Photonic processes in Born-Infeld theory

Understand

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.