quark matter
• Gauge cooling for the singular-drift problem in the complex Langevin method --a test in Random Matrix Theory for finite density QCD
• Random matrix theory of unquenched two-colour QCD with nonzero chemical potential
• Kondo phase diagram of quark matter
• Topology and stability of the Kondo phase in quark matter
• Interplay between chiral symmetry breaking and the QCD Kondo effect
• Conformal field theory analysis for QCD Kondo effect
• Emergent QCD Kondo effect in two-flavor color superconducting phase
• Stressed Cooper pairing in QCD at high isospin density: effective Lagrangian and random matrix theory
• Kondo effect driven by chirality imbalance
• QCD at high baryon density in a random matrix model
• QCD Kondo excitons
• A subset solution to the sign problem in random matrix simulations
• Random matrix models for phase diagrams
• Chiral random matrix theory for single-flavor spin-one Cooper pairing
• Relativistic Cooper pairing in the microscopic limit of chiral random matrix theory
• Chiral random matrix theory for colorful quark-antiquark condensates

Cited by in corpus (2)

• Chiral separation effect catalyzed by heavy impurities
• Kondo effect with Wilson fermions