Collisions in Chiral Kinetic Theory

Abstract

Using a covariant formalism, we construct a chiral kinetic theory Lorentz invariant to order $\mathcal{O}(\hslash )$ which includes collisions. We find a new contribution to the particle number current due to the side jumps required by the conservation of angular momentum during collisions. We also find a conserved symmetric stress-energy tensor as well as the $H$-function obeying Boltzmann's $H$-theorem. We demonstrate their use by finding a general equilibrium solution and the values of the anomalous transport coefficients characterizing chiral vortical effect.

5 pages

References in corpus (16)

• Discovery of a Three-dimensional Topological Dirac Semimetal, Na3Bi
• The Chiral Magnetic Effect
• Observation of a topological 3D Dirac semimetal phase in high-mobility Cd3As2
• Chiral Anomaly and Classical Negative Magnetoresistance of Weyl Metals
• Hydrodynamics with Triangle Anomalies
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Fluid dynamics of R-charged black holes
• Chiral Kinetic Theory
• Hydrodynamics from charged black branes
• Kinetic theory with Berry curvature from quantum field theories
• Relativistic Hydrodynamics with General Anomalous Charges
• Lorentz Invariance in Chiral Kinetic Theory
• Wigner translations and the observer-dependence of the position of masslesss spinning particles
• Wigner-Souriau translations and Lorentz symmetry of chiral fermions
• Collective Modes of Chiral Kinetic Theory in Magnetic Field
• Chiral Magnetic Effect at Weak Coupling with Relaxation Dynamics

Cited by in corpus (115)

