Massless Limit of Transport Theory for Massive Fermions

Abstract

We studied the $m=0$ limit of different components of Wigner functions for massive fermions. Comparing with the chiral kinetic theory, we separated the vanishing part and non-vanishing part for vector and axial vector components, up to the first order of $\hslash$. Then we discussed the possible physical meaning of the vanishing and non-vanishing parts, and their different behavior at thermal equilibrium.

13 pages, 0 figures, accepted by Chinese Physics C

References in corpus (6)

• The Chiral Magnetic Effect
• Angular momentum conservation in heavy ion collisions at very high energy
• Global quark polarization in non-central $A+A$ collisions
• From Glasma to Quark Gluon Plasma in heavy ion collisions
• Wigner function and kinetic phenomena for chiral plasma in a strong magnetic field
• Event-by-event generation of vorticity in heavy-ion collisions

Cited by in corpus (13)

• From Chiral Kinetic Theory To Relativistic Viscous Spin Hydrodynamics
• Foundations and Applications of Quantum Kinetic Theory
• Spin polarization dynamics in the Gubser-expanding background
• Spin Polarization Formula for Dirac Fermions at Local Equilibrium
• Quantum Kinetic Theory for Quantum Electrodynamics
• Analytic solutions of relativistic dissipative spin hydrodynamics with radial expansion in Gubser flow
• Quantum kinetic theory for spin-1/2 fermions in Wigner function formalism
• Shear induced polarization: Collisional contributions
• Spin evolution of massive fermion in QED plasma
• Berry phase in the phase space worldline representation: the axial anomaly and classical kinetic theory
• Thermodynamics of the system of massive Dirac fermions in a uniform magnetic field
• Quantum Kinetic Theory with Vector and Axial Gauge Fields
• Dilepton Helical Production in a Vortical Quark-Gluon Plasma