Born-Infeld electrostatics in the complex plane

RAFAEL FERRARO

JOURNAL OF HIGH ENERGY PHYSICS

SPRINGER

Año: 2010 vol. 2010 p. 1 - 21

1126-6708

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.