QCD Kondo effect: quark matter with heavy-flavor impurities

Abstract

We show that the Kondo effect occurs in light quark matter which contains heavy quarks as impurities. We consider a scattering between a heavy-flavor impurity and a light quark near a Fermi surface which is mediated by gluon-exchange interactions. We find that the scattering amplitude has a logarithmic infrared divergence originating from imperfect cancellation between quark-impurity and hole-impurity scatterings in a loop integral, implying the presence of a strongly coupled regime near the Fermi surface. Renormalization group method is used to find the Kondo scale where a running coupling constant hits a Landau pole. Following an illustration by a simple contact-interaction model, we examine gluon-exchange interactions on the basis of high density QCD.

11 pages, 4 figures. Errors corrected; Results unchanged; Extended discussions inserted in Sec. IV; References added. Published in PRD

References in corpus (1)

• Color superconductivity in dense quark matter

Cited by in corpus (46)

• Novel quantum phenomena induced by strong magnetic fields in heavy-ion collisions
• Heavy Quark Diffusion in Strong Magnetic Fields at Weak Coupling and Implications for Elliptic Flow
• Heavy Hadrons in Nuclear Matter
• D mesons in a magnetic field
• Measurement of Bell-type inequalities and quantum entanglement from $\Lambda$-hyperon spin correlations at high energy colliders
• Heavy meson spectroscopy under strong magnetic field
• Entanglement Entropy in a Holographic Kondo Model
• 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
• Transport coefficients from QCD Kondo effect
• 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
• Interplay between chiral symmetry breaking and the QCD Kondo effect
• Topology and stability of the Kondo phase in quark matter
• Kondo cloud of single heavy quark in cold and dense matter
• Conformal field theory analysis for QCD Kondo effect
• Spectral functions for $\bar{D}$ meson and ${\bar{D}}_0^{\ast }$ meson in nuclear matter with partial restoration of chiral symmetry
• Spin-isospin Kondo effects for ${\Sigma }_c$ and ${\Sigma }_c^{\ast }$ baryons and $\bar{D}$ and ${\bar{D}}^{\ast }$ mesons
• Emergent QCD Kondo effect in two-flavor color superconducting phase
• ABCD of Kondo effect
• Kondo effect driven by chirality imbalance
• QCD Kondo excitons
• Chiral separation effect catalyzed by heavy impurities
• Unveiling the Kondo cloud: unitary RG study of the Kondo model
• 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
• Charge Kondo circuit as a detector for electron-electron interactions in a Luttinger Liquid
• Edge modes and boundary impurities in the anisotropic Heisenberg spin chain
• Heavy-quark spin polarization induced by the Kondo effect in a magnetic field
• On the Sign of Fermion-Mediated Interactions
• Coupled-channel ${\Lambda }_c{K}^{+}-p{D}_s$ Interaction in Flavor $\text{SU}\left(3\right)$ Limit of Lattice QCD
• Dirac Kondo effect under magnetic catalysis
• Analysis of the QCD Kondo phase using random matrices
• Strongly interacting matter in extreme magnetic fields
• Mesic nuclei with a heavy antiquark
• Multi-Dirac and Weyl physics in heavy-fermion systems
• QCD Kondo effect for single heavy quark in chiral-symmetry broken phase
• Current cross-correlation in the Anderson impurity model with exchange interaction
• Quantum impurity models from conformal field theory
• Observation of field-induced single-ion magnetic anisotropy in a multiorbital Kondo alloy $(\mathrm{Lu},\mathrm{Yb}){\mathrm{Rh}}_2{\mathrm{Zn}}_{20}$
• Yu-Shiba-Rusinov states in color superconducting quark matter
• Competing color superconductivity and color Kondo effect in quark matter
• Kondo effect under arbitrary spin-momentum locking