Foundations and Applications of Quantum Kinetic Theory

Abstract

Many novel quantum phenomena emerge in non-equilibrium relativistic quantum matter under extreme conditions such as strong magnetic fields and rotations. The quantum kinetic theory based on Wigner functions in quantum field theory provides a powerful and effective microscopic description of these quantum phenomena. In this article we review some of recent advances in the quantum kinetic theory and its applications in describing these quantum phenomena.

114 pages, 3 figures; List of acronyms and symbols are added

References in corpus (91)

• The Chiral Magnetic Effect
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Gravitational Anomaly and Transport
• On the Strongly-Interacting Low-Viscosity Matter Created in Relativistic Nuclear Collisions
• Angular momentum conservation in heavy ion collisions at very high energy
• Chiral Magnetic Wave
• Quantum Anomalies in Dense Matter
• Hydrodynamic Models for Heavy Ion Collisions
• Testing the chiral magnetic and chiral vortical effects in heavy ion collisions
• Has the QCD Critical Point been Signaled by Observations at RHIC ?
• Chiral anomaly and local polarization effect from quantum kinetic approach
• Polarization probes of vorticity in heavy ion collisions
• Lorentz Invariance in Chiral Kinetic Theory
• Beam-energy dependence of charge separation along the magnetic field in Au+Au collisions at RHIC
• Collective longitudinal polarization in relativistic heavy-ion collisions at very high energy
• Global quark polarization in non-central $A+A$ collisions
• Relativistic hydrodynamics for heavy-ion collisions
• Charge conservation in RHIC and contributiuons to local parity violation observables
• Fate of spin polarization in a relativistic fluid: An entropy-current analysis
• Schwinger pair production in space- and time-dependent electric fields: Relating the Wigner formalism to quantum kinetic theory
• Numerical magneto-hydrodynamics for relativistic nuclear collisions
• The Sphaleron Rate in SU(N) Gauge Theory
• The chiral magnetic effect in hydrodynamical approach
• Collisions in Chiral Kinetic Theory
• Global $\Lambda$ Polarization in high energy collisions
• Flow Vorticity in Peripheral High Energy Heavy Ion Collisions
• Observation of charge-dependent azimuthal correlations in pPb collisions and its implication for the search for the chiral magnetic effect
• Lambda hyperon polarization in relativistic heavy ion collisions from the chiral kinetic approach
• Testing the Chiral Magnetic Effect with Central U+U collisions
• Anomalous Viscosity of an Expanding Quark-Gluon Plasma
• Notes on chiral hydrodynamics within effective theory approach
• Strain induced Chiral Magnetic Effect in Weyl semimetals
• Holographic Anomalous Conductivities and the Chiral Magnetic Effect
• Chiral transport equation from the quantum Dirac Hamiltonian and the on-shell effective field theory
• Chiral magnetic effect in lattice QCD with a chiral chemical potential
• Holographic nonlinear hydrodynamics from AdS/CFT with multiple/non-Abelian symmetries
• Fluid/gravity model for the chiral magnetic effect
• The ideal relativistic spinning gas: polarization and spectra
• Test the chiral magnetic effect with isobaric collisions
• Experimental searches for the chiral magnetic effect in heavy-ion collisions
• Mass Correction to Chiral Kinetic Equations
• A hydrodynamic study of hyperon spin polarization in relativistic heavy ion collisions
• Resistive dissipative magnetohydrodynamics from the Boltzmann-Vlasov equation
• Spin polarization evolution in a boost invariant hydrodynamical background
• Consistent Chiral Kinetic Theory in Weyl Materials: Chiral Magnetic Plasmons
• Anomalous Transport Processes in Anisotropically Expanding Quark-Gluon Plasmas
• A Possible Higher Order Correction to the chiral Vortical Conductivity in a Gauge Field Plasma
• Non-equilibrium study of the Chiral Magnetic Effect from real-time simulations with dynamical fermions
• Hydrodynamic description of ultrarelativistic heavy-ion collisions
• The Hot QCD White Paper: Exploring the Phases of QCD at RHIC and the LHC
• A new method for the experimental study of topological effects in the quark-gluon plasma
• A consistent description of kinetic equation with triangle anomaly
• Chiral electric separation effect in the quark-gluon plasma
• Chiral Hall Effect and Chiral Electric Waves
• On the Chiral Magnetic Effect in Soft-Wall AdS/QCD
• Chiral hydrodynamics in strong external magnetic fields
• Global $\Lambda$ polarization in moderately relativistic nuclear collisions
• Wigner translations and the observer-dependence of the position of masslesss spinning particles
• Wigner-Souriau translations and Lorentz symmetry of chiral fermions
• Impact of magnetic-field fluctuations on measurements of the chiral magnetic effect in collisions of isobaric nuclei
• Anomalous magnetohydrodynamics with longitudinal boost invariance and chiral magnetic effect
• Quantum kinetic theory for dynamical spin polarization from QED-type interaction
• Effect of thermal shear on longitudinal spin polarization in a thermal model
• Spin relaxation rate for heavy quarks in weakly coupled QCD plasma
• Chiral magnetic plasmons in anomalous relativistic matter
• Spin polarization dynamics in the non-boost-invariant background
• Chiral Magnetic Effect at Weak Coupling with Relaxation Dynamics
• Analytic solutions of relativistic dissipative spin hydrodynamics with radial expansion in Gubser flow
• Study of chiral vortical and magnetic effects in the anomalous transport model
• Hydrodynamic helicity polarization in relativistic heavy ion collisions
• Quantum kinetic theory for spin-1/2 fermions in Wigner function formalism
• Kinetic theory with spin: From massive to massless fermions
• Boost invariant formulation of the chiral kinetic theory
• Schwinger effect in inhomogeneous electric fields
• Spin evolution of massive fermion in QED plasma
• Quantum kinetic theory for spin transport of quarks with background chromo-electromagnetic fields
• Space-average electromagnetic fields and EM anomaly weighted by energy density in heavy-ion collisions
• Massless Limit of Transport Theory for Massive Fermions
• Thermal chiral vortical and magnetic waves: new excitation modes in chiral fluids
• The Chiral Qubit: quantum computing with chiral anomaly
• Anomalous transport from holography: Part I
• Photonic spin Hall effect from quantum kinetic theory in curved spacetime
• Holographic chiral currents in a magnetic field
• Chiral transport in strong fields from holography
• Search for the Chiral Magnetic Effect with Isobar Collisions at $\sqrt{s_{NN}}$ = 200 GeV by the STAR Collaboration at RHIC
• Anomalous plasma: chiral magnetic effect and all that
• Power corrections and gradient expansion in QED transport theory
• Spin Polarization Induced by Inhomogeneous Dynamical Condensate
• Helicity polarization in relativistic heavy ion collisions

