Finite Field-Energy and Interparticle Potential in Logarithmic Electrodynamics

Abstract

We pursue an investigation of Logarithmic Electrodynamics, for which the field-energy of a point-like charge is finite, as it happens in the case of the usual Born-Infeld electrodynamics. We also show that, contrary to the latter, Logarithmic Electrodynamics exhibits the feature of birefringence. Next, we analyze the lowest-order modifications for both Logarithmic Electrodynamics and for its non-commutative version, within the framework of the gauge-invariant path-dependent variables formalism. The calculation shows a long-range correction ($1/r^5$- type) to the Coulomb potential for Logarithmic Electrodynamics. Interestingly enough, for its non-commutative version, the interaction energy is ultraviolet finite. We highlight the role played by the new quantum of length in our analysis.

11 pages, 2 figures

References in corpus (13)

• New PVLAS results and limits on magnetically induced optical rotation and ellipticity in vacuum
• Asymptotic Reissner-Nordstrom black holes
• Polarized Light Propagating in a Magnetic Field as a Probe of Millicharged Fermions
• Interpretation of Quantum Field Theories with a Minimal Length Scale
• Effective Lagrangian in nonlinear electrodynamics and its properties of causality and unitarity
• Conserved charges for black holes in Einstein-Gauss-Bonnet gravity coupled to nonlinear electrodynamics in AdS space
• Limits on Low Energy Photon-Photon Scattering from an Experiment on Magnetic Vacuum Birefringence
• Detecting photon-photon scattering in vacuum at exawatt lasers
• Nonlinear phase shift from photon-photon scattering in vacuum
• The rotation of magnetic field does not impact vacuum birefringence
• Black holes and the classical model of a particle in Einstein non-linear electrodynamics theory
• Self-Interacting Electromagnetic Fields and a Classical Discussion on the Stability of the Electric Charge
• Remarks on the interquark potential in the presence of a minimal length

Cited by in corpus (40)

• A model of nonlinear electrodynamics
• Nonlinear arcsin-electrodynamics
• Remarks on nonlinear Electrodynamics
• On Generalized Logarithmic Electrodynamics
• Nonlinear electrodynamics with birefringence
• The complete theory of Maxwell and Proca fields
• A Lagrangian constraint analysis of first order classical field theories with an application to gravity
• Note on "Finite Field-Energy and Interparticle Potential in Logarithmic Electrodynamics"
• Dispersion Relations in Non-Linear Electrodynamics and the Kinematics of the Compton Effect in a Magnetic Background
• Self-induced mode mixing of ultraintense lasers in vacuum
• Considerations on the modified Maxwell electrodynamics in the presence of an electric and magnetic background
• Constraining nonlinear corrections to Maxwell electrodynamics using $\gamma \gamma$ scattering
• A note on nonlinear electrodynamics
• Geodesic of nonlinear electrodynamics and stable photon orbits
• Coulomb field in a constant electromagnetic background
• Born-Infeld electrodynamics in very special relativity
• Coulomb's law modification driven by a logarithmic electrodynamics
• Self-energy problem, vacuum polarization, and dual symmetry in Born-Infeld-type $U(1)$ gauge theories
• Vacuum material properties and Cherenkov radiation in Logarithmic Electrodynamics
• Entropy bounds and nonlinear electrodynamics
• Phenomenology of a Born-Infeld extension of the $U(1{)}_{\mathrm{Y}}$ sector at lepton colliders
• Charged black holes from a family of Born-Infeld-type electrodynamics models
• Analytical Calculation of Stored Electrostatic Energy per Unit Length for an Infinite Charged Line and an Infinitely Long Cylinder in the Framework of Born-Infeld Electrostatics
• Electroweak monopoles with a non-linearly realized weak hypercharge
• Holographic Heat Engines Coupled with Logarithmic $U(1)$ Gauge Theory
• Thermodynamics of blackbody radiation in nonlinear electrodynamics
• The force-free dipole magnetosphere in non-linear electrodynamics
• Bekenstein Inequalities and Nonlinear Electrodynamics
• AdS black brane coupled to non-abelian logarithmic gauge theory and color DC conductivity
• Aspects of a novel nonlinear electrodynamics in flat spacetime and in a gravity-coupled scenario
• Non-Abelian Exponential Yang-Mills AdS Black Brane and Transport Coefficients
• Nonlinear Yang-Mills AdS black brane and DC conductivity
• $(1+3)$D topological superconductors: screening and confinement in presence of external fields
• Conductivity and Shear Viscosity of $arcsin$-Yang-Mills AdS Black Brane
• Parallel-plate and spherical capacitors in Born-Infeld electrostatics: An analytical study
• Interaction between two point-like charges in nonlinear electrostatics
• Contributions to $Z^0$ decays from a X17 extension of the Standard Model
• Remarks on inverse electrodynamics
• Transverse electric waves in Bandos-Lechner-Sorokin-Townsend nonlinear electrodynamics
• Kinklike structures in an arcsin real scalar dynamics