Born-Infeld electrostatics in the complex plane

Details Born-Infeld electrostatics in the complex plane Born-Infeld electrostatics in the complex plane

2010-07-15

arxiv.org/abs/1007.2651v3

JHEP 1012:028,2010

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, 4 figures

Scientific paper

10.1007/JHEP12(2010)028

The complex method to obtain 2-dimensional Born-Infeld electrostatic solutions is presented in a renewed form. The solutions are generated by a holomorphic seed that makes contact with the Coulombian complex potential. The procedure is exemplified by solving the Born-Infeld multipolar configurations. Besides, it is shown that the attractive force between two equal but opposite charges is lower than its Coulombian partner; it decreases up to vanish when the charges approach each other below a distance ruled by the Born-Infeld constant.

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