Introductory Notes on Non‐linear Electrodynamics and its Applications

  title={Introductory Notes on Non‐linear Electrodynamics and its Applications},
  author={Dmitri Sorokin},
  journal={Fortschritte der Physik},
  • D. Sorokin
  • Published 22 December 2021
  • Physics
  • Fortschritte der Physik
In 1933-1934 Born and Infeld constructed the first non-linear generalization of Maxwell’s electrodynamics that turned out to be a remarkable theory in many respects. In 1935 Heisenberg and Euler computed a complete effective action describing non-linear corrections to Maxwell’s theory due to quantum electron-positron one-loop effects. Since then, these and a variety of other models of non-linear electrodynamics proposed in the course of decades have been extensively studied and used in a wide… 
ModMax meets GCA
A maximally symmetric non-linear extension of Maxwell’s theory in four dimensions called ModMax has been recently introduced in the literature. This theory preserves both electromagnetic duality and
Solutions in Nonlinear Electrodynamics and their double copy regular black holes
: We study solutions in non-linear electrodynamics (NED) and establish several general results. We show, that the SO (2) electric-magnetic duality symmetry is restrictive enough to allow for
On Current-Squared Flows and ModMax Theories
We show that the recently introduced ModMax theory of electrodynamics and its Born-Infeld-like generalization are related by a flow equation driven by a quadratic combination of stress-energy tensors.
Symplectic quantization of multifield generalized Proca electrodynamics
We explicitly carry out the symplectic quantization of a family of multi-field Generalized Proca (GP) electrodynamics theories. In the process, we provide an independent derivation of the so-called


The Bardeen model as a nonlinear magnetic monopole
On p-form gauge theories and their conformal limits
Relations between the various formulations of nonlinear p-form electrodynamics with conformal-invariant weak-field and strong-field limits are clarified, with a focus on duality invariant (2n −
Nonlinear duality-invariant conformal extension of Maxwell’s equations
All non-linear extensions of the source-free Maxwell equations preserving both SO(2) electromagnetic duality invariance and conformal invariance are found, and shown to be limits of a one-parameter
DBI in the IR
The infra-red limit of a planar static D3-brane in AdS is a tensionless D3-brane at the anti-de Sitter horizon with dynamics governed by a strong-field limit of the Dirac–Born–Infeld action,
Field theory of photon dust
Nonlinear relativistic field theory in 3+1 dimensions describing the dust of photons is outlined. This theory possesses an infinite hierarchy of conservation laws. It can be viewed as a limiting case
Lectures on Non Linear Electrodynamics
  • Report RX-476
  • 1970
Nonlinear Electrodynamics: variations on a theme by Born and Infeld
  • In: “Quantum Theory of Particles and Fields: Birthday Volume Dedicated to Jan Lopuszanski” (Eds. B. Jancewicz and J. Lukierski), World Scientific Publishing Co Pte Ltd
  • 1983
Extended duality condition for conformal vacuum nonlinear electrodynamics