• Mapping the Phases of Quantum Chromodynamics with Beam Energy Scan
• Electromagnetic fields and anomalous transports in heavy-ion collisions --- A pedagogical review
• QCD thermalization: Ab initio approaches and interdisciplinary connections
• Kinetic theory for massive spin-1/2 particles from the Wigner-function formalism
• Shear-induced spin polarization in heavy-ion collisions
• Relativistic Chiral Kinetic Theory from Quantum Field Theories
• Generating spin polarization from vorticity through nonlocal collisions
• Nonlinear Responses of Chiral Fluids from Kinetic Theory
• Lambda hyperon polarization in relativistic heavy ion collisions from the chiral kinetic approach
• Relativistic Quantum Kinetic Theory for Massive Fermions and Spin Effects
• Complete and Consistent Chiral Transport from Wigner Function Formalism
• Axial Kinetic Theory and Spin Transport for Fermions with Arbitrary Mass
• Spin polarization induced by the hydrodynamic gradients
• Non-dissipative second-order transport, spin, and pseudo-gauge transformations in hydrodynamics
• From Chiral Kinetic Theory To Relativistic Viscous Spin Hydrodynamics
• The ideal relativistic fluid limit for a medium with polarization
• Anomalous chiral transports and spin polarization in heavy-ion collisions
• Chiral transport of neutrinos in supernovae: Neutrino-induced fluid helicity and helical plasma instability
• Derivation of the nonlocal collision term in the relativistic Boltzmann equation for massive spin-1/2 particles from quantum field theory
• Magnetic fields in heavy ion collisions: flow and charge transport
• Spin tensor and pseudo-gauges: from nuclear collisions to gravitational physics
• Reexamination of local spin polarization beyond global equilibrium in relativistic heavy ion collisions
• Chiral kinetic theory in curved spacetime
• Effective quantum kinetic theory for spin transport of fermions with collsional effects
• Spin Polarizations in a Covariant Angular-Momentum-Conserved Chiral Transport Model
• World-line construction of a covariant chiral kinetic theory
• Covariant Spin Kinetic Theory I: Collisionless Limit
• Disentangling covariant Wigner functions for chiral fermions
• Foundations and Applications of Quantum Kinetic Theory
• Quantum Kinetic Theory of Spin Polarization of Massive Quarks in Perturbative QCD: Leading Log
• Sound waves and vortices in a polarized relativistic fluid
• Analytic solutions of relativistic dissipative spin hydrodynamics with Bjorken expansion
• Non-equilibrium Chiral Magnetic/Vortical Effects in Viscous Fluids
• Local and global polarization of $\Lambda$ hyperons across RHIC-BES energies: the roles of spin hall effect, initial condition and baryon diffusion
• Side-Jump Induced Spin-Orbit Interaction of Chiral Fluids from Kinetic Theory
• Consistent Relativistic Chiral Kinetic Theory: a derivation from OSEFT
• Chiral anomaly in Dirac semimetals due to dislocations
• Local Equilibrium Spin Distribution From Detailed Balance
• The relativistic center of mass in field theory with spin
• Chiral Wave-packet Scattering in Weyl Semimetals
• Anomalous transport model study of chiral magnetic effects in heavy ion collisions
• Chiral Kinetic Theory from Effective Field Theory Revisited
• The no-drag frame for anomalous chiral fluid
• Quantum Kinetic Theory for Quantum Electrodynamics
• Quantum kinetic theory for dynamical spin polarization from QED-type interaction
• General thermodynamic equilibrium with axial chemical potential for the free Dirac field
• Wigner functions and quantum kinetic theory of polarized photons
• The chiral vortical effect in Wigner function approach
• Causality and stability in relativistic viscous non-resistive magneto-fluid dynamics
• Chiral Radiation Transport Theory of Neutrinos
• 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
• Chiral kinetic theory from the on-shell effective theory: derivation of collision terms
• Chiral Magnetic Effect in Heavy Ion Collisions: The Present and Future
• Quantum kinetic theory for spin-1/2 fermions in Wigner function formalism
• Second-order dissipative hydrodynamics for plasma with chiral asymmetry and vorticity
• Chiral charge dynamics in Abelian gauge theories at finite temperature
• Kinetic theory with spin: From massive to massless fermions
• Boost invariant formulation of the chiral kinetic theory
• Thermodynamic equilibrium of massless fermions with vorticity, chirality and electromagnetic field
• Chirality Production with Mass Effects-Schwinger Pair Production and the Axial Ward Identity
• Spin evolution of massive fermion in QED plasma
• Quantum Kinetic Equation in the Rotating Frame and Chiral Kinetic Theory
• Quantum kinetic theory for spin transport of quarks with background chromo-electromagnetic fields
• Second-order Charge Currents and Stress Tensor in Chiral System
• Resummation for the Field-theoretical Derivation of the Negative Magnetoresistance
• Hydrodynamic modes in a magnetized chiral plasma with vorticity
• Skin effect as a probe of transport regimes in Weyl semimetals
• Second order chiral kinetic theory under gravity and antiparallel charge-energy flow
• Lorentz-covariant kinetic theory for massive spin-1/2 particles
• From Chiral Kinetic Theory To Spin Hydrodynamics
• Production of a chiral magnetic anomaly with emerging turbulence and mean-field dynamo action
• Non-Equilibrium Quantum Transport of Chiral Fluids from Kinetic Theory
• Primordial magnetic field and kinetic theory with Berry curvature
• Second Order Transport Coefficient from Chiral Anomaly at Weak Coupling: Diagrammatic Resummation
• Causal and stable first-order chiral hydrodynamics
• Anomalous magnetohydrodynamics with temperature-dependent electric conductivity and application to the global polarization
• Eddy magnetization from the chiral Barnett effect
• Chiral kinetic theory with small mass corrections and quantum coherent states
• Simulating chiral anomalies with spin dynamics
• Chiral Magnetic Effect in Heavy Ion Collisions
• Collisional corrections to spin polarization from quantum kinetic theory using Chapman-Enskog expansion
• Wigner function and kinetic theory for massive spin-1/2 particles
• Magnetic field induced neutrino chiral transport near equilibrium
• Photoproduction of $e^{+}{e}^{-}$ in peripheral isobar collisions
• Mode Decomposed Chiral Magnetic Effect and Rotating Fermions
• Photonic spin Hall effect from quantum kinetic theory in curved spacetime
• Anomaly-induced transport phenomena from the imaginary-time formalism
• Magneto-vortical Effect in Strong Magnetic Field
• Berry phase in the phase space worldline representation: the axial anomaly and classical kinetic theory
• Semiclassical transport equations of Dirac particles in rotating frames
• Nonlinear Chiral Plasma Transport in Rotating Coordinates
• Magneto-Transport in a Chiral Fluid from Kinetic Theory
• Magneto-transport in an anomalous fluid with weakly broken symmetries, in weak and strong regime
• Hydrodynamic Excitations from Chiral Kinetic Theory and the Hydrodynamic Frames
• Nonlinear chiral kinetic theory
• Effective Chiral Magnetic Effect from Neutrino Radiation
• Chiral kinetic theory with self-energy corrections and neutrino spin Hall effect
• Relaxation Times for Chiral Transport Phenomena and Spin Polarization in Strongly Coupled Plasma
• Quantum Kinetic Equation for Fluids of Spin-1/2 Fermions
• Recent developments in chiral and spin polarization effects in heavy-ion collisions
• Revisiting angular momentum conservation in transport simulations of intermediate-energy heavy-ion collisions
• Zilch Vortical Effect for Fermions
• Some Features of Semiclassical Chiral Transport in Rotating Frames
• First-order relativistic hydrodynamics with an information current
• Spin Currents of Charged Dirac Particles in Rotating Coordinates
• Conformal anomaly and helicity effects in kinetic theory via scale-dependent coupling
• Chiral transport of neutrinos in supernovae
• Local spin polarizations in relativistic heavy ion collisions
• On kinetic theories with color and spin from amplitudes
• Chiral heat wave in cold Fermi liquid and modified zero sound
• Anomalous spin polarization from turbulent color fields
• Casimir effect in kinetic theory
• Dynamical induced quark spin polarization by magnetic field at the early stage of heavy-ion collisions