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)

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• Charge separation induced by P-odd bubbles in QCD matter
• Quantum Anomalies in Dense Matter
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• J/psi Production in Quark-Gluon Plasma
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Cited by in corpus (8)

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• Hydrodynamic helicity polarization in relativistic heavy ion collisions
• Quantum kinetic theory for spin-1/2 fermions in Wigner function formalism
• Kinetic theory with spin: From massive to massless fermions
• Recent developments in chiral and spin polarization effects in heavy-ion collisions
• Nonrelativistic Transport Theory from Vorticity Dependent Quantum Kinetic Equation