Transport coefficients from QCD Kondo effect

Abstract

We study the transport coefficients from the QCD Kondo effect in quark matter which contains heavy quarks as impurity particles. We estimate the coupling constant of the interaction between a light quark and a heavy quark at finite density and temperature by using the renormalization group equation up to two-loop order. We also estimate the coupling constant at zero temperature by using the mean-field approximation as non-perturbative treatment. To calculate the transport coefficients, we use the relativistic Boltzmann equation and apply the relaxation time approximation. We calculate the electric resistivity from the relativistic kinetic theory, and the viscosities from the relativistic hydrodynamics. We find that the electric resistivity is enhanced and the shear viscosity is suppressed due to the QCD Kondo effect at low temperature.

20 pages, 8 figures

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Cited by in corpus (25)

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• Effect of magnetic field on the charge and thermal transport properties of hot and dense QCD matter
• Momentum transport properties of a hot and dense QCD matter in a weak magnetic field
• Momentum and its affiliated transport coefficients for a hot QCD matter in a strong magnetic field
• Conformal field theory analysis for QCD Kondo effect
• Emergent QCD Kondo effect in two-flavor color superconducting phase
• Fermi liquid theory for nonlinear transport through a multilevel Anderson impurity
• Spin-isospin Kondo effects for ${\Sigma }_c$ and ${\Sigma }_c^{\ast }$ baryons and $\bar{D}$ and ${\bar{D}}^{\ast }$ mesons
• Viscous properties of hot and dense QCD matter in the presence of a magnetic field
• Kondo effect driven by chirality imbalance
• Current noise and Keldysh vertex function of an Anderson impurity in the Fermi liquid regime
• Chiral separation effect catalyzed by heavy impurities
• QCD Kondo excitons
• Kondo effect with Wilson fermions
• Two relativistic Kondo effects: Classification with particle and antiparticle impurities
• Spin-orbital magnetic response of relativistic fermions with band hybridization
• Heavy-quark spin polarization induced by the Kondo effect in a magnetic field
• Strongly interacting matter in extreme magnetic fields
• Dirac Kondo effect under magnetic catalysis
• Thermoelectric transport and current noise through a multilevel Anderson impurity: Three-body Fermi-liquid corrections in quantum dots and magnetic alloys
• Kondo Temperature Evaluated from Linear Conductance in Magnetic Fields
• Viscous effects of a hot QGP medium in time dependent magnetic field and their phenomenological significance
• Three-body Fermi liquid corrections for an infinite-$U$ SU($N$) Anderson impurity model
• QCD Kondo effect for single heavy quark in chiral-symmetry broken phase
• Yu-Shiba-Rusinov states in color superconducting quark matter