Nonperturbative QED Effective Action at Finite Temperature

Details Nonperturbative QED Effective Action at Finite Temperature Nonperturbative QED Effective Action at Finite Temperature

2010-06-04

arxiv.org/abs/1006.0774v2

Physics

High Energy Physics

High Energy Physics - Theory

RevTex4, 6pages, no figure; replaced by the version to be published in Phys. Rev. D

Scientific paper

We advance a novel method for the finite-temperature effective action for nonequilibrium quantum fields and find the QED effective action in time-dependent electric fields, where charged pairs evolve out of equilibrium. The imaginary part of the effective action consists of thermal loops of the Fermi-Dirac or Bose-Einstein distribution for the initial thermal ensemble weighted with factors for vacuum fluctuations. And the real part of the effective action is determined by the mean number of produced pairs, vacuum polarization, and thermal distribution. The mean number of produced pairs is equal to twice the imaginary part. We explicitly find the finite-temperature effective action in a constant electric field.

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