Local Equilibrium Spin Distribution From Detailed Balance

Abstract

As the core ingredient for spin polarization, the local equilibrium spin distribution function is derived from the detailed balance principle. The kinetic theory for interacting fermionic systems is applied to the Nambu--Jona-Lasinio model at quark level. Under the semi-classical expansion with respect to $\hslash$ and non-perturbative expansion with respect to $N_c$, the kinetic equations for the vector and axial-vector distribution functions are derived with collision terms. It is found that, for an initially unpolarized system, non-zero spin polarization can be generated at the order of $\hslash$ from the coupling between the vector and axial-vector charges. The local equilibrium spin polarization is derived from the requirement of detailed balance. It arises from the thermal vorticity and is orthogonal to the particle momentum.

arXiv comment13 pages

References in corpus (42)

• The Chiral Magnetic Effect
• Chiral Anomaly and Classical Negative Magnetoresistance of Weyl Metals
• Global $\Lambda$ hyperon polarization in nuclear collisions: evidence for the most vortical fluid
• Parity violation in hot QCD: why it can happen, and how to look for it
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• The Quark-Gluon Plasma: Collective Dynamics and Hard Thermal Loops
• Chiral Kinetic Theory
• Angular momentum conservation in heavy ion collisions at very high energy
• Relativistic distribution function for particles with spin at local thermodynamical equilibrium
• Global polarization of $\Lambda$ hyperons in Au+Au collisions at $\sqrt{s_{{}_{NN}}}$ = 200 GeV
• Kinetic theory with Berry curvature from quantum field theories
• Global hyperon polarization at local thermodynamic equilibrium with vorticity, magnetic field and feed-down
• Berry curvature and 4-dimensional monopole in relativistic chiral kinetic equation
• Relativistic fluid dynamics with spin
• Relativistic Hydrodynamics with General Anomalous Charges
• Study of Lambda polarization in relativistic nuclear collisions at sqrt{s}_NN = 7.7-200 GeV
• Polarization probes of vorticity in heavy ion collisions
• Kinetic theory for massive spin-1/2 particles from the Wigner-function formalism
• Vortical fluid and $\Lambda$ spin correlations in high-energy 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
• Evidence of spin-orbital angular momentum interactions in relativistic heavy-ion collisions
• Collisions in Chiral Kinetic Theory
• Global $\Lambda$ Polarization in high energy collisions
• 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
• Local thermodynamical equilibrium and the beta frame for a quantum relativistic fluid
• Covariant statistical mechanics and the stress-energy tensor
• Mass Correction to Chiral Kinetic Equations
• Chiral kinetic theory in curved spacetime
• Effective quantum kinetic theory for spin transport of fermions with collsional effects
• Covariant Spin Kinetic Theory I: Collisionless Limit
• Quantum Kinetic Theory of Spin Polarization of Massive Quarks in Perturbative QCD: Leading Log
• A consistent description of kinetic equation with triangle anomaly
• Chiral Kinetic Theory from Effective Field Theory Revisited
• The chiral vortical effect in Wigner function approach
• Chiral kinetic theory from the on-shell effective theory: derivation of collision terms
• Derivation of transport equations for a strongly interacting Lagrangian in powers of $\hslash$ and $1/N_c$
• Spin chemical potential for relativistic particles with spin 1/2

Cited by in corpus (36)

• Relativistic second-order dissipative spin hydrodynamics from the method of moments
• Reexamination of local spin polarization beyond global equilibrium in relativistic heavy ion collisions
• Foundations and Applications of Quantum Kinetic Theory
• Spin and polarization: a new direction in relativistic heavy ion physics
• Spin polarization dynamics in the Gubser-expanding background
• Relativistic Viscous Hydrodynamics with Angular Momentum
• Relativistic dissipative spin hydrodynamics from kinetic theory with a nonlocal collision term
• Relativistic first-order spin hydrodynamics via the Chapman-Enskog expansion
• Spin alignment of vector mesons by glasma fields
• Exact equilibrium distributions in statistical quantum field theory with rotation and acceleration: Dirac field
• Quantum Kinetic Theory for Quantum Electrodynamics
• Quantum kinetic theory for dynamical spin polarization from QED-type interaction
• Effect of thermal shear on longitudinal spin polarization in a thermal model
• Spin polarization dynamics in the non-boost-invariant background
• Lorentz-covariant nonlocal collision term for spin-1/2 particles
• Chiral Magnetic Effect in Heavy Ion Collisions: The Present and Future
• Spin alignment of vector mesons by second-order hydrodynamic gradients
• Shear induced polarization: Collisional contributions
• Spin polarization and correlation of quarks from glasma
• Spin evolution of massive fermion in QED plasma
• Quantum kinetic theory for spin transport of quarks with background chromo-electromagnetic fields
• Linear mode analysis from spin transport equation
• Lorentz-covariant kinetic theory for massive spin-1/2 particles
• Spin waves in spin hydrodynamics
• The linear mode analysis and spin relaxation
• Collisional corrections to spin polarization from quantum kinetic theory using Chapman-Enskog expansion
• Quantum Kinetic Theory with Vector and Axial Gauge Fields
• Transverse and longitudinal spin alignment from color fields in heavy ion collisions
• Evolution of global polarization in relativistic heavy-ion collisions within a perturbative approach
• Dilepton Helical Production in a Vortical Quark-Gluon Plasma
• Collective dynamics of polarized spin-half fermions in relativistic heavy-ion collisions
• Anisotropic linear waves and breakdown of the momentum expansion in spin magnetohydrodynamics
• Spin Boltzmann equation for non-relativistic spin-1/2 fermions
• Anomalous spin polarization from turbulent color fields
• Study of spin polarization dependence on rapidity, transverse momentum, and azimuthal angle
• Dissipative effects on the propagation of spin modes