Quantum kinetic theory for spin-1/2 fermions in Wigner function formalism
arXiv:2011.02629 · doi:10.1142/S0217751X21300015
Abstract
We give a brief overview of the kinetic theory for spin-1/2 fermions in Wigner function formulism. The chiral and spin kinetic equations can be derived from equations for Wigner functions. A general Wigner function has 16 components which satisfy 32 coupled equations. For massless fermions, the number of independent equations can be significantly reduced due to the decoupling of left-handed and right-handed particles. It can be proved that out of many components of Wigner functions and their coupled equations, only one kinetic equation for the distribution function is independent. This is called the disentanglement theorem for Wigner functions of chiral fermions. For massive fermions, it turns out that one particle distribution function and three spin distribution functions are independent and satisfy four kinetic equations. Various chiral and spin effects such as chiral magnetic and votical effects, the chiral seperation effect, spin polarization effects can be consistently described in the formalism.
32pages, no figures, published version in IJMPA, more references are added
References in corpus (34)
- The Chiral Magnetic Effect
- Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
- Elliptic and triangular flow in event-by-event (3+1)D viscous hydrodynamics
- Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
- Charge separation induced by P-odd bubbles in QCD matter
- Gravitational Anomaly and Transport
- Angular momentum conservation in heavy ion collisions at very high energy
- Suppression of elliptic flow in a minimally viscous quark-gluon plasma
- Quantum Anomalies in Dense Matter
- Chiral Magnetic conductivity
- Multiplicity scaling in ideal and viscous hydrodynamics
- Chiral anomaly and local polarization effect from quantum kinetic approach
- Relativistic Hydrodynamics with General Anomalous Charges
- Lorentz Invariance in Chiral Kinetic Theory
- Global quark polarization in non-central collisions
- Fate of spin polarization in a relativistic fluid: An entropy-current analysis
- The chiral magnetic effect in hydrodynamical approach
- Collisions in Chiral Kinetic Theory
- Flow Vorticity in Peripheral High Energy Heavy Ion Collisions
- Lambda hyperon polarization in relativistic heavy ion collisions from the chiral kinetic approach
- Holographic Anomalous Conductivities and the Chiral Magnetic Effect
- Chiral transport equation from the quantum Dirac Hamiltonian and the on-shell effective field theory
- Fluid/gravity model for the chiral magnetic effect
- Mass Correction to Chiral Kinetic Equations
- A Possible Higher Order Correction to the chiral Vortical Conductivity in a Gauge Field Plasma
- Dissipative effects from transport and viscous hydrodynamics
- A consistent description of kinetic equation with triangle anomaly
- On the Chiral Magnetic Effect in Soft-Wall AdS/QCD
- Some Field Theoretic Issues Regarding the Chiral Magnetic Effect
- Constructing phase space distributions with internal symmetries
- Study of chiral vortical and magnetic effects in the anomalous transport model
- Holographic Non-Abelian Charged Hydrodynamics from the Dynamics of Null Horizons
- Kinetic theory with spin: From massive to massless fermions
- Massless Limit of Transport Theory for Massive Fermions