Anomalous Maxwell equations for inhomogeneous chiral plasma

Abstract

Using the chiral kinetic theory we derive the electric and chiral current densities in inhomogeneous relativistic plasma. We also derive equations for the electric and chiral charge chemical potentials that close the Maxwell equations in such a plasma. The analysis is done in the regimes with and without a drift of the plasma as a whole. In addition to the currents present in the homogeneous plasma (Hall current, chiral magnetic, chiral separation, and chiral electric separation effects, as well as Ohm's current) we derive several new terms associated with inhomogeneities of the plasma. Apart from various diffusion-like terms, we find also new dissipation-less terms that are independent of relaxation time. Their origin can be traced to the Berry curvature modifications of the kinetic theory.

arXiv comment16 pages; published version

References in corpus (48)

• Anomalous Hall effect
• The Chiral Magnetic Effect
• Chiral Anomaly and Classical Negative Magnetoresistance of Weyl Metals
• Magnetic Fields in the Early Universe
• Hydrodynamics with Triangle Anomalies
• Transport coefficients in high temperature gauge theories: (II) Beyond leading log
• Dirac Fermions in Solids - from High Tc cuprates and Graphene to Topological Insulators and Weyl Semimetals
• Berry phase correction to electron density of states in solids
• Chiral Kinetic Theory
• Primordial Magnetic Fields, Right Electrons, and the Abelian Anomaly
• Anomalous Axion Interactions and Topological Currents in Dense Matter
• Chiral Magnetic Wave
• The Magnetized Universe
• Primordial Hypermagnetic Fields and Triangle Anomaly
• Kinetic theory with Berry curvature from quantum field theories
• Electromagnetic fields and anomalous transports in heavy-ion collisions --- A pedagogical review
• 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
• Relativistic Hydrodynamics with General Anomalous Charges
• Effective field theory for hydrodynamics: thermodynamics, and the derivative expansion
• Self-consistent evolution of magnetic fields and chiral asymmetry in the early Universe
• Lorentz Invariance in Chiral Kinetic Theory
• Topologically induced local P and CP violation in QCD x QED
• Universality of transport properties in equilibrium, Goldstone theorem and chiral anomaly
• The chiral magnetic effect in hydrodynamical approach
• Berry phase correction to electron density in solids and "exotic" dynamics
• Primordial Magnetic Fields
• Chiral transport equation from the quantum Dirac Hamiltonian and the on-shell effective field theory
• Axial Current Generation from Electric Field: Chiral Electric Separation Effect
• Chiral Effects and Cosmic Magnetic Fields
• Fluid/gravity model for the chiral magnetic effect
• Self-similar inverse cascade of magnetic helicity driven by the chiral anomaly
• Anomalous transport coefficients from Kubo formulas in Holography
• Anomalous transport effects and possible environmental symmetry "violation" in heavy ion collisions
• Magnetohydrodynamics of Chiral Relativistic Fluids
• Dynamical evolution of the chiral magnetic effect: Applications to the quark-gluon plasma
• Chiral electric separation effect in the quark-gluon plasma
• Chiral Hall Effect and Chiral Electric Waves
• Holographic Gravitational Anomaly in First and Second Order Hydrodynamics
• Scaling laws in decaying helical hydromagnetic turbulence
• Numerical study of chiral plasma instability within the classical statistical field theory approach
• Holographic Chiral Electric Separation Effect
• Nonlinear Chiral Transport Phenomena
• Chiral Magnetic Effect at Weak Coupling with Relaxation Dynamics
• Anomalous Magnetohydrodynamics
• Second-order partition function of a non-interacting chiral fluid in 3+1 dimensions
• The Chiral MagnetoHydroDynamics of QCD fluid at RHIC and LHC
• From the chiral magnetic wave to the charge dependence of elliptic flow

Cited by in corpus (56)

