Chiral kinetic theory from Landau level basis
Shu Lin, Lixin Yang
Abstract
We derive a chiral kinetic theory with Landau level basis, which is valid for slow-varying magnetic field with arbitrary magnitude. We apply the new chiral kinetic theory to calculate the electric conductivity transverse to the magnetic field in a magnetized QED and QCD plasma. Under the lowest Landau level approximation and relaxation time approximation, we find the transverse conductivity is inversely proportional to the relaxation time. We also obtain a frequency-dependent transverse conductivity in response to a time-dependent electric field. We find a high frequency enhancement in this conductivity.
Topics & Concepts
PhysicsLandau quantizationCondensed matter physicsMagnetic fieldKinetic energyConductivityTransverse planeKinetic theoryRelaxation (psychology)Quantum electrodynamicsElectric fieldBasis (linear algebra)Quantum mechanicsTheoretical physicsMathematicsEngineeringGeometrySocial psychologyStructural engineeringPsychologyHigh-Energy Particle Collisions ResearchQuantum, superfluid, helium dynamicsPulsars and Gravitational Waves Research