Abstract
Accurate dispersion relations are fundamental in the evaluation of many astrophysical processes such as, for example, heat loss by neutrino emission. In this paper, the parallel propagating wave modes of a magnetized, degenerate, electron gas are evaluated exactly using the S-matrix form of the linear response tensor (for a relativistic quantum magnetized electron gas) and the vertex formalism. The modes are then discussed in terms of the dissipative regions in which they occur. In addition to analogous modes to the unmagnetized case, there also exist doublet modes due to the logarithmic singularites that occur in the dissipative regimes of both the longitudinal and transverse dispersion relations and modes above the gyromagnetic thresholds for one of the transverse components. These additional modes only appear over a restricted range of wave numbers and are unique to the magnetized case.
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