Coulomb law in the nonuniform Euler-Heisenberg theory

被引：3

作者：

Bermudez Manjarres, A. D. ^{[1
]}

Nowakowski, M. ^{[2
]}

Batic, D. ^{[3
]}

机构：

[1] Univ Dist Francisco Jose De Caldas, Cra 7 40B-53, Bogota, Colombia

[2] Univ Andes, Dept Fis, Cra 1E 18A-10, Bogota, Colombia

[3] Khalifa Univ Sci & Technol, Dept Math, Main Campus, Abu Dhabi, U Arab Emirates

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2020年 / 35卷 / 33期

关键词：

Euler– Heisenberg nonlinear electrodynamics; quantum electrodynamics; Coulomb law;

D O I：

10.1142/S0217751X20502115

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

We consider the nonlinear classical field theory which results from adding to the Maxwell's Lagrangian the contributions from the weak-field Euler-Heisenberg Lagrangian and a nonuniform 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 nonlinear 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.

引用

页数：13

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