Hard thermal loops in a magnetic field and the chiral anomaly
Abstract
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 weakfield ( qB ≪ q^{2}T^{2}) thermal dispersion relations to the vacuum Landau levels when the backgroun field is much stronger than any thermal effects ( qB ≫ q^{2}T^{2}). The selfenergy at finite field strength acquires an imaginary part. The spectral width becomes important for critical field strengths ( qB ≈ q^{2}T^{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.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1997
 DOI:
 10.1016/S05503213(96)006669
 arXiv:
 arXiv:hepph/9608271
 Bibcode:
 1997NuPhB.487..207E
 Keywords:

 High Energy Physics  Phenomenology
 EPrint:
 30 pages, 5 figures, latex