Quantum kinetic theory for spin transport of quarks with background chromo-electromagnetic fields

Abstract

We derive the quantum kinetic equations for massive and massless quarks coupled with the background chromo-electromagnetic fields from the Wigner-function approach with the $\hslash$ expansion and effective power-counting scheme. For each case, one obtains coupled color-singlet and color-octet kinetic equations, which also involve the scalar and axial-vector components for the charge and spin transport. These kinetic equations delineate entangled evolution of the corresponding distribution functions decomposed in color space. At weak coupling, we derive the close form of the color-singlet kinetic equations for spin transport, which incorporates the diffusion term and the source term that triggers dynamical spin polarization led by correlation functions of color fields. Also, the non-dynamical source term is found in the axial Wigner function. The induced spin polarization and axial charge currents by these source terms are discussed under physical assumptions for color-field correlators in near-equilibrium quark gluon plasmas. In the constant-field limit, we further obtain non-vanishing axial Ward identities, from which we extract the pseudo-scalar condensate for massive quarks at finite temperature.

39 pages, 1 figure, significantly revised and extended, some mistakes corrected, major conclusion unchanged, journal version accepted by JHEP

References in corpus (33)

• The Chiral Magnetic Effect
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Gravitational Anomaly and Transport
• Chiral anomaly and local polarization effect from quantum kinetic approach
• Lorentz Invariance in Chiral Kinetic Theory
• Shear-induced spin polarization in heavy-ion collisions
• Local polarization and isothermal local equilibrium in relativistic heavy ion collisions
• Spin-thermal shear coupling in a relativistic fluid
• Collisions in Chiral Kinetic Theory
• Global $\Lambda$ Polarization in high energy collisions
• Lambda hyperon polarization in relativistic heavy ion collisions from the chiral kinetic approach
• Anomalous Viscosity of an Expanding Quark-Gluon Plasma
• Spin polarization induced by the hydrodynamic gradients
• Chiral transport equation from the quantum Dirac Hamiltonian and the on-shell effective field theory
• From Chiral Kinetic Theory To Relativistic Viscous Spin Hydrodynamics
• Derivation of the nonlocal collision term in the relativistic Boltzmann equation for massive spin-1/2 particles from quantum field theory
• From Kadanoff--Baym to Boltzmann equations for massive spin-1/2 fermions
• Reexamination of local spin polarization beyond global equilibrium in relativistic heavy ion collisions
• Mass Correction to Chiral Kinetic Equations
• Consistent Chiral Kinetic Theory in Weyl Materials: Chiral Magnetic Plasmons
• Anomalous Transport Processes in Anisotropically Expanding Quark-Gluon Plasmas
• Local spin alignment of vector mesons in relativistic heavy-ion collisions
• Improved quark coalescence model for spin alignment and polarization of hadrons
• Local Equilibrium Spin Distribution From Detailed Balance
• Spin Polarization Formula for Dirac Fermions at Local Equilibrium
• Wigner functions and quantum kinetic theory of polarized photons
• Chiral magnetic plasmons in anomalous relativistic matter
• Hydrodynamic helicity polarization in relativistic heavy ion collisions
• Evolution of $\Lambda$ polarization in the hadronic phase of heavy-ion collisions
• Collisional strong-field QED kinetic equations from first principles
• Magnetic field induced neutrino chiral transport near equilibrium
• Parton energy loss in a hard-soft factorized approach
• Quantum Kinetic Theory with Vector and Axial Gauge Fields

Cited by in corpus (14)

• Foundations and Applications of Quantum Kinetic Theory
• Relativistic Spin Magnetohydrodynamics
• Spin alignment of vector mesons by glasma fields
• Spin alignment of vector mesons by second-order hydrodynamic gradients
• Spin polarization and correlation of quarks from glasma
• Shear induced polarization: Collisional contributions
• Collisional corrections to spin polarization from quantum kinetic theory using Chapman-Enskog expansion
• Transverse and longitudinal spin alignment from color fields in heavy ion collisions
• Effective Chiral Magnetic Effect from Neutrino Radiation
• Propagation of spin channel waves
• Vector and Tensor Spin Polarization for Vector Bosons at Local Equilibrium
• Quarkonium Polarization in Medium from Open Quantum Systems and Chromomagnetic Correlators
• In-medium polarization tensor in strong magnetic fields (II): Axial Ward identity at finite temperature and density
• Spin Boltzmann equation for non-relativistic spin-1/2 fermions