Covariant Spin Kinetic Theory I: Collisionless Limit

Abstract

We develop a covariant kinetic theory for massive fermions in curved spacetime and external electromagnetic field based on quantum field theory. We derive four coupled semi-classical kinetic equations accurate at $O(\hslash )$, which describe the transports of particle number and spin degrees of freedom. The relation with the chiral kinetic theory is discussed. As an application, we study the spin polarization in the presence of finite Riemann curvature and electromagnetic field in both local and global equilibrium states.

arXiv comment12 pages, erratum applied version

References in corpus (49)

• The Chiral Magnetic Effect
• The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
• Global $\Lambda$ hyperon polarization in nuclear collisions: evidence for the most vortical fluid
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Fluid dynamics of R-charged black holes
• Chiral Kinetic Theory
• Angular momentum conservation in heavy ion collisions at very high energy
• Anomalous Axion Interactions and Topological Currents in Dense Matter
• Hydrodynamics from charged black branes
• Relativistic distribution function for particles with spin at local thermodynamical equilibrium
• Quantum Anomalies in Dense Matter
• Global polarization of $\Lambda$ hyperons in Au+Au collisions at $\sqrt{s_{{}_{NN}}}$ = 200 GeV
• Kinetic theory with Berry curvature from quantum field theories
• Berry curvature and 4-dimensional monopole in relativistic chiral kinetic equation
• Chiral anomaly and local polarization effect from quantum kinetic approach
• Relativistic fluid dynamics with spin
• Study of Lambda polarization in relativistic nuclear collisions at sqrt{s}_NN = 7.7-200 GeV
• Polarization of $\Lambda$ ($\bar{\Lambda }$) hyperons along the beam direction in Au+Au collisions at $\sqrt{s_{{}_{NN}}}$ = 200 GeV
• Observables and amplitudes for spinning particles and black holes
• Lorentz Invariance in Chiral Kinetic Theory
• Vorticity in Heavy-Ion Collisions
• Collective longitudinal polarization in relativistic heavy-ion collisions at very high energy
• Global quark polarization in non-central $A+A$ collisions
• Kinetic theory for massive spin-1/2 particles from the Wigner-function formalism
• Relativistic hydrodynamics for spin-polarized fluids
• Polarization of massive fermions in a vortical fluid
• Fate of spin polarization in a relativistic fluid: An entropy-current analysis
• Relativistic Chiral Kinetic Theory from Quantum Field Theories
• Probing vorticity structure in heavy-ion collisions by local $\Lambda$ polarization
• Thermal vorticity and spin polarization in heavy-ion collisions
• Collisions in Chiral Kinetic Theory
• Relativistic Quantum Kinetic Theory for Massive Fermions and Spin Effects
• Spin tensor and its role in non-equilibrium thermodynamics
• Complete and Consistent Chiral Transport from Wigner Function Formalism
• Axial Kinetic Theory and Spin Transport for Fermions with Arbitrary Mass
• Quark Polarization in a Viscous Quark-Gluon Plasma
• Covariant statistical mechanics and the stress-energy tensor
• Local spin polarization in high energy heavy ion collisions
• Mass Correction to Chiral Kinetic Equations
• Chiral kinetic theory in curved spacetime
• World-line construction of a covariant chiral kinetic theory
• Feed-down effect on $\Lambda$ spin polarization
• Polarization transfer in hyperon decays and its effect in relativistic nuclear collisions
• Azimuthal angle dependence of the longitudinal spin polarization in relativistic heavy ion collisions
• Consistent Relativistic Chiral Kinetic Theory: a derivation from OSEFT
• Chiral Kinetic Theory from Effective Field Theory Revisited
• Chiral Vortical Effect For An Arbitrary Spin
• Extensivity, entropy current, area law and Unruh effect
• Geometrodynamics of electrons in a crystal under position and time dependent deformation

Cited by in corpus (62)

