SPACE, TIME AND FUNDAMENTAL INTERACTIONS

HYPERBOLIC-LOGARITHMIC MODEL OF NONLINEAR ELECTRODYNAMICS

Groshev D.E., Spasov D.A.

In this paper we consider a new model of nonlinear electrodynamics - "Hyperbolic-logarithmic". This model contain a three parameters and describe by following Lagrangian: \(\mathcal{L} = - \mathcal{F} - \frac{A}{\beta}arth(\beta \mathcal{F}) - \frac{C}{2\beta} [\ln (1+\beta \mathcal{F}) + \ln(1+\beta \mathcal{F})]\), where \(\mathcal{F} = \frac{1}{4} F_{ik} F^{ik}\). We show, that in this model dual symmetry is broken. Also we proved that the electric field of a point-like charge becomes non-singular in this framework, static electric energy of this charge is finite. We calculate a theory parameters values guided by electron parameters and Abraham - Lorentz idea about a pure electromagnetic nature of electron mass. We find the canonical and symmetrical Belifante energy momentum tensors.