Effective action of QED in electric field backgrounds. II. Spatially localized fields

@article{Kim2009EffectiveAO,
  title={Effective action of QED in electric field backgrounds. II. Spatially localized fields},
  author={Sang Pyo Kim and Hyun kyu Lee and Yongsung Yoon},
  journal={Physical Review D},
  year={2009},
  volume={82},
  pages={025015}
}
We find the Bogoliubov coefficient from the tunneling boundary condition on charged particles in a static electric field E{sub 0}sech{sup 2}(z/L) and, using the regularization scheme in Phys. Rev. D 78, 105013 (2008), obtain the exact one-loop effective action in scalar and spinor QED. It is shown that the effective action satisfies the general relation between the vacuum persistence and the mean number of produced pairs. We advance an approximation method for general electric fields and show… 
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