Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1995-09-29
Nucl.Phys. B464 (1996) 153-188
Physics
High Energy Physics
High Energy Physics - Phenomenology
Latex+FEYNMAN.tex. 5 figures and special files are submitted using Figures
Scientific paper
10.1016/0550-3213(96)00042-9
The thermal self-energy of an electron in a static uniform magnetic field $B$ is calculated to first order in the fine structure constant $\alpha $ and to all orders in $eB$. We use two methods, one based on the Furry picture and another based on Schwinger's proper-time method. As external states we consider relativistic Landau levels with special emphasis on the lowest Landau level. In the high-temperature limit we derive self-consistent dispersion relations for particle and hole excitations, showing the chiral asymmetry caused by the external field. For weak fields, earlier results on the ground- state energy and the anomalous magnetic moment are discussed and compared with the present analysis. In the strong-field limit the appearance of a field-independent imaginary part of the self-energy, related to Landau damping in the $e^{+}e^{-}$ plasma, is pointed out.
Elmfors Per
Persson David
Skagerstam Bo-Sture
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