• Generating spin polarization from vorticity through nonlocal collisions
• Relativistic spin hydrodynamics with torsion and linear response theory for spin relaxation
• Spin polarization induced by the hydrodynamic gradients
• Anomalous chiral transports and spin polarization in heavy-ion collisions
• Derivation of the nonlocal collision term in the relativistic Boltzmann equation for massive spin-1/2 particles from quantum field theory
• Reexamination of local spin polarization beyond global equilibrium in relativistic heavy ion collisions
• From Kadanoff--Baym to Boltzmann equations for massive spin-1/2 fermions
• A hydrodynamic study of hyperon spin polarization in relativistic heavy ion collisions
• Local spin alignment of vector mesons in relativistic heavy-ion collisions
• Improved quark coalescence model for spin alignment and polarization of hadrons
• Relativistic dissipative spin hydrodynamics from kinetic theory with a nonlocal collision term
• Analytic solutions of relativistic dissipative spin hydrodynamics with Bjorken expansion
• Local and global polarization of $\Lambda$ hyperons across RHIC-BES energies: the roles of spin hall effect, initial condition and baryon diffusion
• Vorticity and Spin Polarization in Heavy Ion Collisions: Transport Models
• Local Equilibrium Spin Distribution From Detailed Balance
• Exact equilibrium distributions in statistical quantum field theory with rotation and acceleration: scalar field
• Exact equilibrium distributions in statistical quantum field theory with rotation and acceleration: Dirac field
• Vorticity and Spin Polarization --- A Theoretical Perspective
• Polarization in relativistic fluids: a quantum field theoretical derivation
• Pseudo-gauges and relativistic spin hydrodynamics for interacting Dirac and Proca fields
• Spin Polarization Formula for Dirac Fermions at Local Equilibrium
• Quantum kinetic theory for dynamical spin polarization from QED-type interaction
• Quantum Kinetic Theory for Quantum Electrodynamics
• Spin relaxation rate for heavy quarks in weakly coupled QCD plasma
• The causality and stability of relativistic spin-hydrodynamics
• Lorentz-covariant nonlocal collision term for spin-1/2 particles
• Analytic solutions of relativistic dissipative spin hydrodynamics with radial expansion in Gubser flow
• Hydrodynamic helicity polarization in relativistic heavy ion collisions
• Quantum kinetic theory for spin-1/2 fermions in Wigner function formalism
• Semiclassical analysis of Dirac fields on curved spacetime
• Global spin polarization of multistrange hyperons and feed-down effect in heavy-ion collisions
• Shear induced polarization: Collisional contributions
• Spin evolution of massive fermion in QED plasma
• Quantum kinetic theory for spin transport of quarks with background chromo-electromagnetic fields
• Second order chiral kinetic theory under gravity and antiparallel charge-energy flow
• Anomalous magnetohydrodynamics with temperature-dependent electric conductivity and application to the global polarization
• Chiral kinetic theory with small mass corrections and quantum coherent states
• Collisional corrections to spin polarization from quantum kinetic theory using Chapman-Enskog expansion
• Photoproduction of $e^{+}{e}^{-}$ in peripheral isobar collisions
• Photonic spin Hall effect from quantum kinetic theory in curved spacetime
• Polarization Rotation of Chiral Fermions in Vortical Fluid
• Berry phase in the phase space worldline representation: the axial anomaly and classical kinetic theory
• Magneto-vortical Effect in Strong Magnetic Field
• Semiclassical transport equations of Dirac particles in rotating frames
• Quantum Kinetic Theory with Vector and Axial Gauge Fields
• The spin alignment of vector mesons with light front quarks
• Shear-induced anomalous transport and charge asymmetry of triangular flow in heavy-ion collisions
• Nonlinear chiral kinetic theory
• Signatures of the vortical quark-gluon plasma in hadron yields
• Quantum Kinetic Equation for Fluids of Spin-1/2 Fermions
• Vector and Tensor Spin Polarization for Vector Bosons at Local Equilibrium
• Electromagnetic radiation at extreme angular velocity
• Zilch Vortical Effect for Fermions
• Anomalous Hall conductivity of the holographic ${\mathbb{Z}}_2$ Dirac semimetals
• Equal-time kinetic equations in a rotational field
• Second-order spin hydrodynamics from Zubarev's nonequilibrium statistical operator formalism
• Polarization in heavy ion collisions: a theoretical review
• Semi-Classical Spin Hydrodynamics in Flat and Curved Spacetime: Covariance, Linear Waves, and Bjorken Background
• In-medium Electromagnetic Form Factors and Spin Polarizations
• Lepton pair production in ultra-peripheral collisions
• Tensor spin polarization induced by curved freeze-out hypersurface
• Global hyperon polarization and effects of decay feeddown