Electron Thermal Self-Energy in a Magnetic Field

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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9 pages,1 postscript figure using mathfig

Scientific paper

Using the general form of the static energy solutions to the Dirac equation with a magnetic field, we calculate a general self-energy matrix in the Furry-picture. In the limit of high temperatures, but even higher magnetic fields, a self-consistent dispersion relation is solved. In contrast to the high temperature limit, this merely results in a small mass shift. The electron anomalous magnetic moment is calculated. The contribution from thermal fermions is found to be different from the corresponding contribution using perturbation theory and plane-wave external states. In the low temperature limit the self-energy is shown to exhibit de Haas--van Alphen oscillations. In the limit of low temperatures and high densities, the self-energy becomes very large.

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