Nonperturbative QED effective action at finite temperature

Sang Pyo Kim, Hyun Kyu Lee, Yongsung Yoon
2010 Physical Review D  
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
more » ... uced 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.
doi:10.1103/physrevd.82.025016 fatcat:pezfl7grdjdpjlhg7e5ynzaxhu