Electric conductivity of hot and dense quark matter in a magnetic field with Landau level resummation via kinetic equations

Abstract

We compute the electric conductivity of quark matter at finite temperature $T$ and quark chemical potential $\mu$ under a magnetic field $B$ beyond the Lowest Landau level approximation. The electric conductivity transverse to $B$ is dominated by the Hall conductivity ${\sigma }_H$. For the longitudinal conductivity ${\sigma }_{\parallel }$, we need to solve kinetic equations. Then, we numerically find that ${\sigma }_{\parallel }$ has only mild dependence on $\mu$ and the quark mass $m_q$. Moreover, ${\sigma }_{\parallel }$ first decreases and then linearly increases as a function of $B$, leading to an intermediate $B$ region which looks consistent with the experimental signature for the chiral magnetic effect. We also point out that ${\sigma }_{\parallel }$ at nonzero $B$ remains within the range of the lattice-QCD estimate at $B=0$.

5 pages, 5 figures

References in corpus (5)

• The Chiral Magnetic Effect
• Spectral functions at small energies and the electrical conductivity in hot, quenched lattice QCD
• Electrical Conductivity of Quark-Gluon Plasma in Strong Magnetic Fields
• Bulk Viscosity of Quark-Gluon Plasma in Strong Magnetic Fields
• Renormalized Linear Kinetic Theory as Derived from Quantum Field Theory - a novel diagrammatic method for computing transport coefficients -

Cited by in corpus (56)

• Extreme matter in electromagnetic fields and rotation
• Lattice study of electromagnetic conductivity of quark-gluon plasma in external magnetic field
• Anisotropic transport properties of Hadron Resonance Gas in magnetic field
• Transport coefficients of hot magnetized QCD matter beyond the lowest Landau level approximation
• Strong-Field Physics in QED and QCD: From Fundamentals to Applications
• New developments in relativistic magnetohydrodynamics
• MagnetoHydrodynamics with chiral anomaly: phases of collective excitations and instabilities
• Axial Ward identity and the Schwinger mechanism -- Applications to the real-time chiral magnetic effect and condensates
• Anisotropic electrical conductivity of magnetized hot quark matter
• Bulk viscosity of a hot QCD/QGP medium in strong magnetic field within relaxation-time approximation
• Chiral kinetic theory from Landau level basis
• Causality and stability in relativistic viscous non-resistive magneto-fluid dynamics
• Dynamics of Hot QCD Matter -- Current Status and Developments
• Conductivities of magnetic quark-gluon plasma at strong coupling
• Heavy quark dynamics in a hot magnetized QCD medium
• Kubo estimation of the electrical conductivity for a hot relativistic fluid in the presence of a magnetic field
• Electrical conductivity and relaxation via colored noise in a hadronic gas
• Cross-conductivity: novel transport coefficients to constrain the hadronic degrees of freedom of nuclear matter
• Impact of longitudinal bulk viscous effects to heavy quark transport in a strongly magnetized hot QCD medium
• Momentum transport properties of a hot and dense QCD matter in a weak magnetic field
• Thermoelectric properties of (an-)isotropic QGP in magnetic fields
• Electric conductivity with the magnetic field and the chiral anomaly in a holographic QCD model
• Medium effects on the electrical and Hall conductivities of a hot and magnetized pion gas
• Thermal and thermoelectric responses of hot QCD medium in time-varying magnetic fields
• Thermoelectric behaviour of hot collisional and magnetized QCD medium from an effective kinetic theory
• Longitudinal conductivity of hot magnetized collisional QCD medium in the inhomogeneous electric field
• HQ Collisional energy loss in a magnetized medium
• Temperature and Strong Magnetic Field Effects in Dense Matter
• Electromagnetic response of hot QCD medium in the presence of background time-varying fields
• Thermal transport in a weakly magnetized hot QCD medium
• Anomalous magnetohydrodynamics with constant anisotropic electric conductivities
• Response of a weakly magnetized hot QCD medium to inhomogeneous electric field
• In-medium polarization tensor in strong magnetic fields (I): Magneto-birefringence at finite temperature and density
• Revisiting relativistic magnetohydrodynamics from quantum electrodynamics
• Quantum version of transport coefficients in Nambu--Jona-Lasinio model at finite temperature and strong magnetic field
• Cumulative effects of collision integral, strong magnetic field, and quasiparticle description on charge and heat transport in thermal QCD medium
• Second-order quark number susceptibility of deconfined QCD matter in the presence of a magnetic field
• Thermoelectric response of a weakly magnetized thermal QCD medium
• Electrical conductivity of hot relativistic plasma in a strong magnetic field
• Meson deformation by magnetic fields in lattice QCD
• Centrality dependence of Electrical and Hall conductivity at RHIC and LHC energies for a Conformal System
• Positive magnetoresistance induced by hydrodynamic fluctuations in chiral media
• Electric and magnetic conductivities in magnetized fermion systems
• Anisotropic charge transport in strongly magnetized relativistic matter
• Analytic solutions for the linearized first-order magnetohydrodynamics and implications for causality and stability
• Photon Self-energy in Magnetized Chiral Plasma from Kinetic Theory
• Color-electric conductivity in a viscous quark-gluon plasma
• Polarization Dynamics in Paramagnet of Charged Quark-Gluon Plasma
• Chiral magnetic effect in the hadronic phase
• Transport phenomena with chiral fermions in strong magnetic fields
• In-medium Electromagnetic Form Factors and Spin Polarizations
• Viscous effects of a hot QGP medium in time dependent magnetic field and their phenomenological significance
• Review of heat and charge transport in strongly magnetized relativistic plasmas
• Physics of strong electromagnetic fields in relativistic heavy-ion collisions
• Quantum field theoretical structure of electrical conductivity of cold and dense fermionic matter in the presence of a magnetic field
• Shear Viscosity of hadronic matter at finite temperature and magnetic field