• Corpus ID: 245385109

Introductory Notes on Non-linear Electrodynamics and its Applications

@inproceedings{Sorokin2021IntroductoryNO,
  title={Introductory Notes on Non-linear Electrodynamics and its Applications},
  author={Dmitri Sorokin},
  year={2021}
}
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… 
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.
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
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

References

SHOWING 1-10 OF 170 REFERENCES
The Melvin universe in Born-Infeld theory and other theories of nonlinear electrodynamics
We derive a Melvin universe-type solution describing a magnetic field permeating the whole universe in gravity minimally coupled to any nonlinear electromagnetic theory, including Born-Infeld theory.
Exact electromagnetic duality with nonminimal couplings
We study nonminimal extensions of Einstein-Maxwell theory with exact electromagnetic duality invariance. Any such theory involves an infinite tower of higher-derivative terms whose computation and
Effective Lagrangian in nonlinear electrodynamics and its properties of causality and unitarity
In nonlinear electrodynamics, by implementing the causality principle as the requirement that the group velocity of elementary excitations over a background field should not exceed the speed of light
The Quantum Field Theory of Electric and Magnetic Charge
Double-logarithmic nonlinear electrodynamics
A new model of nonlinear electrodynamics is introduced and investigated. The theory carries one dimensionful parameter β as in Born-Infeld electrodynamics. It is shown that the dual symmetry and
Dispersion relations in nonlinear electrodynamics and the kinematics of the Compton effect in a magnetic background
Non-linear electrodynamic models are re-assessed in this paper to pursue an investigation of the kinematics of the Compton effect in a magnetic background. Before considering specific models, we
Electric-Magnetic Duality Rotations in Non-Linear Electrodynamics
Nonlinear Electrodynamics: Lagrangians and Equations of Motion
After a brief discussion of well‐known classical fields we formulate two principles: When the field equations are hyperbolic, particles move along rays like disturbances of the field; the waves
Remarks on nonlinear electrodynamics
We consider both generalized Born–Infeld and exponential electrodynamics. The field energy of a point-like charge is finite only for Born–Infeld-like electrodynamics. However, both Born–Infeld-type
On generalized ModMax model of nonlinear electrodynamics
...
...