QED Effective Action at Finite Temperature: Two-Loop Dominance

Details QED Effective Action at Finite Temperature: Two-Loop Dominance QED Effective Action at Finite Temperature: Two-Loop Dominance

1999-09-24

arxiv.org/abs/hep-ph/9909500v1

Phys.Rev.D61:085021,2000

Physics

High Energy Physics

High Energy Physics - Phenomenology

34 pages, 4 figures, LaTeX

Scientific paper

10.1103/PhysRevD.61.085021

We calculate the two-loop effective action of QED for arbitrary constant electromagnetic fields at finite temperature T in the limit of T much smaller than the electron mass. It is shown that in this regime the two-loop contribution always exceeds the influence of the one-loop part due to the thermal excitation of the internal photon. As an application, we study light propagation and photon splitting in the presence of a magnetic background field at low temperature. We furthermore discover a thermally induced contribution to pair production in electric fields.

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