• Nonlinear Responses of Chiral Fluids from Kinetic Theory
• Electrical Conductivity of Quark-Gluon Plasma in Strong Magnetic Fields
• Evolution of the Baryon Asymmetry through the Electroweak Crossover in the Presence of a Helical Magnetic Field
• Foundations and Applications of Quantum Kinetic Theory
• Backreaction of electromagnetic fields and the Schwinger effect in pseudoscalar inflation magnetogenesis
• Effect of intense magnetic fields on reduced-MHD evolution in $\sqrt{s_{\mathrm{NN}}}$ = 200 GeV Au+Au collisions
• Scaling laws in chiral hydrodynamic turbulence
• Chiral magnetic effect and anomalous transport from real-time lattice simulations
• Non-equilibrium Chiral Magnetic/Vortical Effects in Viscous Fluids
• Magnetotransport in multi-Weyl semimetals: A kinetic theory approach
• Influence of backreaction of electric fields and Schwinger effect on inflationary magnetogenesis
• Numerical study of chiral plasma instability within the classical statistical field theory approach
• Chiral Kinetic Theory from Effective Field Theory Revisited
• Implications of the isobar run results for chiral magnetic effect in heavy ion collisions
• Nonlinear Chiral Transport Phenomena
• Chiral kinetic theory from Landau level basis
• Gluon Spectrum in Quark-Gluon Plasma under Strong Magnetic Fields
• Energy Conservation and the Chiral Magnetic Effect
• Anomaly-driven inverse cascade and inhomogeneities in a magnetized chiral plasma in the early Universe
• Second-order dissipative hydrodynamics for plasma with chiral asymmetry and vorticity
• Evolution of the Primordial Axial Charge across Cosmic Times
• Magnetogenesis during inflation and preheating in the Starobinsky model
• Drag suppression in anomalous chiral media
• Boost invariant formulation of the chiral kinetic theory
• Chiral fermion asymmetry in high-energy plasma simulations
• Chirality Production with Mass Effects-Schwinger Pair Production and the Axial Ward Identity
• Generation of hypermagnetic helicity and leptogenesis in early universe
• Equilibration of the chiral asymmetry due to finite electron mass in electron-positron plasma
• Medium effects on the electrical and Hall conductivities of a hot and magnetized pion gas
• Production of a chiral magnetic anomaly with emerging turbulence and mean-field dynamo action
• Asymmetric Dark Matter and Baryogenesis from Pseudoscalar Inflation
• Viable inflationary magnetogenesis with helical coupling
• Anomalous magnetohydrodynamics with temperature-dependent electric conductivity and application to the global polarization
• Model-independent constraints in inflationary magnetogenesis
• Chiral magnetic response to arbitrary axial imbalance
• Magnetic fields and chiral asymmetry in the early hot universe
• Fundamental Implications of Intergalactic Magnetic Field Observations
• Anomalous transport from holography: Part II
• Berry phase in the phase space worldline representation: the axial anomaly and classical kinetic theory
• Nonlinear Chiral Transport in Dirac Semimetals
• Anomaly-induced transport phenomena from the imaginary-time formalism
• Magnetic field-dependent electric charge transport in hadronic medium at finite temperature
• Gradient resummation for nonlinear chiral transport: an insight from holography
• Nonlinear Chiral Plasma Transport in Rotating Coordinates
• Chiral electric separation effect in Weyl semimetals
• Nonlinear chiral kinetic theory
• Holographic Charged Fluid with Chiral Electric Separation Effect
• Electric and magnetic conductivities in magnetized fermion systems
• Photon Self-energy in Magnetized Chiral Plasma from Kinetic Theory
• Abelian and non-Abelian Berry curvatures in lattice QCD
• Generation of the relic neutrino asymmetry in a hot plasma of the early Universe
• Electrical conductivity and shear viscosity of a pion gas in a thermo-magnetic medium
• Magnetic monopole in a chiral plasma: chiral dyon
• Magneto-conductivity and CME in Dirac semimetals from Keldysh technique in Landau levels basis
• Generating Seed magnetic field à la Chiral Biermann battery
• Dynamical induced quark spin polarization by magnetic field at the early stage of heavy-ion collisions