Negative Off-Diagonal Conductivities in a Weakly Coupled Quark Gluon Plasma

Abstract

We calculate the conductivity matrix of a weakly coupled quark-gluon plasma at the leading-log order. By setting all quark chemical potentials to be identical, the diagonal conductivities become degenerate and positive, while the off-diagonal ones become degenerate but negative (or zero when the chemical potential vanishes). This means a potential gradient of a certain fermion flavor can drive backward currents of other flavors. A simple explanation is provided for this seemingly counter intuitive phenomenon. It is speculated that this phenomenon is generic and most easily measured in cold atom experiments.

19 pages, 4 figures

References in corpus (18)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• 200 A GeV Au+Au collisions serve a nearly perfect quark-gluon liquid
• On the Strongly-Interacting Low-Viscosity Matter Created in Relativistic Nuclear Collisions
• Quasi-Particle Theory of Shear and Bulk Viscosities of Hadronic Matter
• Bulk viscosity of QCD matter near the critical temperature
• Synchrotron radiation by fast fermions in heavy-ion collisions
• Axial Current Generation from Electric Field: Chiral Electric Separation Effect
• Thermal Correlators in the ρ channel of two-flavor QCD
• Shear Viscosity to Entropy Density Ratio of QCD below the Deconfinement Temperature
• Leading Order Calculation of Shear Viscosity in Hot Quantum Electrodynamics from Diagrammatic Methods
• QCD Viscosity to Entropy Density Ratio in the Hadronic Phase
• The Bulk Viscosity of a Pion Gas
• Bulk viscosity of strange quark matter: Urca versus non-leptonic processes
• Bulk viscosity in 2SC quark matter
• Bulk viscosity in kaon-condensed color-flavor locked quark matter
• Renormalized Linear Kinetic Theory as Derived from Quantum Field Theory - a novel diagrammatic method for computing transport coefficients -
• Baryon number conservation and enforced electric charge neutrality for bulk viscosity in quark matter
• Shear and Bulk Viscosities of a Weakly Coupled Quark Gluon Plasma with Finite Chemical Potential and Temperature---Leading-Log Results

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• Holographic Chiral Electric Separation Effect
• Anomalous magnetohydrodynamics with longitudinal boost invariance and chiral magnetic effect
• Shear viscosity $\eta$ to electrical conductivity ${\sigma }_{el}$ ratio for an anisotropic QGP
• Causality and stability in relativistic viscous non-resistive magneto-fluid dynamics
• Transport coefficients of two-flavor quark matter from the Kubo formalism
• Towards a full solution of relativistic Boltzmann equation for quark-gluon matter on GPUs
• Anomalous magnetohydrodynamics with temperature-dependent electric conductivity and application to the global polarization
• Viscous Leptons in the Quark Gluon Plasma
• Electromagnetic anomaly in the presence of electric and chiral magnetic conductivities in relativistic heavy-ion collisions