BornInfeld electrostatics in the complex plane
Abstract
The complex method to obtain 2dimensional BornInfeld 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 BornInfeld 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 BornInfeld constant.
 Publication:

Journal of High Energy Physics
 Pub Date:
 December 2010
 DOI:
 10.1007/JHEP12(2010)028
 arXiv:
 arXiv:1007.2651
 Bibcode:
 2010JHEP...12..028F
 Keywords:

 Integrable Equations in Physics;
 Integrable Field Theories;
 High Energy Physics  Theory;
 Mathematical Physics
 EPrint:
 15 pages, 4 figures