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Effective action of QED in electric field backgrounds. II. Spatially localized fields
- Authors
- Kim, Sang Pyo; Lee, Hyun Kyu; Yoon, Yongsung
- Issue Date
- Jul-2010
- Publisher
- American Physical Society
- Citation
- Physical Review D - Particles, Fields, Gravitation and Cosmology, v.82, no.2, pp 1 - 6
- Pages
- 6
- Indexed
- SCI
SCIE
SCOPUS
- Volume
- 82
- Number
- 2
- Start Page
- 1
- End Page
- 6
- ISSN
- 1550-7998
1550-2368
- Abstract
- We find the Bogoliubov coefficient from the tunneling boundary condition on charged particles in a static electric field E(0)sech(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 the duality between the space-dependent and time-dependent electric fields of the same form at the leading order of the effective actions.
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