论文标题
库仑法在非均匀的欧拉 - 黑森堡理论中
Coulomb Law in the Non-Uniform Euler-Heisenberg Theory
论文作者
论文摘要
我们考虑了非线性古典田地理论，该理论是由麦克斯韦的拉格朗日添加到弱场Euler-Heisenberg Lagrangian和涉及电场和磁场衍生物的不均匀部分的贡献而产生的。我们专注于将磁场设置为零的静电案例，并得出修改后的高斯定律，从而产生了更高的微分方程。该方程式给出了由固定电荷以高阶非线性电动力学产生的电场。我们专门针对积分指控的情况，我们研究了修改后的高斯法律的解决方案，并计算了对库仑法律的校正。
We consider the non-linear classical field theory which results from adding to the Maxwell's Lagrangian the contributions from the weak-field Euler-Heisenberg Lagrangian and a non-uniform part which involves derivatives of the electric and magnetic fields. We focus on the electrostatic case where the magnetic field is set to zero, and we derive the modified Gauss law, resulting in a higher order differential equation. This equation gives the electric field produced by stationary charges in the higher order non-linear electrodynamics. Specializing for the case of a point charge, we investigate the solutions of the modified Gauss law and calculate the correction to the Coulomb law.
