# 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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## References

SHOWING 1-10 OF 25 REFERENCES

### Theory of Functions of a Complex Variable

- Mathematics
- 1968

Volume I, Part 1: Basic Concepts: I.1 Introduction I.2 Complex numbers I.3 Sets and functions. Limits and continuity I.4 Connectedness. Curves and domains I.5. Infinity and stereographic projection…

### Table of Integrals, Series, and Products

- Mathematics
- 1943

Introduction. Elementary Functions. Indefinite Integrals of Elementary Functions. Definite Integrals of Elementary Functions. Indefinite Integrals of Special Functions. Definite Integrals of Special…

### Theory of Functions of a Complex Variable

- MathematicsNature
- 1893

WHAT is the theory of functions about? This question may be heard now and again from a mathematical student; and if, by way of a pattial reply, it be said that the elements of the theory of functions…

### A Table of Integrals

- Mathematics
- 2010

Basic Forms x n dx = 1 n + 1 x n+1 (1) 1 x dx = ln |x| (2) udv = uv − vdu (3) 1 ax + b dx = 1 a ln |ax + b| (4) Integrals of Rational Functions 1 (x + a) 2 dx = −

### Phys

- Rev. D 75, 045013
- 2007

### Phys

- Rep. 487, 1
- 2010

### Phys

- Rev. D 73, 065020
- 2006

### Phys

- Rev. 82, 664
- 1951

### Phys

- Rev. D 46, 3403
- 1992

### Phys

- Rev. D 60, 024007
- 1999