Analytic form for the effective Lagrangian of QED and its application to pair production and photon splitting
Abstract
We derive an analytic form for the HeisenbergEuler Lagrangian in the limit where the component of the electric field parallel to the magnetic field is small. We expand these analytic functions to all orders in the field strength (F_{μν}F^{μν}) in the limits of weak and strong fields, and use these functions to estimate the pairproduction rate in arbitrarily strong electric fields and the photonsplitting rate in arbitrarily strong magnetic fields.
 Publication:

Physical Review D
 Pub Date:
 February 1997
 DOI:
 10.1103/PhysRevD.55.2449
 arXiv:
 arXiv:hepth/9607124
 Bibcode:
 1997PhRvD..55.2449H
 Keywords:

 12.20.Ds;
 97.60.Jd;
 98.70.Rz;
 Specific calculations;
 Neutron stars;
 gammaray sources;
 gammaray bursts;
 High Energy Physics  Theory;
 Astrophysics
 EPrint:
 ReVTeX, 9 pages, 4 figures, to be published in Phys. Rev. D