Dielectric response of planar relativistic quantum plasmas

Abstract

We investigate the dielectric response of planar relativistic charged particle-antiparticle plasmas, treating Fermi and Bose plasmas. The conductivity tensor in each case is derived in the self-consistent random phase approximation. The tensors are then evaluated at zero temperature for the case of no external fields, leading to explicit dispersion relations for the electrodynamic modes of the plasma. The longitudinal and transverse modes are in general coupled for plasma layers. This coupling vanishes, however, in the zero field case, allowing "effective" longitudinal and transverse dielectric functions to be defined in terms of components of the conductivity tensor. Solutions to the longit..