Collisional corrections to spin polarization from quantum kinetic theory using Chapman-Enskog expansion

Abstract

We have investigated the collisional corrections to the spin polarization pseudo-vector, $\delta {\mathcal{P}}^{\mu }$, using quantum kinetic theory in Chapman-Enskog expansion. We derive the spin Boltzmann equation incorporating Møller scattering process. We further consider two distinct scenarios using hard thermal loop approximations for simplification. In scenario (I), the vector charge distribution function is treated as off-equilibrium under the validity domain of gradient expansion. Remarkably, the polarization induced by gradients of thermal chemical potential and shear viscous tensors are modified, but $\delta {\mathcal{P}}_{}^{\mu }$ in this scenario does not depend on the coupling constant. In scenario (II), the vector charge distribution function is assumed to be in local thermal equilibrium. Then collisional corrections $\delta {\mathcal{P}}_{}^{\mu }$ in this scenario are at $\mathcal{O}({\hslash }^2{\partial }^2)$. Additionally, we evaluate the $\delta {\mathcal{P}}^{\mu }$ using relaxation time approach for comparative analysis. Our results establish the theoretical framework necessary for the future numerical investigations on the interaction corrections to spin polarization.

32 pages, 1 figure; version accepted for publication of PRD

References in corpus (112)

