Photonic processes in Born-Infeld theory
Abstract
We study the processes of photon-photon scattering and photon splitting in a magnetic field in Born-Infeld theory. In both cases we combine the terms from the tree-level Born-Infeld Lagrangian with the usual one-loop QED contributions, where those are approximated by the Euler-Heisenberg Lagrangian, including also the interference terms. For photon-photon scattering we obtain the total cross section in the low-energy approximation. For photon splitting we compute the total absorption coefficient in the hexagon (weak field) approximation, and also show that, due to the non-birefringence property of Born-Infeld theory, the selection rules found by Adler for the QED case continue to hold in this more general setting. We discuss the bounds on the free parameter of Born-Infeld theory that may be obtained from this type of processes.
Cite
@article{arxiv.1310.8410,
title = {Photonic processes in Born-Infeld theory},
author = {Jose Manuel Davila and Christian Schubert and Maria Anabel Trejo},
journal= {arXiv preprint arXiv:1310.8410},
year = {2014}
}
Comments
22 pages, 7 figures, final published version (minor additions and corrections)