
arXiv: hep-th/0309185
handle: 11336/21196
The electrostatic configurations of the Born-Infeld field in the 2-dimensional Euclidean plane are obtained by means of a non-analytical complex mapping which captures the structure of equipotential and field lines. The electrostatic field reaches the Born-Infeld limit value when the field lines become tangent to an epicycloid around the origin. The total energy by unit of length remains finite.
4 pages, 2 figures
High Energy Physics - Theory, non-holomorphic mappings, High Energy Physics - Theory (hep-th), BORN-INFELD, https://purl.org/becyt/ford/1.3, non-linear electrodynamics, FOS: Physical sciences, Model quantum field theories, https://purl.org/becyt/ford/1, Electro- and magnetostatics, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
High Energy Physics - Theory, non-holomorphic mappings, High Energy Physics - Theory (hep-th), BORN-INFELD, https://purl.org/becyt/ford/1.3, non-linear electrodynamics, FOS: Physical sciences, Model quantum field theories, https://purl.org/becyt/ford/1, Electro- and magnetostatics, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
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