• Berry Phase Effects on Electronic Properties
• Anomalous Hall effect
• Global $\Lambda$ hyperon polarization in nuclear collisions: evidence for the most vortical fluid
• Event-by-event generation of electromagnetic fields in heavy-ion collisions
• Decoding the phase structure of QCD via particle production at high energy
• Transport coefficients in high temperature gauge theories: (II) Beyond leading log
• Derivation of transient relativistic fluid dynamics from the Boltzmann equation
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Globally Polarized Quark-gluon Plasma in Non-central A+A Collisions
• The Quark-Gluon Plasma: Collective Dynamics and Hard Thermal Loops
• Lectures on hydrodynamic fluctuations in relativistic theories
• Chiral Kinetic Theory
• Effective Kinetic Theory for High Temperature Gauge Theories
• Relativistic distribution function for particles with spin at local thermodynamical equilibrium
• Kinetic theory with Berry curvature from quantum field theories
• Berry curvature and 4-dimensional monopole in relativistic chiral kinetic equation
• Spin Alignment of Vector Mesons in Non-central A+A Collisions
• 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
• Lorentz Invariance in Chiral Kinetic Theory
• Collective longitudinal polarization in relativistic heavy-ion collisions at very high energy
• Global $\Lambda$ polarization in heavy-ion collisions from a transport model
• Global quark polarization in non-central $A+A$ collisions
• Polarization and Vorticity in the Quark Gluon Plasma
• Kinetic theory for massive spin-1/2 particles from the Wigner-function formalism
• Relativistic hydrodynamics for spin-polarized fluids
• Vortical fluid and $\Lambda$ spin correlations in high-energy heavy-ion collisions
• Shear-induced spin polarization in heavy-ion collisions
• 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
• Local polarization and isothermal local equilibrium in relativistic heavy ion collisions
• Evidence of spin-orbital angular momentum interactions in relativistic heavy-ion collisions
• Probing vorticity structure in heavy-ion collisions by local $\Lambda$ polarization
• Generating spin polarization from vorticity through nonlocal collisions
• Spin-thermal shear coupling in a relativistic fluid
• Thermal vorticity and spin polarization in heavy-ion collisions
• Collisions in Chiral Kinetic Theory
• Global $\Lambda$ Polarization in high energy collisions
• Nonlinear Responses of Chiral Fluids from Kinetic Theory
• Lambda hyperon polarization in relativistic heavy ion collisions from the chiral kinetic approach
• Pattern of Global Spin Alignment of $\varphi$ and $K^{\ast 0}$ mesons in Heavy-Ion Collisions
• Relativistic dissipative spin dynamics in the relaxation time approximation
• Relativistic Quantum Kinetic Theory for Massive Fermions and Spin Effects
• Spin Hydrodynamics and Symmetric Energy-Momentum Tensors -- A current induced by the spin vorticity --
• Hydrodynamics of spin currents
• Axial Kinetic Theory and Spin Transport for Fermions with Arbitrary Mass
• Spin polarization induced by the hydrodynamic gradients
• From Chiral Kinetic Theory To Relativistic Viscous Spin Hydrodynamics
• Non-dissipative second-order transport, spin, and pseudo-gauge transformations in hydrodynamics
• The ideal relativistic fluid limit for a medium with polarization
• What can we learn from global spin alignment of $\varphi$ meson 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
• Dissipative Spin Dynamics in Relativistic Matter
• Global polarization of $\Xi$ and $\Omega$ hyperons in Au+Au collisions at $\sqrt{s_{{}_{NN}}}$ = 200 GeV
• Covariant statistical mechanics and the stress-energy tensor
• Relativistic second-order dissipative spin hydrodynamics from the method of moments
• Spin tensor and pseudo-gauges: from nuclear collisions to gravitational physics
• 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
• Effective quantum kinetic theory for spin transport of fermions with collsional effects
• A hydrodynamic study of hyperon spin polarization in relativistic heavy ion collisions
• A quark coalescence model for polarized vector mesons and baryons
• Spin alignment of vector mesons in heavy-ion collisions
• Derivation of anisotropic dissipative fluid dynamics from the Boltzmann equation
• Covariant Spin Kinetic Theory I: Collisionless Limit
• Foundations and Applications of Quantum Kinetic Theory
• Quantum Kinetic Theory of Spin Polarization of Massive Quarks in Perturbative QCD: Leading Log
• Improved quark coalescence model for spin alignment and polarization of hadrons
• Relativistic Spin Magnetohydrodynamics
• Hydrodynamics of simply spinning black holes & hydrodynamics for spinning quantum fluids
• Measurement of the J/$\psi$ polarization with respect to the event plane in Pb-Pb collisions at the LHC
• Relativistic Viscous Hydrodynamics with Angular Momentum
• Spin and polarization: a new direction in relativistic heavy ion physics
• Sound waves and vortices in a polarized relativistic fluid
• Relativistic dissipative spin hydrodynamics from kinetic theory with a nonlocal collision term
• Analytic solutions of relativistic dissipative spin hydrodynamics with Bjorken expansion
• Perfect-fluid hydrodynamics with constant acceleration along the stream lines and spin polarization
• Relativistic second-order spin hydrodynamics: an entropy-current analysis
• Quark-Gluon Plasmas and Thermalization
• Local and global polarization of $\Lambda$ hyperons across RHIC-BES energies: the roles of spin hall effect, initial condition and baryon diffusion
• Relativistic first-order spin hydrodynamics via the Chapman-Enskog expansion
• Out-of-Equilibrium Chiral Magnetic Effect from Chiral Kinetic Theory
• Holographic spin liquids and Lovelock Chern-Simons gravity
• Spin alignment of vector mesons by glasma fields
• Side-Jump Induced Spin-Orbit Interaction of Chiral Fluids from Kinetic Theory
• Local Equilibrium Spin Distribution From Detailed Balance
• Zilch Vortical Effect, Berry Phase, and Kinetic Theory
• Gyrohydrodynamics: Relativistic spinful fluid with strong vorticity
• Pseudo-gauges and relativistic spin hydrodynamics for interacting Dirac and Proca fields
• Quantum Kinetic Theory for Quantum Electrodynamics
• Spin Polarization Formula for Dirac Fermions at Local Equilibrium
• Quantum kinetic theory for dynamical spin polarization from QED-type interaction
• Wigner functions and quantum kinetic theory of polarized photons
• Spin relaxation rate for heavy quarks in weakly coupled QCD plasma
• Kubo formulae for first-order spin hydrodynamics
• Lorentz-covariant nonlocal collision term for spin-1/2 particles
• Hyperon polarization along the beam direction relative to the second and third harmonic event planes in isobar collisions at $\sqrt{s_{NN}}$ = 200 GeV
• Analytic solutions of relativistic dissipative spin hydrodynamics with radial expansion in Gubser flow
• Damping of spin waves
• Boost invariant formulation of the chiral kinetic theory
• 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
• Lorentz-covariant kinetic theory for massive spin-1/2 particles
• Cross effects in spin hydrodynamics: A revisit Entropy analysis and statistical operator
• Photonic spin Hall effect from quantum kinetic theory in curved spacetime
• The quantum kinetic equation and dynamical mass generation in 2+1 Dimensions
• Chiral kinetic theory with self-energy corrections and neutrino spin Hall effect

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