Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-07-17
Phys.Rev.D78:105013,2008
Physics
High Energy Physics
High Energy Physics - Theory
RevTex, 13 pages, one figure; title changed, extended to spinor QED as well as scalar QED, references added, renormalied relat
Scientific paper
10.1103/PhysRevD.78.105013
We use the evolution operator method to find the one-loop effective action of scalar and spinor QED in electric field backgrounds in terms of the Bogoliubov coefficient between the ingoing and the outgoing vacua. We obtain the exact one-loop effective action for a Sauter-type electric field, E_0 sech^2 (t/tau), and show that the imaginary part correctly yields the vacuum persistence. The renormalized effective action shows the general relation between the vacuum persistence and the total mean number of created pairs for the constant and the Sauter-type electric field.
Kim Sang Pyo
Lee Hyun Kyu
Yoon Yongsung
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