Planar Quantum Electrodynamics is developed when charged fermions are under the influence of a constant and homogeneous external magnetic field. We compute the cross-length for the scattering of optical/ultraviolet photons by Dirac-Landau electrons.
@article{arxiv.hep-th/0009005,
title = {QED_{2+1}: Compton effect on Dirac-Landau electrons},
author = {J. Mateos Guilarte and M. de la Torre Mayado},
journal= {arXiv preprint arXiv:hep-th/0009005},
year = {2007}
}