2021/01/31 by M. J. Neves, Jorge B. de Oliveira, L. P. R. Ospedal +1 · 31 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical electromagnetism #Classical mechanics #Compton scattering #Ionosphere and magnetosphere dynamics #Kinematics #Magnetic field #Nonlinear system #Photon #Physics #Quantum Electrodynamics and Casimir Effect #Quantum electrodynamics #Quantum mechanics #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.104.015006
published in Physical review. D/Physical review. D. 104(1) (American Physical Society) · 13 pages, 9 figures, accepted version in Physical Review D
arxiv created 2021/06/07 · openalex publication_date 2021/07/06 · arxiv updated 2021/07/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Nonlinear electrodynamic models are reassessed in this paper to pursue an investigation of the kinematics of the Compton effect in a magnetic background. Before considering specific models, we start off by presenting a general non-linear Lagrangian built up in terms of the most general Lorentz- and gauge-invariant combinations of the electric and magnetic fields. The extended Maxwell-like equations and the energy-momentum tensor conservation are presented and discussed in their generality. We next expand the fields around a uniform and time-independent electric and magnetic backgrounds up to second order in the propagating wave, and compute dispersion relations which account for the effect of the external fields. We obtain thereby the refraction index and the group velocity for the propagating radiation in different situations. In particular, we focus on the kinematics of the Compton effect in presence of external magnetic fields. This yields constraints that relate the derivatives of the general Lagrangian with respect to the field invariants and the magnetic background under consideration. We carry out our inspection by focusing on some specific nonlinear electrodynamic effective models: Hoffmann-Infeld, Euler-Heisenberg, generalized Born-Infeld and logarithmic.