Magnetically induced QCD Kondo effect

Abstract

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 novel type of the QCD Kondo effect induced by a strong magnetic field. In addition to the fact that the magnetic field does not affect the color degrees of freedom, two properties caused by the Landau quantization in a strong magnetic field are essential for the "magnetically induced QCD Kondo effect"; (1) dimensional reduction to 1+1-dimensions, and (2) finiteness of the density of states for lowest energy quarks. We demonstrate that, in a strong magnetic field $B$, the scattering amplitude of a massless quark off a heavy quark impurity indeed shows a characteristic behavior of the Kondo effect. The resulting Kondo scale is estimated as ${\Lambda }_{\mathrm{K}}\simeq \sqrt{e_{q}B}{\alpha }_s^{1/3}\exp \{-4\pi /N_c{\alpha }_s\log (4\pi /{\alpha }_s)\}$ where ${\alpha }_s$ and $N_c$ are the fine structure constant of strong interaction and the number of colors in QCD, and $e_q$ is the electric charge of light quarks.

34 pages, 6 figures, version published in PRD

References in corpus (7)

• The Chiral Magnetic Effect
• Heavy Quark Diffusion in Strong Magnetic Fields at Weak Coupling and Implications for Elliptic Flow
• Vacuum birefringence in strong magnetic fields: (II) Complex refractive index from the lowest Landau level
• QCD Kondo effect: quark matter with heavy-flavor impurities
• Magnetic-field Induced Screening Effect and Collective Excitations
• Possible Excitonic Phase of Graphite in the Quantum Limit State
• Euler-Heisenberg-Weiss action for QCD+QED

Cited by in corpus (32)

• Heavy Quark Diffusion in Strong Magnetic Fields at Weak Coupling and Implications for Elliptic Flow
• Heavy Hadrons in Nuclear Matter
• Heavy meson spectroscopy under strong magnetic field
• Transport coefficients from QCD Kondo effect
• Quantum Quenches in a Holographic Kondo Model
• Fermi/non-Fermi mixing in SU($N$) Kondo effect
• Kondo phase diagram of quark matter
• Kondo effect of ${\bar{D}}_s$ and ${\bar{D}}_s^{\ast }$ mesons in nuclear matter
• Magnetic Field Universality of the Kondo Effect Revealed by Thermocurrent Spectroscopy
• Interplay between chiral symmetry breaking and the QCD Kondo effect
• Topology and stability of the Kondo phase in quark matter
• Conformal field theory analysis for QCD Kondo effect
• Emergent QCD Kondo effect in two-flavor color superconducting phase
• Spin-isospin Kondo effects for ${\Sigma }_c$ and ${\Sigma }_c^{\ast }$ baryons and $\bar{D}$ and ${\bar{D}}^{\ast }$ mesons
• Do charged pions condense in a magnetic field with rotation?
• In-medium polarization tensor in strong magnetic fields (I): Magneto-birefringence at finite temperature and density
• Kondo effect driven by chirality imbalance
• Chiral separation effect catalyzed by heavy impurities
• QCD Kondo excitons
• Quarkonium radiative decays from the hadronic Paschen-Back effect
• Two relativistic Kondo effects: Classification with particle and antiparticle impurities
• Kondo effect with Wilson fermions
• Spin-orbital magnetic response of relativistic fermions with band hybridization
• Anatomy of the magnetic catalysis by renormalization-group method
• Edge modes and boundary impurities in the anisotropic Heisenberg spin chain
• Mesons in strong magnetic fields: (I) General analyses
• Heavy-quark spin polarization induced by the Kondo effect in a magnetic field
• Dirac Kondo effect under magnetic catalysis
• Analysis of the QCD Kondo phase using random matrices
• Mesic nuclei with a heavy antiquark
• Current cross-correlation in the Anderson impurity model with exchange interaction
• QCD Kondo effect for single heavy quark in chiral-symmetry broken phase