Considerations on the modified Maxwell electrodynamics in the presence of an electric and magnetic background

Abstract

The properties of the modified Maxwell electrodynamics (ModMax) are investigated in presence of external and uniform electric and magnetic fields. We expand the non-linear theory around an electromagnetic background up to second order in the propagating fields to obtain the permittivity and permeability tensors, dispersion relations, group velocity and refractive indices as functions of external fields. The case with perpendicular background fields is contemplated. The phenomenon of birefringence is discussed and the fundamental role of the ModMax parameter becomes clear. We calculate the difference of the refractive indices in terms of this parameter and the external fields. Finally, we set up a scenario where the axion is present and compute the interaction energy for the coupled axion-ModMax electrodynamics if a magnetic background field is considered. This calculation is carried out in the framework of the gauge-invariant, but path-dependent variables formalism. Our results show that the interaction energy contains a linear component, leading to the confinement of static probe charges where the interference between the ModMax parameter, the axion mass and the axion-photon coupling constant is pointed out.

12 pages, 2 figures, published version in Physical Review D

References in corpus (10)

• Emergence of non-linear electrodynamic theories from $T\bar{T}$-like deformations
• Black holes and gravitational waves sourced by non-linear duality rotation-invariant conformal electromagnetic matter
• Accelerated Black Holes beyond Maxwell's Electrodynamics
• Maximally symmetric nonlinear extension of electrodynamics and charged particles
• Remarks on nonlinear Electrodynamics
• Magnetic black holes with generalized ModMax model of nonlinear electrodynamics
• Nonlinear Electrodynamics without Birefringence
• Marginal $T\bar{T}$-Like Deformation and ModMax Theories in Two Dimensions
• Black-hole solution in nonlinear electrodynamics with the maximum allowable symmetries
• The DeLLight experiment to observe an optically-induced change of the vacuum index

Cited by in corpus (10)

• Electromagnetized black holes and swirling backgrounds in nonlinear electrodynamics: The ModMax case
• Light Propagation in the vicinity of the ModMax black hole
• Flows in the Space of Interacting Chiral Boson Theories
• Comparative of light propagation in Born-Infeld, Euler-Heisenberg and ModMax nonlinear electrodynamics
• Scattering and absorption of massless scalar waves by a ModMax black hole
• Effects of wave propagation in canonical Poisson gauge theory under an external magnetic field
• Dispersion and absorption effects in the linearized Euler-Heisenberg electrodynamics under an external magnetic field
• Compton scattering in Bandos-Lechner-Sorokin-Townsend nonlinear electrodynamics
• Transverse electric waves in Bandos-Lechner-Sorokin-Townsend nonlinear electrodynamics
• Bound states around vacuum in scalar ModMax model