Kinetic theory of chiral relativistic plasmas and energy density of their gauge collective excitations

Abstract

We use the recently developed kinetic theory with Berry curvature to describe the fermions and antifermions of a chiral relativistic plasma. We check that this transport approach allows to reproduce the chiral anomaly equation of relativistic quantum field theory at finite temperature. We also check that it allows to describe the anomalous gauge polarization tensor that appears in the Hard Thermal (and/or Dense) effective field theory. We also construct an energy density associated to the gauge collective modes of the chiral relativistic plasma, valid in the case of small couplings or weak fields, which can be the basis for the study of their dynamical evolution.

17 pages, no figures. Version 2: 18 pages, typos corrected, new references included and some clarifications added to the general discussion. To be published in Phys. Rev. D journal

References in corpus (7)

• The Chiral Magnetic Effect
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Testing the chiral magnetic and chiral vortical effects in heavy ion collisions
• Holographic Anomalous Conductivities and the Chiral Magnetic Effect
• Topological spin transport of relativistic electron
• Semiclassical Diagonalization of Quantum Hamiltonian and Equations of Motion with Berry Phase Corrections
• Gradient expansion approach to multiple-band Fermi liquids

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