QED Effective Action in Magnetic Field Backgrounds and Electromagnetic Duality

Details QED Effective Action in Magnetic Field Backgrounds and Electromagnetic Duality QED Effective Action in Magnetic Field Backgrounds and Electromagnetic Duality

2011-09-06

arxiv.org/abs/1109.1249v1

Phys.Rev.D84:065004,2011

Physics

High Energy Physics

High Energy Physics - Theory

RevTex 8 pages; no figure; the abridged version of arXiv:1105.4382 (Secs. I and IV-VII and Appendix B3) published in Phys. Rev

Scientific paper

In the in-out formalism we advance a method of the inverse scattering matrix for calculating effective actions in pure magnetic field backgrounds. The one-loop effective actions are found in a localized magnetic field of Sauter type and approximately in a general magnetic field by applying the uniform semiclassical approximation. The effective actions exhibit the electromagnetic duality between a constant electric field and a constant magnetic field and between $E(x) = E sech^2 (x/L)$ and $B(x) = B sech^2 (x/L)$.

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