论文标题
双层非线性电动力学
Double-logarithmic nonlinear electrodynamics
论文作者
论文摘要
引入和研究了一种名为\ emph {“ double-logarithmic”}的非线性电动力学的新模型。该理论将$β$的一个维参数作为出生的污染电动力学。结果表明，双对称性和扩张（比例）对称性在提议的模型中被打破。该模型得出了点状电荷的电场，并且它在原点上变为非单个电荷，并且通过使用该电场，计算了像电荷这样的点的静态电能。在存在外部磁场的情况下，理论显示了称为真空双折射的现象。计算了两个极化的折射指数，即平行和垂直于外部磁感应场的折射指数。获得了规范和对称的Belinfante能量量张量。使用因果关系和单位性原则，可以找到理论变为因果和统一的区域。
A new model of nonlinear electrodynamics named as \emph{"double-logarithmic"} is introduced and investigated. The theory carries one dimensionful parameter of the $β$ as 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 and it becomes non-singular at the origin and by use of 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 the 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.
