Complex Faraday's Tensor for the Born-Infeld Theory

TL;DR

This paper introduces a complex Faraday tensor into the Born-Infeld theory, providing a new perspective on why nonlinear effects have not been observed experimentally.

Contribution

It proposes a complex-valued extension of the Born-Infeld Lagrangian, offering insights into the absence of nonlinear Born-Infeld phenomena in experiments.

Findings

Complex Faraday tensor modifies Born-Infeld theory

Extension explains lack of observed nonlinear effects

Supports complex Lagrangian approach in field theories

Abstract

In this letter, we reconsider the Born-Infeld approach by replacing the Faraday field-strength tensor by a complex one in the lagrangian density. We show that an extension of the least action principle to complex-valued lagrangian densities permits us to understand why experiments have never exhibited nonlinear Born-Infeld effects.