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Phys. Rev. D 61, 085021 (2000) [18 pages]

QED effective action at finite temperature: Two-loop dominance

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Holger Gies*
Institut für Theoretische Physik, Universität Tübingen, 72076 Tübingen, Germany

Received 29 September 1999; published 27 March 2000

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.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.61.085021
DOI:
10.1103/PhysRevD.61.085021
PACS:
12.20.Ds, 11.10.Wx

*Email address: holger.gies@uni-tuebingen.de