Abstract

The generalized logarithmic electrodynamics with two parameters \(\beta \) and \(\gamma \) is considered. The indexes of refraction of light in the external magnetic field are calculated. In the case \(\beta =\gamma \) we come to results obtained by Gaete and Helayël-Neto (Eur Phys J C 74:2816, 2014). The bound on the values of \(\beta \), \(\gamma \) was obtained from the Biréfringence Magnétique du Vide (BMV) experiment. The symmetrical Belinfante energy-momentum tensor and dilatation current are found.

Highlights

  • Nonlinear classical electrodynamics in vacuum is of interest because of the one-loop quantum corrections in QED which give non-linear terms [1,2]

  • PVLAS [10] and Biréfringence Magnétique du Vide (BMV) [11] experiments can give the bounds on dimensional parameters introduced in non-linear electrodynamics

  • In this letter we calculate the values of indexes of refraction of light in the external magnetic field in generalized logarithmic electrodynamics and estimate the bound on the values of the parameters β, γ from the BMV experiment

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Summary

Introduction

Nonlinear classical electrodynamics in vacuum is of interest because of the one-loop quantum corrections in QED which give non-linear terms [1,2]. BI non-linear electrodynamics results in a finite electromagnetic energy of point-like particles. Other examples of non-linear electrodynamics were introduced in [5,6,7,8,9]. In the presence of strong external magnetic field, non-linear effects can be observed in experiments. PVLAS [10] and BMV [11] experiments can give the bounds on dimensional parameters introduced in non-linear electrodynamics. In this letter we calculate the values of indexes of refraction of light in the external magnetic field in generalized logarithmic electrodynamics and estimate the bound on the values of the parameters β, γ from the BMV experiment.

The model of generalized logarithmic electrodynamics
G Fμν γ2
Vacuum birefringence
G Fμα γ2

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