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2023, no. 1

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.

Keywords: Nonlinear electrodynamics, Energy-momentum tensor, Point-like charge energy.

UDC: 530.12, 531.51

PACS: 03.50.Kk, 41.20.Cv

DOI: 10.17238/issn2226-8812.2023.1.4145

Please cite this article in English as:
Groshev D. E., Spasov D.A. Hyperbolic-logarithmic model of nonlinear electrodynamics. Space, Time and Fundamental Interactions, 2023, no. 1, pp. 4145.