QED effective action in time dependent electric backgrounds

@article{Dunne1998QEDEA,
  title={QED effective action in time dependent electric backgrounds},
  author={Gerald V. Dunne and Theodore M. Hall},
  journal={Physical Review D},
  year={1998},
  volume={58},
  pages={105022}
}
We apply the resolvent technique to the computation of the QED effective action in time dependent electric field backgrounds. The effective action has both real and imaginary parts, and the imaginary part is related to the pair production probability in such a background. The resolvent technique has been applied previously to spatially inhomogeneous magnetic backgrounds, for which the effective action is real. We explain how dispersion relations connect these two cases, the magnetic case which… Expand
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