Relativistic charged-boson plasma in a magnetic field. II

Abstract

The polarization tensor is obtained for a system of charged zero-spin bosons and antibosons in the presence of a uniform magnetic field. The zero-field limit of this tensor is displayed and compared with earlier results. The plasma contribution to this general result is reduced and symmetrized making explicit use of the matrix elements calculated from the magnetic Feshbach-Villars spinor wave functions in paper I of the present series. It is explicitly demonstrated that this tensor satisfies all the invariance properties demanded of it. A concise form for the dispersion relation for propagation parallel to the magnetic field is found, as well as the anti-Hermitian parts of the tensor, the screening length, and the long-wavelength and infinite-field limiting forms for the finite-temperature equilibrium pair plasma. In the specific case of the zero-temperature plasma, the dispersion relation is solved for parallel propagation, and an explicit form for the screened electrostatic potential in a large field and the magnetic susceptibility are calculated. Throughout the detailed investigations, comparisons with the corresponding fermion results are given where possible.