Electrical conductivity and Hall conductivity of hot and dense quark gluon plasma in a magnetic field: a quasi particle approach

Abstract

We estimate here the electrical and Hall conductivity using a quasiparticle approach for quark matter. We use a Boltzmann kinetic approach in presence of external magnetic field. We confront the results of model calculations with Lattice QCD simulations for vanishing magnetic field. In general electrical conductivity decreases with magnetic field. The Hall conductivity on the other hand can show a non monotonic behaviour with magnetic field due to an intricate interplay of behaviour of relaxation time and strength of the magnetic field. We argue for vanishing quark chemical potential Hall conductivity vanishes and quark gluon plasma with finite quark chemical potential can show Hall effect. Both electrical conductivity and Hall conductivity increases with increasing quark chemical potential.

15 pages, 7 figures

References in corpus (96)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Microscopic Models for Ultrarelativistic Heavy Ion Collisions
• The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
• Collective flow and viscosity in relativistic heavy-ion collisions
• Estimate of the magnetic field strength in heavy-ion collisions
• Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
• The QCD Equation of State with almost Physical Quark Masses
• From Quantum Field Theory to Hydrodynamics: Transport Coefficients and Effective Kinetic Theory
• Universal properties of bulk viscosity near the QCD phase transition
• Thermal dilepton rate and electrical conductivity: An analysis of vector current correlation functions in quenched lattice QCD
• Spectral functions at small energies and the electrical conductivity in hot, quenched lattice QCD
• Transport Coefficients of Hadronic Matter near $T_c$
• Time and space dependence of electromagnetic field in relativistic heavy-ion collisions
• Quasi-Particle Theory of Shear and Bulk Viscosities of Hadronic Matter
• Electrical conductivity of the quark-gluon plasma across the deconfinement transition
• The Equation of State of Deconfined Matter at Finite Chemical Potential in a Quasiparticle Description
• Generalized Ohm's law for relativistic plasmas
• Electrical conductivity and charge diffusion in thermal QCD from the lattice
• The electrical conductivity and soft photon emissivity of the QCD plasma
• Numerical magneto-hydrodynamics for relativistic nuclear collisions
• Shear Viscosity of a strongly interacting system: Green-Kubo vs. Chapman-Enskog and Relaxation Time Approximation
• Recent thermodynamic results from lattice QCD analyzed within a quasi-particle model
• Transport coefficients from the Nambu-Jona-Lasinio model for $SU(3{)}_f$
• Transport coefficients from the Nambu-Jona-Lasinio model for $SU(3{)}_f$
• From QCD lattice calculations to the equation of state of quark matter
• Electrical Conductivity of Hot QCD Matter
• Synchrotron radiation by fast fermions in heavy-ion collisions
• Bulk viscosity in quasi particle models
• Electric conductivity of the quark-gluon plasma investigated using a perturbative QCD based parton cascade
• Transport coefficients near chiral phase transition
• Shear and bulk viscosities of the gluon plasma in a quasiparticle description
• Hadron Mass Spectrum and the Shear Viscosity to Entropy Density Ratio of Hot Hadronic Matter
• The electrical conductivity of a pion gas
• Electric Conductivity from the solution of the Relativistic Boltzmann Equation
• Longitudinal Conductivity in Strong Magnetic Field in Perturbative QCD: Complete Leading Order
• Resistive dissipative magnetohydrodynamics from the Boltzmann-Vlasov equation
• Non-resistive dissipative magnetohydrodynamics from the Boltzmann equation in the 14-moment approximation
• Photon decay in strong magnetic field in heavy-ion collisions
• Towards flavour diffusion coefficient and electrical conductivity without ultraviolet contamination
• Viscosity in the excluded volume hadron gas model
• Collisional processes of on-shell and off-shell heavy quarks in vacuum and in the Quark-Gluon-Plasma
• Self-consistent quasiparticle model for quark-gluon plasma
• Thermal Conductivity and Chiral Critical Point in Heavy Ion Collisions
• Bulk Viscosity of Quark-Gluon Plasma in Strong Magnetic Fields
• Shear and bulk viscosities of strongly-interacting 'infinite' parton-hadron matter within the parton-hadron-string transport approach
• Dissipative properties of hot and dense hadronic matter in excluded volume hadron resonance gas model
• Diffusion of conserved charges in relativistic heavy ion collisions
• Shear viscosity of a hadron gas and influence of resonance lifetimes on relaxation time
• Calculation of shear viscosity using Green-Kubo relations within a parton cascade
• Viscosity coefficients for hadron and quark-gluon phases
• Effects of magnetic field on the plasma evolution in relativistic heavy-ion collisions
• Description of Hot and Dense Hadron Gas Properties in a New Excluded-Volume model
• Electric and magnetic response of hot QCD matter
• Shear Viscosities from the Chapman-Enskog and the Relaxation Time Approaches
• Comments on quasiparticle models of quark-gluon plasma
• A quasi-particle description of $(2+1)$- flavor lattice QCD equation of state
• Electrical conductivity of a warm neutron star crust in magnetic fields
• Transport coefficients of hot magnetized QCD matter beyond the lowest Landau level approximation
• Quasi-Particle Description of Strongly Interacting Matter: Towards a Foundation
• Ratio of bulk to shear viscosity in a quasigluon plasma: from weak to strong coupling
• Hydrodynamic transport coefficients for the non-conformal quark-gluon plasma from holography
• Transport coefficients of a hot QCD medium and their relative significance in heavy-ion collisions
• Bulk and shear viscosities of hot and dense hadron gas
• Viscosities in the Gluon-Plasma within a Quasiparticle Model
• Ohm's Law for a Relativistic Pair Plasma
• Electrical conductivity and Hall conductivity of hot and dense hadron gas in a magnetic field: a relaxation time approach
• A dynamical quasiparticle approach for the Quark-Gluon-Plasma bulk and transport properties
• Bulk viscosity and the phase transition of the linear sigma model
• Transport coefficients in Polyakov quark meson coupling model: a relaxation time approximation
• Polyakov Loop and Gluon Quasiparticles in Yang-Mills Thermodynamics
• A real-time thermal field theoretical analysis of Kubo-type shear viscosity : Numerical understanding with simple examples
• Shear viscosity due to the Landau damping from quark-pion interaction
• Shear viscosity of pion gas due to $\rho \pi \pi$ and $\sigma \pi \pi$ interactions
• Bulk viscosity of a hot QCD/QGP medium in strong magnetic field within relaxation-time approximation
• Electrical Conductivity of an Anisotropic Quark Gluon Plasma : A Quasiparticle Approach
• Shear viscosity $\eta$ to electrical conductivity ${\sigma }_{el}$ ratio for an anisotropic QGP
• Quasi-particle model for lattice QCD: quark-gluon plasma in heavy ion collisions
• The nucleon thermal width due to pion-baryon loops and its contribution in Shear viscosity
• Covariant kinetic theory for effective fugacity quasi particle model and first order transport coefficients for hot QCD matter
• Electrical and thermal conductivities of hot and dense hadron gas
• Calculations of Shear, Bulk viscosities and Electrical conductivity in Polyakov-Quark-Meson model
• Transport properties of anisotropically expanding quark-gluon plasma within a quasi-particle model
• Thermoelectric effect and Seebeck coefficient for hot and dense hadronic matter
• Bulk and Shear Viscosity in Hagedorn Fluid
• Electrical conductivity of a hot and dense QGP medium in a magnetic field
• Quark Flavour Dependence of the Shear Viscosity in a Quasiparticle Model
• Transport properties of hadronic matter in magnetic field
• Longitudinal conductivity of hot magnetized collisional QCD medium in the inhomogeneous electric field
• Bulk Viscosity of Interacting Hadrons
• QCD thermodynamics at zero and non-zero density
• Comparison of Viscosities from the Chapman-Enskog and Relaxation Time Methods
• Thermodynamics of the Quark-Gluon Plasma in Terms of Quasiparticles and Polyakov Line Condensates
• Transport coefficients of hadronic matter in a van der Walls hadron resonance gas model
• Thermal Relaxation Time in Chemically Non-equilibrated Quark- Gluon Plasma
• A non-abelian quasi-particle model for gluon plasma
• A consistent quasiparticle picture of Quark-Gluon plasma and the velocity of sound

