Note on "Finite Field-Energy and Interparticle Potential in Logarithmic Electrodynamics"
D.Gitman, A.Shabad
TL;DR
This paper refines a nonlinear electrodynamics model by fixing its free parameter through comparison with the Heisenberg-Euler Lagrangian, resulting in a field-energy estimate close to the electron mass.
Contribution
It identifies the free parameter in a nonlinear electrodynamics model by matching its Lagrangian expansion with the Heisenberg-Euler Lagrangian, providing a physical interpretation.
Findings
The field-energy of a point charge is approximately 0.988 times the electron mass.
The parameter fixing aligns the model with known quantum electrodynamics results.
The approach offers a new way to interpret nonlinear electrodynamics in terms of particle properties.
Abstract
We propose an identification of the free parameter in the model of nonlinear electrodynamics proposed in P. Gaete and J. Helayel-Neto, Eur. Phys. J. C 74, 2816 (2014) by equating the second term in the power expansion of its Lagrangian with that in the expansion of the Heiseberg-Euler Lagrangian. The resulting value of the field-energy of a point-like charge makes 0.988 of the electron mass, if the charge is that of the electron.
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