Maximally symmetric nonlinear extension of electrodynamics and charged particles

Abstract

We consider couplings of electrically and magnetically charged sources to the maximally symmetric non-linear extension of Maxwell's theory called ModMax. The aim is to reveal physical effects which distinguish ModMax from Maxwell's electrodynamics. We find that, in contrast to generic models of non-linear electrodynamics, Lienard-Wiechert fields induced by a moving electric or magnetic particle, or a dyon are exact solutions of the ModMax equations of motion. We then study whether and how ModMax non-linearity affects properties of electromagnetic interactions of charged objects, in particular the Lorentz force, the Coulomb law, the Lienard-Wiechert fields, Dirac's and Schwinger's quantization of electric and magnetic charges, and the Compton Effect. In passing we also present an alternative form of the ModMax Lagrangian in terms of the coupling of Maxwell's theory to axion-dilaton-like auxiliary scalar fields which may be relevant for revealing the effective field theory origin of ModMax.

20 pages, v2: title changed to match the PRD version, typos corrected, references updated

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Cited by in corpus (27)

• Shadow, lensing, quasinormal modes, greybody bounds and neutrino propagation by dyonic ModMax black holes
• Root-$T\overline{T}$ Deformations in Two-Dimensional Quantum Field Theories
• Accelerated Black Holes beyond Maxwell's Electrodynamics
• On the Classical Integrability of Root-$T\overline{T}$ Flows
• Electromagnetized black holes and swirling backgrounds in nonlinear electrodynamics: The ModMax case
• Marginal $T\bar{T}$-Like Deformation and ModMax Theories in Two Dimensions
• Gravity and $T\bar{T}$ flows in higher dimensions
• Manifestly $SL(2,R)$ Duality-Symmetric Forms in ModMax Theory
• Root-$T\overline{T}$ Deformed Boundary Conditions in Holography
• Thermal fluctuations of (non)linearly charged BTZ black hole in massive gravity
• Stress Tensor Flows, Birefringence in Non-Linear Electrodynamics, and Supersymmetry
• Considerations on the modified Maxwell electrodynamics in the presence of an electric and magnetic background
• Solutions in Nonlinear Electrodynamics and their double copy regular black holes
• Quantization of the ModMax Oscillator
• ModMax Oscillators and Root-$T\overline{T}$-Like Flows in Supersymmetric Quantum Mechanics
• Flows in the Space of Interacting Chiral Boson Theories
• Topological Mod(A)Max AdS black holes
• Scattering and absorption of massless scalar waves by a ModMax black hole
• Waves and strings in an interacting conformal chiral 2-form theory in six dimensions
• Probing the interference between non-linear, axionic and space-time-anisotropy effects in the QED vacuum
• On the radiation field of a linearly accelerated charged particle in Born-Infeld theory
• Compton scattering in Bandos-Lechner-Sorokin-Townsend nonlinear electrodynamics
• Field-Dependent Metrics and Higher-Form Symmetries in Duality-Invariant Theories of Non-Linear Electrodynamics
• Thermodynamics and optical aspects of ModMax black holes in higher order curvature gravity with quintessence dark energy
• Accelerating electrically charged ModMax black hole solutions in $F(R)$ gravity
• Bound states around vacuum in scalar ModMax model
• Contributions to $Z^0$ decays from a X17 extension of the Standard Model