Parity violating quantum kinetic theory in (2+1)-dimensions

Abstract

We study the kinetic theory for a (2+1)-dimensional fermionic system with special emphasis on the parity violating properties associated with the fermion mass. The Wigner function approach is used to derive hydrodynamical transport coefficients to the first spatial derivative order. As a first attempt, the collisions between fermions are neglected. The resulting system is dissipationless. The parity violating Hall electric conductivity has the same temperature and chemical potential dependence as the quantum field theory result at one-loop. Vorticity dependent transport properties, which were not considered before, also emerge naturally in this approach.

ReVTex 4, 12 pages, no figure. Appendix B and some references are added, the discussion in section III about the Wigner function is improved

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Cited by in corpus (12)

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• Electromagnetic fields and anomalous transports in heavy-ion collisions --- A pedagogical review
• Kinetic equations for massive Dirac fermions in electromagnetic field with non-Abelian Berry phase
• Chiral Hall Effect and Chiral Electric Waves
• Quantum kinetic theory for spin-1/2 fermions in Wigner function formalism
• Lepton pair photoproduction in peripheral relativistic heavy-ion collisions
• Chirality Production with Mass Effects-Schwinger Pair Production and the Axial Ward Identity
• Anomalous magnetohydrodynamics with temperature-dependent electric conductivity and application to the global polarization
• Photoproduction of $e^{+}{e}^{-}$ in peripheral isobar collisions
• The quantum kinetic equation and dynamical mass generation in 2+1 Dimensions
• Lepton pair production in ultra-peripheral collisions
• Anomaly-induced edge currents in hydrodynamics with parity anomaly