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Double-logarithmic nonlinear electrodynamics
Physica Scripta ( IF 2.9 ) Pub Date : 2021-02-19 , DOI: 10.1088/1402-4896/abe498
Ibrahim Gullu , S Habib Mazharimousavi

A new model of nonlinear electrodynamics is introduced and investigated. The theory carries one dimensionful parameter β as in Born-Infeld electrodynamics. It is shown that the dual symmetry and dilatation (scale) symmetry are broken in the proposed model. The electric field of a point-like charge is derived for this model, showing that it is non-singular at the origin. Using this electric field, the static electric energy of a point-like charge is calculated. In the presence of an external magnetic field, the theory shows a phenomenon known as vacuum birefringence. The refraction index of two polarizations, parallel and perpendicular to the external magnetic induction field, are calculated. The canonical and symmetrical Belinfante energy-momentum tensors are obtained. Using the causality and unitarity principles, the regions where the theory becomes causal and unitary are found.



中文翻译:

双对数非线性电动力学

介绍并研究了一种新的非线性电动力学模型。该理论带有一个量纲参数β就像在Born-Infeld电动力学中一样。结果表明,该模型破坏了双重对称性和伸缩性(尺度)对称性。对于该模型,得出了点状电荷的电场,表明该电场在原点处不是奇异的。使用该电场,计算出点状电荷的静电能。在存在外部磁场的情况下,该理论显示出一种称为真空双折射的现象。计算平行于和垂直于外部磁感应场的两个极化的折射率。得到了正则和对称的Belinfante能量动量张量。使用因果关系和统一性原则,可以找到理论成为因果关系和统一性的区域。

更新日期:2021-02-19
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