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Born-Infeld electrostatics in the complex plane

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Abstract

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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Authors and Affiliations

  1. Instituto de Astronomíay Física del Espacio, Casilla de Correo 67, Sucursal 28, 1428, Buenos Aires, Argentina

    Rafael Ferraro

  2. Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, 1428, Buenos Aires, Argentina

    Rafael Ferraro

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  1. Rafael Ferraro
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Correspondence to Rafael Ferraro.

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Member of Carreradel Investigador Cientófico (CONICET, Argentina).

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Ferraro, R. Born-Infeld electrostatics in the complex plane. J. High Energ. Phys. 2010, 28 (2010). https://doi.org/10.1007/JHEP12(2010)028

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  • DOI: https://doi.org/10.1007/JHEP12(2010)028

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