Hard thermal loops in a magnetic field and the chiral anomaly

Details Hard thermal loops in a magnetic field and the chiral anomaly Hard thermal loops in a magnetic field and the chiral anomaly

1996-08-08

arxiv.org/abs/hep-ph/9608271v1

Nucl.Phys. B487 (1997) 207-230

Physics

High Energy Physics

High Energy Physics - Phenomenology

30 pages, 5 figures, latex

Scientific paper

10.1016/S0550-3213(96)00666-9

The fermionic dispersion relation in the presence of a background magnetic field and a high temperature QED plasma is calculated exactly in the external field, using the Hard Thermal Loop effective action. As the field strength increases there is a smooth transition from the weak-field ($qB\ll q^2T^2$) thermal dispersion relations to the vacuum Landau levels when the background field is much stronger than any thermal effects ($qB\gg q^2T^2$). The self-energy at finite field strength acquires an imaginary part. The spectral width becomes important for critical field strengths ($qB \sim q^2T^2$), necessitating the use of the full spectral function. It is shown that the spectral function satisfies the usual condition of normalization and causality. Using the exact spectral function I also show that the production of chirality in an external electromagnetic field at high temperature is unaffected by the presence of the thermal masses of the fermions.

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