Cited by in corpus (36)

• Anisotropic transport properties of Hadron Resonance Gas in magnetic field
• New developments in relativistic magnetohydrodynamics
• Anisotropic electrical conductivity of magnetized hot quark matter
• Causality and stability in relativistic viscous non-resistive magneto-fluid dynamics
• Magneto-Seebeck coefficient and Nernst coefficient of hot and dense hadron gas
• Dynamical magnetic fields in heavy-ion collisions
• Kubo estimation of the electrical conductivity for a hot relativistic fluid in the presence of a magnetic field
• Quantum expression for the electrical conductivity of massless quark matter and of the hadron resonance gas in the presence of a magnetic field
• One-loop Kubo estimations of the shear and bulk viscous coefficients for hot and magnetized Bosonic and Fermionic systems
• Thermoelectric properties of (an-)isotropic QGP in magnetic fields
• Thermoelectric behaviour of hot collisional and magnetized QCD medium from an effective kinetic theory
• Thermal transport in a weakly magnetized hot QCD medium
• Effect of time-varying electromagnetic field on Wiedemann-Franz law in a hot hadronic matter
• Response of a weakly magnetized hot QCD medium to inhomogeneous electric field
• Impact of chiral asymmetry and magnetic field on passage of an energetic test parton in a QCD medium
• Quantum version of transport coefficients in Nambu--Jona-Lasinio model at finite temperature and strong magnetic field
• Effect of Coriolis Force on Electrical Conductivity Tensor for Rotating Hadron Resonance Gas
• Chirality dependence in charge and heat transport in thermal QCD
• Thermoelectric response of a weakly magnetized thermal QCD medium
• Centrality dependence of Electrical and Hall conductivity at RHIC and LHC energies for a Conformal System
• Electrical conductivity of hot relativistic plasma in a strong magnetic field
• Effect of the Coriolis force on the electrical conductivity of quark matter: A nonrelativistic description
• Anisotropic charge transport in strongly magnetized relativistic matter
• Transport Coefficients of relativistic matter: A detailed formalism with a gross knowledge of their magnitude
• Thermoelectric response of a hot and weakly magnetized anisotropic QCD medium
• Effect of Coriolis Force on Diffusion of D Meson
• Color-electric conductivity in a viscous quark-gluon plasma
• The Rayleigh Bubble in Quark Matter under a Strong Magnetic Field
• Electrical conductivity and shear viscosity of a pion gas in a thermo-magnetic medium
• Order-by-order Anisotropic Transport Coefficients of a Magnetised Fluid: a Chapman-Enskog Approach
• Shear Viscosity and Electrical Conductivity of Rotating Nuclear Medium in Hadron Resonance Gas and Nambu-Jona Lasinio Models
• Possibility of quantum Hall effect in dense quark matter environments: A chiral model approach
• Shear viscosity and electrical conductivity of rotating quark matter in Nambu--Jona-Lasinio Model
• Physics of strong electromagnetic fields in relativistic heavy-ion collisions
• Review of heat and charge transport in strongly magnetized relativistic plasmas
• Quantum field theoretical structure of electrical conductivity of cold and dense fermionic matter in the presence of a magnetic field