Effective Action of Scalar QED in Electric Field Backgrounds

Jul, 2008
11 pages
Published in:
  • Phys.Rev.D 78 (2008) 105013
e-Print:

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Abstract: (arXiv)
We use the evolution operator method to find the one-loop effective action of scalar QED in electric field backgrounds in terms of the Bogoliubov coefficient between the ingoing and the outgoing vacuum. The effective action shows the general relation between the vacuum persistence and the mean number of created pairs for any electric field. We obtain the exact effective action for a constant electric field and a pulsed electric field, E_0 sech^2 (t/tau), and show that the imaginary part correctly yields the vacuum persistence.
  • 11.15.Tk
  • 12.20.Ds
  • 13.40.-f
  • quantum electrodynamics: scalar
  • effective action
  • electric field: background field
  • quantization
  • Hamiltonian formalism
  • fluctuation