Cited by in corpus (35)

• Chiral effects in astrophysics and cosmology
• Strong-Field Physics in QED and QCD: From Fundamentals to Applications
• Spin alignment of vector mesons by glasma fields
• Chiral Magnetic Effect in Heavy Ion Collisions: The Present and Future
• Spin alignment of vector mesons by second-order hydrodynamic gradients
• Semiclassical analysis of Dirac fields on curved spacetime
• Vector meson's spin alignments in high energy reactions
• Shear induced polarization: Collisional contributions
• Spin polarization and correlation of quarks from glasma
• Boost invariant spin hydrodynamics within the first order in derivative expansion
• Anomalous magnetohydrodynamics with temperature-dependent electric conductivity and application to the global polarization
• An introduction to relativistic spin hydrodynamics
• Collisional corrections to spin polarization from quantum kinetic theory using Chapman-Enskog expansion
• Photoproduction of $e^{+}{e}^{-}$ in peripheral isobar collisions
• Transverse and longitudinal spin alignment from color fields in heavy ion collisions
• Nonlinear chiral kinetic theory
• Quantum Kinetic Theory of the Linear Response for Weakly Disordered Multiband Systems
• Semiclassical kinetic theory for systems with non-trivial quantum geometry and the expectation value of physical quantities
• Chiral kinetic theory with self-energy corrections and neutrino spin Hall effect
• Electric and magnetic conductivities in magnetized fermion systems
• Quarkonium Polarization in Medium from Open Quantum Systems and Chromomagnetic Correlators
• Relativistic Quantum Kinetic Theory: Higher order contributions in assisted Schwinger pair production
• Spin alignment of quarkonia in vortical quark-gluon plasma
• Gravito-thermal transports, Onsager reciprocal relation and gravitational Wiedemann-Franz law
• Estimating Longitudinal Polarization of $\Lambda$ and $\bar{\Lambda }$ Hyperons at Relativistic Energies using Hydrodynamic and Transport models
• Nuclear deformation effects in photoproduction of $\rho$ mesons in ultraperipheral isobaric collisions
• On kinetic theories with color and spin from amplitudes
• A Lorentz-violating low-energy model for the bilayer Graphene
• In-medium Electromagnetic Form Factors and Spin Polarizations
• Perturbation theory of rotating scalar fields and vacuum insensitivity to rotation
• Efficiency of dynamos from an autonomous generation of chiral asymmetry
• Spin Boltzmann equation for non-relativistic spin-1/2 fermions
• Lorentz-violating extension of Wigner function formalism and chiral kinetic theory
• Helicity conservation in perfect electromagnetic and chiral fluids
• Anomalous Dynamical Screening of Relativistic Plasma in a Magnetic Field