Mass Correction to Chiral Kinetic Equations

Abstract

We study fermion mass correction to chiral kinetic equations in electromagnetic fields. Different from the chiral limit where fermion number density is the only independent distribution, the number and spin densities are coupled to each other for massive fermion systems. To the first order in $\hslash$, we derived the quantum correction to the classical on-shell condition and the Boltzmann-type transport equations. To the linear order in the fermion mass, the mass correction does not change the structure of the chiral kinetic equations and behaves like additional collision terms. While the mass correction exists already at classical level in general electromagnetic fields, it is only a first order quantum correction in the study of chiral magnetic effect.

11 pages

References in corpus (8)

• The Chiral Magnetic Effect
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Charge separation induced by P-odd bubbles in QCD matter
• Quantum Anomalies in Dense Matter
• Lorentz Invariance in Chiral Kinetic Theory
• J/psi Production in Quark-Gluon Plasma
• Consistent Chiral Kinetic Theory in Weyl Materials: Chiral Magnetic Plasmons
• Wigner function and kinetic phenomena for chiral plasma in a strong magnetic field

Cited by in corpus (1)

• Improved quark coalescence model for spin alignment and polarization of hadrons